{"id":4600,"date":"2023-02-25T05:33:17","date_gmt":"2023-02-25T05:33:17","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=4600"},"modified":"2023-02-25T05:34:43","modified_gmt":"2023-02-25T05:34:43","slug":"ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-14-statistics-ex-14-2\/","title":{"rendered":"NCERT Solutions Class 9 Maths Chapter 14 Statistics Ex 14.2"},"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 14.2 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-14-3\/\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 9 Maths Ex &#8211; 14.3<\/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; 14.2<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. The blood groups of 30 students of Class VIII are recorded as follows:<br \/>\n<\/strong><strong>A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O,<br \/>\n<\/strong><strong>A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.<br \/>\n<\/strong><strong>Represent this data in the form of a frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Answer &#8211;\u00a0<\/strong>\u2018Frequency\u2019 of a particular data refers to the number of times the data value occurs. In our case, frequency refers to the number of students having the same blood group. <\/span><br \/>\n<span style=\"color: #000000;\">The blood group of 30 students of Class VIII can be shown as follows:<\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><strong><span style=\"color: #000000;\">Blood Group<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"><strong><span style=\"color: #000000;\">Number of Students<br \/>\n(Frequency)<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">A<\/span><\/td>\n<td><span style=\"color: #000000;\">9<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">B<\/span><\/td>\n<td><span style=\"color: #000000;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">O<\/span><\/td>\n<td><span style=\"color: #000000;\">12<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">AB<\/span><\/td>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"color: #000000;\">Total<\/span><\/strong><\/td>\n<td><span style=\"color: #000000;\">30<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p><span style=\"color: #000000;\">The most common (most frequently occurring) blood group is \u2018O\u2019.<\/span><br \/>\n<span style=\"color: #000000;\">The rarest blood group (least frequently occurring) is \u2018AB.\u2019<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. The distance (in km) of 40 engineers from their residence to their place of work was found as follows:<br \/>\n<\/strong><\/span><\/p>\n<table style=\"width: 50%;\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<td><span style=\"color: #000000;\">10<\/span><\/td>\n<td><span style=\"color: #000000;\">20<\/span><\/td>\n<td><span style=\"color: #000000;\">25<\/span><\/td>\n<td><span style=\"color: #000000;\">11<\/span><\/td>\n<td><span style=\"color: #000000;\">13<\/span><\/td>\n<td><span style=\"color: #000000;\">7<\/span><\/td>\n<td><span style=\"color: #000000;\">12<\/span><\/td>\n<td><span style=\"color: #000000;\">31<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">19<\/span><\/td>\n<td><span style=\"color: #000000;\">10<\/span><\/td>\n<td><span style=\"color: #000000;\">12<\/span><\/td>\n<td><span style=\"color: #000000;\">17<\/span><\/td>\n<td><span style=\"color: #000000;\">18<\/span><\/td>\n<td><span style=\"color: #000000;\">11<\/span><\/td>\n<td><span style=\"color: #000000;\">32<\/span><\/td>\n<td><span style=\"color: #000000;\">17<\/span><\/td>\n<td><span style=\"color: #000000;\">16<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">7<\/span><\/td>\n<td><span style=\"color: #000000;\">9<\/span><\/td>\n<td><span style=\"color: #000000;\">7<\/span><\/td>\n<td><span style=\"color: #000000;\">8<\/span><\/td>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<td><span style=\"color: #000000;\">12<\/span><\/td>\n<td><span style=\"color: #000000;\">15<\/span><\/td>\n<td><span style=\"color: #000000;\">18<\/span><\/td>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">12<\/span><\/td>\n<td><span style=\"color: #000000;\">14<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">9<\/span><\/td>\n<td><span style=\"color: #000000;\">6<\/span><\/td>\n<td><span style=\"color: #000000;\">15<\/span><\/td>\n<td><span style=\"color: #000000;\">15<\/span><\/td>\n<td><span style=\"color: #000000;\">7<\/span><\/td>\n<td><span style=\"color: #000000;\">6<\/span><\/td>\n<td><span style=\"color: #000000;\">12<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Construct a grouped frequency distribution table with class size 5 for the data given above, taking the first interval as 0-5 (5 not included). What main features do you observe from this tabular representation?