{"id":4601,"date":"2023-02-25T05:33:32","date_gmt":"2023-02-25T05:33:32","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=4601"},"modified":"2023-02-25T05:34:57","modified_gmt":"2023-02-25T05:34:57","slug":"ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/","title":{"rendered":"NCERT Solutions Class 9 Maths Chapter 14 Statistics Ex 14.3"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 9 Maths\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 14 (Statistics)\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 9 Mathematics\u00a0<strong>Chapter &#8211; 14 Statistics <\/strong>Exercise 14.3 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>Chapter 14: Statistics<\/strong><\/span><\/p>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-1\/\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 9 Maths Ex &#8211; 14.1<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-2\/\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 9 Maths Ex &#8211; 14.2<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-4\/\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 9 Maths Ex &#8211; 14.4<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 14.3<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>1. A survey conducted by an organisation for the cause of illness and death among women between the ages 15 \u2013 44 (in years) worldwide found the following figures (in %):<\/strong><\/span><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>S.No.<\/strong><\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Causes<\/strong><\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Female fatality rate (%)<\/strong><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">1.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Reproductive health conditions<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">31.8<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Neuropsychiatric conditions<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">25.4<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Injuries<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">12.4<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Cardiovascular conditions<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4.3<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Respiratory conditions<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4.1<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">6.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Other causes<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">22.0<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) <\/strong>Represent the information given above graphically.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii) <\/strong>Which condition is the major cause of women\u2019s ill health and death worldwide?<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii) <\/strong>Try to find out, with the help of your teacher, any two factors which play a major role in the cause in (ii) above is the major cause.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Answer &#8211;\u00a0<\/span><\/strong><span style=\"font-family: georgia, palatino, serif;\">The given\u00a0data\u00a0can be represented\u00a0by using a\u00a0bar graph\u00a0as shown below:<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i)<\/strong> The information given in the question is represented below graphically.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4911\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1.png\" alt=\"NCERT Class 9 Solutions Maths\" width=\"621\" height=\"317\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1.png 1128w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1-300x153.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1-1024x523.png 1024w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1-768x392.png 768w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1-480x245.png 480w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><br \/>\n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong> We can observe from the graph that reproductive health conditions are the major cause of women\u2019s ill health and death worldwide.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii)<\/strong> Two factors responsible for the cause in (ii) are:<\/span><\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Lack of proper care and understanding.<\/span><\/span><\/li>\n<li><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Lack of medical facilities.<\/span><\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>2. The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society are given below.<\/strong><\/span><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>S.No.<\/strong><\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Section<\/strong><\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Number of girls per thousand boys<\/strong><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">1.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Scheduled Caste (SC)\u00a0\u00a0<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">940<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Scheduled Tribe (ST)\u00a0<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">970<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Non SC\/ST\u00a0<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">920<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Backward districts\u00a0<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">950<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Non-backward districts\u00a0<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">920<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">6.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Rural\u00a0<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">930<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">7.<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Urban\u00a0<\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">910<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) <\/strong>Represent the information above by a bar graph.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong> In the classroom, discuss what conclusions can be arrived at from the graph. <\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Answer &#8211;<\/strong><br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">(i)\u00a0The above data can be represented on a bar graph as below:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4912\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans2.jpeg\" alt=\"NCERT Class 9 Solutions Maths\" width=\"640\" height=\"291\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans2.jpeg 640w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans2-300x136.jpeg 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans2-480x218.jpeg 480w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii) <\/strong><\/span>It can be observed from the graph that:<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">The number of girls per thousand boys represented in the graph is maximum\u00a0for Scheduled Tribe (ST).