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Answer &#8211; <\/strong>Since the given data is very large, we construct a grouped frequency distribution table of class size 5.<br \/>\n<b>\u2234<\/b>, class intervals will be 0-5, 5-10, 10-15, 15-20 and so on. The data is represented in the grouped frequency distribution table as<br \/>\n<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"200\"><span style=\"color: #000000;\"><strong>Distance (in km)<\/strong><\/span><\/td>\n<td width=\"145\">\n<p style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>Tally Marks\u00a0<\/strong><\/span><\/p>\n<\/td>\n<td width=\"204\">\n<p style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>No of Engineers<br \/>\n<\/strong><strong>(Frequency)<\/strong><\/span><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"200\"><span style=\"color: #000000;\">0-5<\/span><\/td>\n<td width=\"145\"><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-501\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-9.png\" alt=\"\" width=\"23\" height=\"16\" \/><\/span><\/td>\n<td width=\"204\"><span style=\"color: #000000;\">5<\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"200\"><span style=\"color: #000000;\">5-10<\/span><\/td>\n<td width=\"145\"><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-501\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-9.png\" alt=\"\" width=\"23\" height=\"16\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-501\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-9.png\" alt=\"\" width=\"23\" height=\"16\" \/> |<\/span><\/td>\n<td width=\"204\"><span style=\"color: #000000;\">11<\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"200\"><span style=\"color: #000000;\">10-15<\/span><\/td>\n<td width=\"145\"><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-501\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-9.png\" alt=\"\" width=\"23\" height=\"16\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-501\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-9.png\" alt=\"\" width=\"23\" height=\"16\" \/> |\u00a0<\/span><\/td>\n<td width=\"204\"><span style=\"color: #000000;\">11<\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"200\"><span style=\"color: #000000;\">15-20<\/span><\/td>\n<td width=\"145\"><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-501\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-9.png\" alt=\"\" width=\"23\" height=\"16\" \/> ||||<\/span><\/td>\n<td width=\"204\"><span style=\"color: #000000;\">9<\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"200\"><span style=\"color: #000000;\">20-25<\/span><\/td>\n<td width=\"145\"><span style=\"color: #000000;\">|<\/span><\/td>\n<td width=\"204\"><span style=\"color: #000000;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"200\"><span style=\"color: #000000;\">25-30<\/span><\/td>\n<td width=\"145\"><span style=\"color: #000000;\">|<\/span><\/td>\n<td width=\"204\"><span style=\"color: #000000;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"200\"><span style=\"color: #000000;\">30-35<\/span><\/td>\n<td width=\"145\"><span style=\"color: #000000;\">||<\/span><\/td>\n<td width=\"204\"><span style=\"color: #000000;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"200\"><span style=\"color: #000000;\"><strong>Total<\/strong><\/span><\/td>\n<td width=\"145\"><\/td>\n<td width=\"204\"><span style=\"color: #000000;\"><strong>40<\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: #000000;\">The following features can be observed from the above table.<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">5 Engineers have their houses below 5 km.<\/span><\/li>\n<li><span style=\"color: #000000;\">A majority of engineers (31) have their houses below 20 km<\/span><\/li>\n<li><span style=\"color: #000000;\">Only a few engineers (4) have their houses at 20 km and above distance.