<\/span><\/li>\n<li><span style=\"color: #000000;\">The number of girls per thousand boys\u00a0represented in the graph\u00a0is lowest for urban.<\/span><\/li>\n<li><span style=\"color: #000000;\">The number of girls per thousand boys are higher in rural area than in urban.<\/span><\/li>\n<li><span style=\"color: #000000;\">The number of girls per thousand boys are also higher in backward districts than\u00a0in non-backwards.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>3. Given below are the seats won by different political parties in the polling outcome of a state assembly election:<\/strong><\/span><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Political party<\/strong><\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">\u00a0 \u00a0 A \u00a0 \u00a0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">\u00a0 \u00a0 B \u00a0\u00a0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">\u00a0 \u00a0 C \u00a0 \u00a0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">\u00a0 \u00a0 \u00a0D \u00a0 \u00a0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">\u00a0 \u00a0 \u00a0E \u00a0 \u00a0<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">\u00a0 \u00a0 \u00a0F \u00a0 \u00a0<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Seats won<\/strong><\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">75<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">55<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">37<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">29<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">10<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">37<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) <\/strong>Draw a bar graph to represent the polling results.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii) <\/strong>Which political party won the maximum number of seats?<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Answer &#8211;<\/strong> <\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i)<\/strong> The given\u00a0data\u00a0is represented on a bar graph by:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4913\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans3.jpeg\" alt=\"NCERT Class 9 Solutions Maths\" width=\"640\" height=\"356\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans3.jpeg 640w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans3-300x167.jpeg 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans3-480x267.jpeg 480w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong> From the graph, it can be observed that the political party \u2018A\u2019 won the maximum number of results.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>4. The length of 40 leaves of a plant is measured correct to one millimeter, and the obtained data is represented in the following table:<\/strong><\/span><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>S.No.<\/strong><\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Length (in mm)<\/strong><\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Number of leaves\u00a0<\/strong><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">1<\/span><strong><span style=\"font-family: georgia, palatino, serif;\">.<\/span><\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">118<\/span><span style=\"font-family: georgia, palatino, serif;\"> \u2013 126<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">127<\/span><span style=\"font-family: georgia, palatino, serif;\"> \u2013 <\/span><span style=\"font-family: georgia, palatino, serif;\">135<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">136 \u2013 144<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">9<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">145 \u2013 153<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">12<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">154 \u2013 162<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">6.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">163 \u2013 171<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">7.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">172 \u2013 180<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) <\/strong>Draw a histogram to represent the given data. [<strong>Hint:<\/strong> First make the class intervals continuous]<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii) <\/strong>Is there any other suitable graphical representation for the same data?<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii) <\/strong>Is it correct to conclude that the maximum number of leaves is 153 mm long? Why?<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Answer &#8211;<\/strong><br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i)<\/strong> We have to find the difference between the upper limit and the lower limit of a class. We then add half of the resultant difference to each upper limits and subtract the same resultant difference from each of the lower limits. Since the difference between the upper limit and the lower limit of a class is 1 i.e, (127 \u2013 126 = 1). So half of 1 is 0.5.\u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">Then the table becomes:<\/span><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">S.No.<\/span><\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Length (in mm)<\/span><\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Number of leaves<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">1.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">117.5 \u2013 126.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">126.5 \u2013 135.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">135.5 \u2013 144.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">9<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">144.5 \u2013 153.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">12<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">153.5 \u2013 162.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">6.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">162.5 \u2013 171.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">7.<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">171.5 \u2013 180.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: #000000;\">The above data is represented\u00a0through a histogram as below:<\/span><br \/>\n<span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4914\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans4.jpeg\" alt=\"NCERT Class 9 Solutions Maths\" width=\"547\" height=\"354\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans4.jpeg 569w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans4-300x194.jpeg 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans4-480x310.jpeg 480w\" sizes=\"auto, (max-width: 547px) 100vw, 547px\" \/><\/span><br \/>\n<span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong> Yes, the data given in the question can also be represented by a frequency polygon.