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. The relative humidity (in %) of a certain city for a month of 30 days was as follows:<br \/>\n<\/strong><\/span><\/p>\n<table class=\"table table-bordered\" style=\"width: 50%;\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\">98.1<\/span><\/td>\n<td><span style=\"color: #000000;\">98.6<\/span><\/td>\n<td><span style=\"color: #000000;\">99.2<\/span><\/td>\n<td><span style=\"color: #000000;\">90.3<\/span><\/td>\n<td><span style=\"color: #000000;\">86.5<\/span><\/td>\n<td><span style=\"color: #000000;\">95.3<\/span><\/td>\n<td><span style=\"color: #000000;\">92.9<\/span><\/td>\n<td><span style=\"color: #000000;\">96.3<\/span><\/td>\n<td><span style=\"color: #000000;\">94.2<\/span><\/td>\n<td><span style=\"color: #000000;\">95.1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">89.2<\/span><\/td>\n<td><span style=\"color: #000000;\">92.3<\/span><\/td>\n<td><span style=\"color: #000000;\">97.1<\/span><\/td>\n<td><span style=\"color: #000000;\">93.5<\/span><\/td>\n<td><span style=\"color: #000000;\">92.7<\/span><\/td>\n<td><span style=\"color: #000000;\">95.1<\/span><\/td>\n<td><span style=\"color: #000000;\">97.2<\/span><\/td>\n<td><span style=\"color: #000000;\">93.3<\/span><\/td>\n<td><span style=\"color: #000000;\">95.2<\/span><\/td>\n<td><span style=\"color: #000000;\">97.3<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">96.2<\/span><\/td>\n<td><span style=\"color: #000000;\">92.1<\/span><\/td>\n<td><span style=\"color: #000000;\">84.9<\/span><\/td>\n<td><span style=\"color: #000000;\">90.2<\/span><\/td>\n<td><span style=\"color: #000000;\">95.7<\/span><\/td>\n<td><span style=\"color: #000000;\">98.3<\/span><\/td>\n<td><span style=\"color: #000000;\">97.3<\/span><\/td>\n<td><span style=\"color: #000000;\">96.1<\/span><\/td>\n<td><span style=\"color: #000000;\">92.1<\/span><\/td>\n<td><span style=\"color: #000000;\">89<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) Construct a grouped frequency distribution table with classes 84 \u2013 86, 86 \u2013 88, etc.<br \/>\n<\/strong><strong>(ii) Which month or season do you think this data is about?<br \/>\n<\/strong><strong>(iii) What is the range of this data?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Answer &#8211; <\/strong>By drawing a\u00a0frequency distribution table, we can observe data.<br \/>\n<strong>(i)<\/strong> Let construct a grouped frequency distribution table with a class size of 2.<br \/>\nThe relation humidity (in %) of a certain city for a month can be represented as follows:<\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><strong><span style=\"color: #000000;\">Relative humidity (in %)<\/span><\/strong><\/td>\n<td><strong><span style=\"color: #000000;\">Frequency<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">84 &#8211; 86<\/span><\/td>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">86 &#8211; 88<\/span><\/td>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">88 &#8211; 90<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">90 &#8211; 92<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">92 &#8211; 94<\/span><\/td>\n<td><span style=\"color: #000000;\">7<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">94 &#8211; 96<\/span><\/td>\n<td><span style=\"color: #000000;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">96 &#8211; 98<\/span><\/td>\n<td><span style=\"color: #000000;\">7<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">98 &#8211; 100<\/span><\/td>\n<td><span style=\"color: #000000;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"color: #000000;\">Total<\/span><\/strong><\/td>\n<td><span style=\"color: #000000;\">30<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) <\/strong>The following features can be observed from the above table:<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">The relative humidity was 92% and above, over a period of 24 days (four-fifth\u00a0of a month)<\/span><\/li>\n<li><span style=\"color: #000000;\">Since the relative humidity % is very high, it must be\u00a0data\u00a0from a month of the rainy season or monsoon such as July or August.<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>(iii)<\/strong> Range of data = maximum value \u2013 minimum value<\/span><br \/>\n<span style=\"color: #000000;\">= 99.2 \u2013 84.9<\/span><br \/>\n<span style=\"color: #000000;\">= 14.3<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4<\/strong>.