<\/span><\/span><\/p>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii)<\/strong> No, we cannot conclude that the maximum number of leaves is 153 mm long because the maximum number of leaves are lying in between the length of 144.5 \u2013 153.5<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>5. The following table gives the life times of 400 neon lamps:<\/strong><\/span><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Life Time (in hours)<\/strong><\/span><\/span><\/td>\n<td><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Number of lamps<\/strong><\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">300<\/span><span style=\"font-family: georgia, palatino, serif;\"> \u2013 <\/span><span style=\"font-family: georgia, palatino, serif;\">400<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">14<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">400 \u2013 500<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">56<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">500 \u2013 600<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">60<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">600 \u2013 700<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">86<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">700 \u2013 800<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">74<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">800 \u2013 900<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">62<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">900 \u2013 1000<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">48<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) <\/strong>Represent the given information with the help of a histogram.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong>\u00a0How many lamps have a life time of more than 700 hours?<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Answer &#8211;<\/strong> <\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i)<\/strong> From the data given we plot the histogram as:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4915\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans5.png\" alt=\"NCERT Class 9 Solutions Maths\" width=\"640\" height=\"490\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans5.png 640w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans5-300x230.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans5-480x368.png 480w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong> The number of lamps having a life time of more than 700 hours = 74 + 62 + 48 = 184<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>6. The following table gives the distribution of students of two sections according to the marks obtained by them:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4916\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q6.jpeg\" alt=\"NCERT Class 9 Solutions Maths\" width=\"640\" height=\"223\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q6.jpeg 640w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q6-300x105.jpeg 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q6-480x167.jpeg 480w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons, compare the performance of the two sections.<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Answer &#8211;<\/strong> \u00a0Class Mark = (Upper Limit + Lower Limit)\/2<br \/>\nNow, the data table with the inclusion of class marks is as follows:<br \/>\n<\/span><strong><span style=\"font-family: georgia, palatino, serif;\">For section A,<\/span><\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Marks<\/span><\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Class-marks<\/span><\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Frequency<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">0 &#8211; 10<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">10 &#8211; 20<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">15<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">9<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">20 &#8211; 30<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">25<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">17<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">30 &#8211; 40<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">35<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">12<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">40 &#8211; 50<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">45<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">9<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">For section B,<\/span><\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Marks<\/span><\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Class-marks<\/span><\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Frequency<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">0 &#8211; 10<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">10 &#8211; 20<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">15<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">19<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">20 &#8211; 30<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">25<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">15<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">30 &#8211; 40<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">35<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">10<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">40 &#8211; 50<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">45<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">1<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Representing these data on a graph using two frequency polygon we get,<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4917\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans6.png\" alt=\"NCERT Class 9 Solutions Maths\" width=\"742\" height=\"491\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans6.png 1146w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans6-300x198.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans6-1024x677.png 1024w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans6-768x508.png 768w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans6-480x317.png 480w\" sizes=\"auto, (max-width: 742px) 100vw, 742px\" \/><br \/>\n<\/span><\/strong><span style=\"font-family: georgia, palatino, serif;\">From the graph, we can conclude that the students of Section A performed better than Section B.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>7<\/strong>.\u00a0<strong>The runs scored by two teams A and B, on the first 60 balls in a cricket match are given below:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4918\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q7.jpeg\" alt=\"NCERT Class 9 Solutions Maths\" width=\"640\" height=\"353\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q7.jpeg 640w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q7-300x165.jpeg 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q7-480x265.jpeg 480w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>Represent the data of both teams on the same graph by frequency polygons.<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>[Hint: <\/strong>First make the class intervals continuous<strong>.]<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Answer &#8211;<\/strong> \u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">The data given in the question is represented in discontinuous class intervals. So, we have to make it in continuous class intervals. The difference is 1, so taking half of 1, we subtract \u00bd = 0.5 = 0.5 from the lower limit and add 0.5 to the upper limit. Then the table becomes:<\/span><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Number of balls<\/span><\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Class Mark<\/span><\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Team A<\/span><\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Team B<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">0.5 &#8211; 6.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">6.5 &#8211; 12.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">9.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">6<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">12.5 &#8211; 18.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">15.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">8<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">18.5 &#8211; 24.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">21.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">9<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">10<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">24.5 &#8211; 30.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">27.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">30.5 &#8211; 36.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">33.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">6<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">36.5 &#8211; 42.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">39.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">6<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">42.5 &#8211; 48.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">45.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">10<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">48.5 &#8211; 54.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">51.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">6<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">8<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">54.5 &#8211; 60.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">57.5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">10<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">The data of both the teams are represented on the graph below by frequency polygons.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4919\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans7.png\" alt=\"NCERT Class 9 Solutions Maths\" width=\"790\" height=\"412\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans7.png 1146w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans7-300x157.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans7-1024x534.png 1024w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans7-768x401.png 768w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans7-480x250.png 480w\" sizes=\"auto, (max-width: 790px) 100vw, 790px\" \/><\/span><strong><span style=\"font-family: georgia, palatino, serif;\"><br \/>\n<\/span><\/strong><span style=\"font-family: georgia, palatino, serif;\"><strong>8. The results of a random survey of the number of children of various age groups playing in a park were as follows:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4920\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q8.jpeg\" alt=\"NCERT Class 9 Solutions Maths\" width=\"640\" height=\"310\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q8.jpeg 640w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q8-300x145.jpeg 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q8-480x233.jpeg 480w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>Draw a histogram to represent the data above.<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Answer &#8211;<\/strong> \u00a0<\/span><span style=\"font-family: georgia, palatino, serif;\">The width of the class intervals in the given data is varying.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">We know that,<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">The area of a rectangle is proportional to the frequencies in the histogram.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Thus, the proportion of the children per year can be calculated as given in the table below.<\/span><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Age<br \/>\n<\/span>(in years)<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Number of children<br \/>\n(frequency)<\/span><\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Width of class<\/span><\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Length of rectangle<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">1 &#8211; 2<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">(5\/1) \u00d7 1 = 5<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2 &#8211; 3<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">1<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">(3\/1) \u00d7 1 = 3<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3 &#8211; 5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">6<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">(6\/2) \u00d7 1 = 3<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5 &#8211; 7<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">12<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">(12\/2) \u00d7 1 = 6<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">7 &#8211; 10<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">9<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">(9\/3) \u00d7 1 = 3<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">10 &#8211; 15<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">10<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">5<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">(10\/5) \u00d7 1 = 2<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">15 &#8211; 17<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">(4\/2) \u00d7 1 = 2<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">Let x-axis = the age of children<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">y-axis = proportion of children per 1-year interval<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4921\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans8.png\" alt=\"NCERT Class 9 Solutions Maths\" width=\"631\" height=\"415\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans8.png 631w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans8-300x197.