\u00a0<strong>The heights of 50 students, measured to the nearest centimetres, have been found to be as follows:<br \/>\n<\/strong><\/span><\/p>\n<table style=\"width: 50%;\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\">161<\/span><\/td>\n<td><span style=\"color: #000000;\">150<\/span><\/td>\n<td><span style=\"color: #000000;\">154<\/span><\/td>\n<td><span style=\"color: #000000;\">165<\/span><\/td>\n<td><span style=\"color: #000000;\">168<\/span><\/td>\n<td><span style=\"color: #000000;\">161<\/span><\/td>\n<td><span style=\"color: #000000;\">154<\/span><\/td>\n<td><span style=\"color: #000000;\">162<\/span><\/td>\n<td><span style=\"color: #000000;\">150<\/span><\/td>\n<td><span style=\"color: #000000;\">151<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">162<\/span><\/td>\n<td><span style=\"color: #000000;\">164<\/span><\/td>\n<td><span style=\"color: #000000;\">171<\/span><\/td>\n<td><span style=\"color: #000000;\">165<\/span><\/td>\n<td><span style=\"color: #000000;\">158<\/span><\/td>\n<td><span style=\"color: #000000;\">154<\/span><\/td>\n<td><span style=\"color: #000000;\">156<\/span><\/td>\n<td><span style=\"color: #000000;\">172<\/span><\/td>\n<td><span style=\"color: #000000;\">160<\/span><\/td>\n<td><span style=\"color: #000000;\">170<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">153<\/span><\/td>\n<td><span style=\"color: #000000;\">159<\/span><\/td>\n<td><span style=\"color: #000000;\">161<\/span><\/td>\n<td><span style=\"color: #000000;\">170<\/span><\/td>\n<td><span style=\"color: #000000;\">162<\/span><\/td>\n<td><span style=\"color: #000000;\">165<\/span><\/td>\n<td><span style=\"color: #000000;\">166<\/span><\/td>\n<td><span style=\"color: #000000;\">168<\/span><\/td>\n<td><span style=\"color: #000000;\">165<\/span><\/td>\n<td><span style=\"color: #000000;\">164<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">154<\/span><\/td>\n<td><span style=\"color: #000000;\">152<\/span><\/td>\n<td><span style=\"color: #000000;\">153<\/span><\/td>\n<td><span style=\"color: #000000;\">156<\/span><\/td>\n<td><span style=\"color: #000000;\">158<\/span><\/td>\n<td><span style=\"color: #000000;\">162<\/span><\/td>\n<td><span style=\"color: #000000;\">160<\/span><\/td>\n<td><span style=\"color: #000000;\">161<\/span><\/td>\n<td><span style=\"color: #000000;\">173<\/span><\/td>\n<td><span style=\"color: #000000;\">166<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">161<\/span><\/td>\n<td><span style=\"color: #000000;\">159<\/span><\/td>\n<td><span style=\"color: #000000;\">162<\/span><\/td>\n<td><span style=\"color: #000000;\">167<\/span><\/td>\n<td><span style=\"color: #000000;\">168<\/span><\/td>\n<td><span style=\"color: #000000;\">159<\/span><\/td>\n<td><span style=\"color: #000000;\">158<\/span><\/td>\n<td><span style=\"color: #000000;\">153<\/span><\/td>\n<td><span style=\"color: #000000;\">154<\/span><\/td>\n<td><span style=\"color: #000000;\">159<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 \u2013 165, 165 \u2013 170, etc.<br \/>\n<\/strong><strong>(ii) What can you conclude about their heights from the table?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Answer &#8211;<br \/>\n<\/strong><strong>(i)<\/strong> The data given in the question can be represented by a grouped frequency distribution table, taking the class intervals as 160 \u2013 165, 165 \u2013 170, etc., as<\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><strong><span style=\"color: #000000;\">Height (in cm)<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"><strong><span style=\"color: #000000;\">No. of Students<br \/>\n(Frequency)<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">150 &#8211; 155<\/span><\/td>\n<td><span style=\"color: #000000;\">12<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">155 &#8211; 160<\/span><\/td>\n<td><span style=\"color: #000000;\">9<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">160 &#8211; 165<\/span><\/td>\n<td><span style=\"color: #000000;\">14<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">165 &#8211; 170<\/span><\/td>\n<td><span style=\"color: #000000;\">10<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">170 &#8211; 175<\/span><\/td>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"color: #000000;\">Total<\/span><\/strong><\/td>\n<td><span style=\"color: #000000;\">50<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) <\/strong>The following conclusions can be drawn from the table:<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">70% of the students (35 students) are below 165 cm.<\/span><\/li>\n<li><span style=\"color: #000000;\">Only 10% of the students (5 students) are of\u00a0height of 170 cm or more.