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans8-480x316.png 480w\" sizes=\"auto, (max-width: 631px) 100vw, 631px\" \/><br \/>\n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>9. 100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4922\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q9.jpeg\" alt=\"NCERT Class 9 Solutions Maths\" width=\"640\" height=\"238\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q9.jpeg 640w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q9-300x112.jpeg 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Q9-480x179.jpeg 480w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) <\/strong>Draw a histogram to depict the given information.<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong> Write the class interval where the maximum number of surnames lie.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Answer &#8211;<\/strong><br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">It can be observed from the given data that it has class intervals of varying widths.<br \/>\n<\/span>The proportion of the number of surnames per 2 letters\u00a0(class interval of minimum class size for reference) can be made.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) <\/strong>The length of rectangles are calculated as below:<br \/>\n<\/span><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Number of letters<\/span><\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Number of surnames<\/span><\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Width of class<\/span><\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Length of rectangle<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">1 &#8211; 4<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">6<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">3<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">(6\/3) \u00d7 2 = 4<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4 &#8211; 6<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">30<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">(30\/2) \u00d7 2 = 30<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">6 &#8211; 8<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">44<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">2<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">(44\/2) \u00d7 2 = 44<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">8 &#8211; 12<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">16<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">(16\/4) \u00d7 2 = 8<\/span><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">12 &#8211; 20<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">4<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">8<\/span><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\">(4\/8) \u00d7 2 = 1<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4923\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans9.png\" alt=\"NCERT Class 9 Solutions Maths\" width=\"513\" height=\"278\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans9.png 513w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans9-300x163.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans9-480x260.png 480w\" sizes=\"auto, (max-width: 513px) 100vw, 513px\" \/><\/span><\/p>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong> The class interval in which the maximum number of surnames lie is\u00a06 \u2013 8.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 9 Maths\u00a0 Chapter &#8211; 14 (Statistics)\u00a0 The NCERT Solutions in English Language for Class 9 Mathematics\u00a0Chapter &#8211; 14 Statistics Exercise 14.3 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 14: Statistics NCERT Solution Class 9 Maths Ex &#8211; 14.1 NCERT Solution Class 9 Maths [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[698],"tags":[727,702,186,728,701,5],"class_list":["post-4601","post","type-post","status-publish","format-standard","hentry","category-class-9-maths","tag-class-9th-chapter-14-statistics-in-english","tag-ncert-solution-class-9","tag-ncert-solutions","tag-ncert-solutions-class-9-maths-chapter-14-in-english","tag-ncert-solutions-class-9-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 9 Maths Chapter 14 Statistics Ex 14.3 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 9 Maths\u00a0Chapter - 14 (Statistics)\u00a0The NCERT Solutions in English Language for Class 9 Mathematics\u00a0Chapter - 14 Statistics Exercise 14.3 has been provided here to help the students in solving the questions from this exercise.\u00a0Exercise - 14.3\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions Class 9 Maths Chapter 14 Statistics Ex 14.3\" \/>\n<meta property=\"og:description\" content=\"NCERT Solutions Class 9 Maths\u00a0Chapter - 14 (Statistics)\u00a0The NCERT Solutions in English Language for Class 9 Mathematics\u00a0Chapter - 14 Statistics Exercise 14.3 has been provided here to help the students in solving the questions from this exercise.\u00a0Exercise - 14.3\" \/>\n<meta property=\"og:url\" content=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/\" \/>\n<meta property=\"og:site_name\" content=\"TheExamPillar NCERT\" \/>\n<meta property=\"article:published_time\" content=\"2023-02-25T05:33:32+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-02-25T05:34:57+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1.png\" \/>\n<meta name=\"author\" content=\"Admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@exampillar\" \/>\n<meta name=\"twitter:site\" content=\"@exampillar\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"10 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/\"},\"author\":{\"name\":\"Admin\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\"},\"headline\":\"NCERT Solutions Class 9 Maths Chapter 14 Statistics Ex 14.3\",\"datePublished\":\"2023-02-25T05:33:32+00:00\",\"dateModified\":\"2023-02-25T05:34:57+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/\"},\"wordCount\":1216,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\"},\"image\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2023\\\/02\\\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1.png\",\"keywords\":[\"Class 9th Chapter 14 Statistics in English\",\"Ncert Solution Class 9\",\"NCERT Solutions\",\"NCERT Solutions Class 9 Maths Chapter 14 in english\",\"NCERT Solutions Class 9 Maths in English\",\"NCERT Solutions in English\"],\"articleSection\":[\"Class 9 Maths\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/\",\"name\":\"NCERT Solutions Class 9 Maths Chapter 14 Statistics Ex 14.3 | TheExamPillar NCERT\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2023\\\/02\\\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1.png\",\"datePublished\":\"2023-02-25T05:33:32+00:00\",\"dateModified\":\"2023-02-25T05:34:57+00:00\",\"description\":\"NCERT Solutions Class 9 Maths\u00a0Chapter - 14 (Statistics)\u00a0The NCERT Solutions in English Language for Class 9 Mathematics\u00a0Chapter - 14 Statistics Exercise 14.3 has been provided here to help the students in solving the questions from this exercise.