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows:<br \/>\n<\/strong><\/span><\/p>\n<table style=\"width: 50%;\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\">0.03<\/span><\/td>\n<td><span style=\"color: #000000;\">0.08<\/span><\/td>\n<td><span style=\"color: #000000;\">0.08<\/span><\/td>\n<td><span style=\"color: #000000;\">0.09<\/span><\/td>\n<td><span style=\"color: #000000;\">0.04<\/span><\/td>\n<td><span style=\"color: #000000;\">0.17<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0.16<\/span><\/td>\n<td><span style=\"color: #000000;\">0.05<\/span><\/td>\n<td><span style=\"color: #000000;\">0.02<\/span><\/td>\n<td><span style=\"color: #000000;\">0.06<\/span><\/td>\n<td><span style=\"color: #000000;\">0.18<\/span><\/td>\n<td><span style=\"color: #000000;\">0.20<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0.11<\/span><\/td>\n<td><span style=\"color: #000000;\">0.08<\/span><\/td>\n<td><span style=\"color: #000000;\">0.12<\/span><\/td>\n<td><span style=\"color: #000000;\">0.13<\/span><\/td>\n<td><span style=\"color: #000000;\">0.22<\/span><\/td>\n<td><span style=\"color: #000000;\">0.07<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0.08<\/span><\/td>\n<td><span style=\"color: #000000;\">0.01<\/span><\/td>\n<td><span style=\"color: #000000;\">0.10<\/span><\/td>\n<td><span style=\"color: #000000;\">0.06<\/span><\/td>\n<td><span style=\"color: #000000;\">0.09<\/span><\/td>\n<td><span style=\"color: #000000;\">0.18<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0.11<\/span><\/td>\n<td><span style=\"color: #000000;\">0.07<\/span><\/td>\n<td><span style=\"color: #000000;\">0.05<\/span><\/td>\n<td><span style=\"color: #000000;\">0.07<\/span><\/td>\n<td><span style=\"color: #000000;\">0.01<\/span><\/td>\n<td><span style=\"color: #000000;\">0.04<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) Make a grouped frequency distribution table for this data with class intervals as 0.00 \u2013 0.04, 0.04 \u2013 0.08, and so on.<br \/>\n<\/strong><strong>(ii)<\/strong>\u00a0<strong>For how many days was the concentration of Sulphur dioxide more than 0.11 parts per million?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Answer &#8211;<br \/>\n<\/strong>(i) A grouped\u00a0frequency distribution table\u00a0with a class size of \u20180.04\u2019 needs to be constructed for the given data.<\/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;\"><strong><span style=\"color: #000000;\">Concentration of sulphur dioxide in the air<br \/>\n(in ppm)<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"><strong><span style=\"color: #000000;\">Frequency<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0.00 \u2212 0.04<\/span><\/td>\n<td><span style=\"color: #000000;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0.04 \u2212 0.08<\/span><\/td>\n<td><span style=\"color: #000000;\">9<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0.08 \u2212 0.12<\/span><\/td>\n<td><span style=\"color: #000000;\">9<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0.12 \u2212 0.16<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0.16 \u2212 0.20<\/span><\/td>\n<td><span style=\"color: #000000;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0.20 \u2212 0.24<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"color: #000000;\">Total<\/span><\/strong><\/td>\n<td><span style=\"color: #000000;\">30<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)<\/strong> The number of days in which the concentration of sulphur dioxide was more than 0.11 parts per million = 2 + 4 +\u00a0 2 = 8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6. Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows:<br \/>\n<\/strong><\/span><\/p>\n<table style=\"width: 50%;\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\">0<\/span><\/td>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<td><span style=\"color: #000000;\">0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">0<\/span><\/td>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<td><span style=\"color: #000000;\">0<\/span><\/td>\n<td><span style=\"color: #000000;\">0<\/span><\/td>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Prepare a frequency distribution table for the data given above.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Answer &#8211; <\/strong>The frequency distribution table for the data given in the question is given below.