\u00a0Exercise - 14.3\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/#primaryimage\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2023\\\/02\\\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1.png\",\"contentUrl\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2023\\\/02\\\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1.png\",\"width\":1128,\"height\":576,\"caption\":\"NCERT Class 9 Solutions Maths\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"NCERT Solutions Class 9 Maths Chapter 14 Statistics Ex 14.3\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#website\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/\",\"name\":\"TheExamPillar NCERT\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\"},\"alternateName\":\"NCERT Solution\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\",\"name\":\"Admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\",\"contentUrl\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\",\"width\":512,\"height\":512,\"caption\":\"Admin\"},\"logo\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\"},\"sameAs\":[\"https:\\\/\\\/theexampillar.com\\\/ncert\"],\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/author\\\/ncert_eng_vikram\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"NCERT Solutions Class 9 Maths Chapter 14 Statistics Ex 14.3 | TheExamPillar NCERT","description":"NCERT Solutions Class 9 Maths\u00a0Chapter - 14 (Statistics)\u00a0The NCERT Solutions in English Language for Class 9 Mathematics\u00a0Chapter - 14 Statistics Exercise 14.3 has been provided here to help the students in solving the questions from this exercise.\u00a0Exercise - 14.3","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions Class 9 Maths Chapter 14 Statistics Ex 14.3","og_description":"NCERT Solutions Class 9 Maths\u00a0Chapter - 14 (Statistics)\u00a0The NCERT Solutions in English Language for Class 9 Mathematics\u00a0Chapter - 14 Statistics Exercise 14.3 has been provided here to help the students in solving the questions from this exercise.\u00a0Exercise - 14.3","og_url":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/","og_site_name":"TheExamPillar NCERT","article_published_time":"2023-02-25T05:33:32+00:00","article_modified_time":"2023-02-25T05:34:57+00:00","og_image":[{"url":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1.png","type":"","width":"","height":""}],"author":"Admin","twitter_card":"summary_large_image","twitter_creator":"@exampillar","twitter_site":"@exampillar","twitter_misc":{"Written by":"Admin","Est. reading time":"10 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/#article","isPartOf":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/"},"author":{"name":"Admin","@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1"},"headline":"NCERT Solutions Class 9 Maths Chapter 14 Statistics Ex 14.3","datePublished":"2023-02-25T05:33:32+00:00","dateModified":"2023-02-25T05:34:57+00:00","mainEntityOfPage":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/"},"wordCount":1216,"commentCount":0,"publisher":{"@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1"},"image":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/#primaryimage"},"thumbnailUrl":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1.png","keywords":["Class 9th Chapter 14 Statistics in English","Ncert Solution Class 9","NCERT Solutions","NCERT Solutions Class 9 Maths Chapter 14 in english","NCERT Solutions Class 9 Maths in English","NCERT Solutions in English"],"articleSection":["Class 9 Maths"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/","url":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/","name":"NCERT Solutions Class 9 Maths Chapter 14 Statistics Ex 14.3 | TheExamPillar NCERT","isPartOf":{"@id":"https:\/\/theexampillar.com\/ncert\/#website"},"primaryImageOfPage":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/#primaryimage"},"image":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/#primaryimage"},"thumbnailUrl":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1.png","datePublished":"2023-02-25T05:33:32+00:00","dateModified":"2023-02-25T05:34:57+00:00","description":"NCERT Solutions Class 9 Maths\u00a0Chapter - 14 (Statistics)\u00a0The NCERT Solutions in English Language for Class 9 Mathematics\u00a0Chapter - 14 Statistics Exercise 14.3 has been provided here to help the students in solving the questions from this exercise.\u00a0Exercise - 14.3","breadcrumb":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/#primaryimage","url":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1.png","contentUrl":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/02\/NCERT-Solutions-Class-9-Maths-Ex-14.3-Ans1.png","width":1128,"height":576,"caption":"NCERT Class 9 Solutions Maths"},{"@type":"BreadcrumbList","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-3\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/theexampillar.com\/ncert\/"},{"@type":"ListItem","position":2,"name":"NCERT Solutions Class 9 Maths Chapter 14 Statistics Ex 14.3"}]},{"@type":"WebSite","@id":"https:\/\/theexampillar.com\/ncert\/#website","url":"https:\/\/theexampillar.com\/ncert\/","name":"TheExamPillar NCERT","description":"","publisher":{"@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1"},"alternateName":"NCERT Solution","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/theexampillar.com\/ncert\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":["Person","Organization"],"@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1","name":"Admin","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png","url":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png","contentUrl":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png","width":512,"height":512,"caption":"Admin"},"logo":{"@id":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png"},"sameAs":["https:\/\/theexampillar.com\/ncert"],"url":"https:\/\/theexampillar.com\/ncert\/author\/ncert_eng_vikram\/"}]}},"_links":{"self":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts\/4601","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/comments?post=4601"}],"version-history":[{"count":4,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts\/4601\/revisions"}],"predecessor-version":[{"id":5129,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts\/4601\/revisions\/5129"}],"wp:attachment":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/media?parent=4601"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/categories?post=4601"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/tags?post=4601"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}