<\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><strong><span style=\"color: #000000;\">Number of Heads<\/span><\/strong><\/td>\n<td><strong><span style=\"color: #000000;\">Frequency<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0<\/span><\/td>\n<td><span style=\"color: #000000;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">10<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">9<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"color: #000000;\">Total<\/span><\/strong><\/td>\n<td><span style=\"color: #000000;\">30<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>7. The value of \u03c0 up to 50 decimal places is given below:<br \/>\n<\/strong><strong>3.14159265358979323846264338327950288419716939937510<br \/>\n<\/strong><strong>(i) Make a frequency distribution of the digits from 0 to 9 after the decimal point.<br \/>\n<\/strong><strong>(ii)<\/strong>\u00a0<strong>What are the most and the least frequently occurring digits?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Answer &#8211; <\/strong><br \/>\n<strong>(i)<\/strong> The frequency distribution of the digits from 0 to 9 after the decimal point is given in the table below.<\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><strong><span style=\"color: #000000;\">Digits<\/span><\/strong><\/td>\n<td><strong><span style=\"color: #000000;\">Frequency<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<td><span style=\"color: #000000;\">8<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">4<\/span><\/td>\n<td><span style=\"color: #000000;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">6<\/span><\/td>\n<td><span style=\"color: #000000;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">7<\/span><\/td>\n<td><span style=\"color: #000000;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">8<\/span><\/td>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">9<\/span><\/td>\n<td><span style=\"color: #000000;\">8<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"color: #000000;\">Total<\/span><\/strong><\/td>\n<td><span style=\"color: #000000;\">50<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)\u00a0<\/strong>It can be easily observed from the table that<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">The most frequently occurring digits are 3 and 9, with a max frequency of 8.<\/span><\/li>\n<li><span style=\"color: #000000;\">The least frequently occurring digit is \u20180\u2019 with the lowest frequency of 2.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>8. Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:<br \/>\n<\/strong><\/span><\/p>\n<table style=\"width: 50%;\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">6<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<td><span style=\"color: #000000;\">12<\/span><\/td>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<td><span style=\"color: #000000;\">8<\/span><\/td>\n<td><span style=\"color: #000000;\">4<\/span><\/td>\n<td><span style=\"color: #000000;\">8<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">10<\/span><\/td>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<td><span style=\"color: #000000;\">4<\/span><\/td>\n<td><span style=\"color: #000000;\">12<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">8<\/span><\/td>\n<td><span style=\"color: #000000;\">15<\/span><\/td>\n<td><span style=\"color: #000000;\">1<\/span><\/td>\n<td><span style=\"color: #000000;\">17<\/span><\/td>\n<td><span style=\"color: #000000;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<td><span style=\"color: #000000;\">8<\/span><\/td>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<td><span style=\"color: #000000;\">9<\/span><\/td>\n<td><span style=\"color: #000000;\">6<\/span><\/td>\n<td><span style=\"color: #000000;\">8<\/span><\/td>\n<td><span style=\"color: #000000;\">7<\/span><\/td>\n<td><span style=\"color: #000000;\">14<\/span><\/td>\n<td><span style=\"color: #000000;\">12<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals 5 &#8211; 10.<br \/>\n<\/strong><strong>(ii)<\/strong>\u00a0<strong>How many children watch television for 15 or more hours a week?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Answer &#8211;<br \/>\n<\/strong><strong>(i)<\/strong> The grouped frequency distribution table for the data given in the question, taking class width 5 and one of the class intervals 5-10, is given below.<\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><strong><span style=\"color: #000000;\">Number of Hours<\/span><\/strong><\/td>\n<td><strong><span style=\"color: #000000;\">Frequency<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">0 &#8211; 5<\/span><\/td>\n<td><span style=\"color: #000000;\">10<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">5 &#8211; 10<\/span><\/td>\n<td><span style=\"color: #000000;\">13<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">10 &#8211; 15<\/span><\/td>\n<td><span style=\"color: #000000;\">5<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">15 &#8211; 20<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"color: #000000;\">Total<\/span><\/strong><\/td>\n<td><span style=\"color: #000000;\">30<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)<\/strong> We can observe from the table that the number of children who watched television for 15 or more hours a week is 2 (which falls under the class interval \u201815-20\u2019).<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>9. A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:<br \/>\n<\/strong><\/span><\/p>\n<table style=\"width: 50%;\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\">2.6<\/span><\/td>\n<td><span style=\"color: #000000;\">3.0<\/span><\/td>\n<td><span style=\"color: #000000;\">3.7<\/span><\/td>\n<td><span style=\"color: #000000;\">3.2<\/span><\/td>\n<td><span style=\"color: #000000;\">2.2<\/span><\/td>\n<td><span style=\"color: #000000;\">4.1<\/span><\/td>\n<td><span style=\"color: #000000;\">3.5<\/span><\/td>\n<td><span style=\"color: #000000;\">4.5<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">3.5<\/span><\/td>\n<td><span style=\"color: #000000;\">2.3<\/span><\/td>\n<td><span style=\"color: #000000;\">3.2<\/span><\/td>\n<td><span style=\"color: #000000;\">3.4<\/span><\/td>\n<td><span style=\"color: #000000;\">3.8<\/span><\/td>\n<td><span style=\"color: #000000;\">3.2<\/span><\/td>\n<td><span style=\"color: #000000;\">4.6<\/span><\/td>\n<td><span style=\"color: #000000;\">3.7<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">2.5<\/span><\/td>\n<td><span style=\"color: #000000;\">4.4<\/span><\/td>\n<td><span style=\"color: #000000;\">3.4<\/span><\/td>\n<td><span style=\"color: #000000;\">3.3<\/span><\/td>\n<td><span style=\"color: #000000;\">2.9<\/span><\/td>\n<td><span style=\"color: #000000;\">3.0<\/span><\/td>\n<td><span style=\"color: #000000;\">4.3<\/span><\/td>\n<td><span style=\"color: #000000;\">2.8<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">3.5<\/span><\/td>\n<td><span style=\"color: #000000;\">3.2<\/span><\/td>\n<td><span style=\"color: #000000;\">3.9<\/span><\/td>\n<td><span style=\"color: #000000;\">3.2<\/span><\/td>\n<td><span style=\"color: #000000;\">3.2<\/span><\/td>\n<td><span style=\"color: #000000;\">3.1<\/span><\/td>\n<td><span style=\"color: #000000;\">3.7<\/span><\/td>\n<td><span style=\"color: #000000;\">3.4<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">4.6<\/span><\/td>\n<td><span style=\"color: #000000;\">3.8<\/span><\/td>\n<td><span style=\"color: #000000;\">3.2<\/span><\/td>\n<td><span style=\"color: #000000;\">2.6<\/span><\/td>\n<td><span style=\"color: #000000;\">3.5<\/span><\/td>\n<td><span style=\"color: #000000;\">4.2<\/span><\/td>\n<td><span style=\"color: #000000;\">2.9<\/span><\/td>\n<td><span style=\"color: #000000;\">3.6<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from interval 2 \u2013 2.5.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Answer &#8211; <\/strong>The grouped frequency distribution table for the data given in the table, using class intervals of size 0.5 starting from interval 2 \u2013 2.5, is given below.<\/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;\"><strong><span style=\"color: #000000;\">Lives of batteries<br \/>\n(in years)<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"><strong><span style=\"color: #000000;\">No. of batteries<br \/>\n(Frequency)<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">2 &#8211; 2.5<\/span><\/td>\n<td><span style=\"color: #000000;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">2.5 &#8211; 3<\/span><\/td>\n<td><span style=\"color: #000000;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">3 &#8211; 3.5<\/span><\/td>\n<td><span style=\"color: #000000;\">14<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">3.5 &#8211; 4<\/span><\/td>\n<td><span style=\"color: #000000;\">11<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">4 &#8211; 4.5<\/span><\/td>\n<td><span style=\"color: #000000;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">4.5 &#8211; 5<\/span><\/td>\n<td><span style=\"color: #000000;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"color: #000000;\">Total<\/span><\/strong><\/td>\n<td><span style=\"color: #000000;\">40<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\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 14.2 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 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