{"id":1849,"date":"2022-11-02T15:39:19","date_gmt":"2022-11-02T15:39:19","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=1849"},"modified":"2022-11-02T15:39:19","modified_gmt":"2022-11-02T15:39:19","slug":"ncert-solutions-class-7-maths-chapter-3-data-handling-ex-3-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-3-data-handling-ex-3-2\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 3 Data Handling Ex 3.2"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 3 (Data Handling)<\/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 7 Mathematics <strong>Chapter &#8211; 3 Data Handling <\/strong>Exercise 3.2 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Chapter : 3 Data Handling<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-3-data-handling-ex-3-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 3.1<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-3-data-handling-ex-3-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 3.3<\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-3-data-handling-ex-3-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 3.4<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 3.2\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>1. The scores in mathematics test (out of 25) of 15 students is as follows:<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>Find the mode and median of this data. Are they same?<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">Let us arrange the given data in increasing order<br \/>\n<\/span><span style=\"color: #000000;\">5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25<br \/>\nSince 20 occurs 4 times (highest)<br \/>\n\u2234 Mode = 20<br \/>\nn = 15 (odd)<br \/>\n\u2234 <\/span><span style=\"color: #000000;\">Median = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(n+1)}{2}\" alt=\"\\frac{(n+1)}{2}\" align=\"absmiddle\" \/>th term = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{15+1}{2}\" alt=\"\\frac{15+1}{2}\" align=\"absmiddle\" \/> = 8<sup>th<\/sup>term<br \/>\nThen, value of 8<sup>th<\/sup> term = 20<br \/>\n<\/span><span style=\"color: #000000;\">Hence, the median is 20.<br \/>\n<\/span><span style=\"color: #000000;\">Yes, both Mode and median values are same.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>2. The runs scored in a cricket match by 11 players is as follows:<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>Find the mean, mode and median of this data. Are the three same? <\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">Arranging the given data in increasing order, we get<br \/>\n<\/span><span style=\"color: #000000;\">6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120<br \/>\n<\/span><span style=\"color: #000000;\">Mean of the given data = (Sum of all observations)\/ (Total number of observations)<br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(6&amp;space;+&amp;space;8&amp;space;+&amp;space;10&amp;space;+&amp;space;10&amp;space;+&amp;space;15&amp;space;+&amp;space;15&amp;space;+&amp;space;15&amp;space;+&amp;space;50&amp;space;+&amp;space;80&amp;space;+&amp;space;100&amp;space;+&amp;space;120)}{11}\" alt=\"\\frac{(6 + 8 + 10 + 10 + 15 + 15 + 15 + 50 + 80 + 100 + 120)}{11}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{429}{11}\" alt=\"\\frac{429}{11}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= 39<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\">Here, 15 occurs 3 times (Highest)<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\">\u2234 Mode = 15<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\">n = 11 (odd)<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">\u2234 <\/span><span style=\"color: #000000;\">Median = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(n+1)}{2}\" alt=\"\\frac{(n+1)}{2}\" align=\"absmiddle\" \/>th term\u00a0<\/span><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\">Median = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{11+1}{2}\" alt=\"\\frac{11+1}{2}\" align=\"absmiddle\" \/><span style=\"color: #000000;\">th term = 6<sup>th\u00a0<\/sup>term.<br \/>\nThen, value of 6<sup>th<\/sup> term = 15<br \/>\nHence, the median is 15.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Thus mean = 39, mode = 15 and median = 15<br \/>\nNo, they are not same.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>3. The weights (in kg.) of 15 students of a class are:<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(i) Find the mode and median of this data.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(ii) Is there more than one mode?<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">Arranging in increasing order, we get<br \/>\n<\/span><span style=\"color: #000000;\">32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(i) Mode and Median<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">Here, 38 and 43 occur 3 times (highest)<br \/>\nThus mode = 38 and 43<br \/>\n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">n = 15(odd)<br \/>\n<\/span><span style=\"color: #000000;\">\u2234 <\/span><span style=\"color: #000000;\">Median = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(n+1)}{2}\" alt=\"\\frac{(n+1)}{2}\" align=\"absmiddle\" \/>th term = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{15+1}{2}\" alt=\"\\frac{15+1}{2}\" align=\"absmiddle\" \/> = 8<sup>th <\/sup>term<br \/>\nThen, value of 8<sup>th<\/sup> term = 40<br \/>\n<\/span><span style=\"color: #000000;\">Hence, the median is 40.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii)<\/strong> Yes, there are 2 modes for the given weights of the students.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">Arranging the given data in increasing order, we get<br \/>\n<\/span><span style=\"color: #000000;\">= 12, 12, 13, 13, 14, 14, 14, 16, 19<br \/>\n<\/span><span style=\"color: #000000;\">Here, 14 occur 3 times (highest)<br \/>\nThus, mode = 14<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">n = 9 (odd)<br \/>\n<\/span><span style=\"color: #000000;\">\u2234 Median = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(n+1)}{2}\" alt=\"\\frac{(n+1)}{2}\" align=\"absmiddle\" \/> th term = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9+1}{2}\" alt=\"\\frac{9+1}{2}\" align=\"absmiddle\" \/> = 5<sup>th <\/sup>term<br \/>\n<\/span><span style=\"color: #000000;\">Then, value of 5<sup>th<\/sup> term = 14<br \/>\n<\/span><span style=\"color: #000000;\">Hence, the median is 14.<br \/>\nHence, mode = 14 and median = 14.<br \/>\n<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>5. Tell whether the statement is true or false:<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(i) The mode is always one of the number in a data.<br \/>\n(ii) The mean is one of the numbers in a data.<br \/>\n(iii) The median is always one of the numbers in a data.<br \/>\n(iv) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.<br \/>\n<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\">(i) The mode is always one of the number in a data. <strong>(True)<\/strong>\u00a0<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\">(ii) The mean is one of the numbers in a data. <strong>(False)<\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\">(iii) The median is always one of the numbers in a data. <strong>(True)<\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\">(iv) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9. <strong>(False)<\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">Mean = (Sum of all given observations)\/ (number of observations)<br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(6&amp;space;+&amp;space;4&amp;space;+&amp;space;3&amp;space;+&amp;space;8&amp;space;+&amp;space;9&amp;space;+&amp;space;12&amp;space;+&amp;space;13&amp;space;+&amp;space;9)}{8}\" alt=\"\\frac{(6 + 4 + 3 + 8 + 9 + 12 + 13 + 9)}{8}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{64}{8}\" alt=\"\\frac{64}{8}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= 8<br \/>\n<\/span><span style=\"color: #000000;\">Hence, the given statement is false.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\">\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Mathematics\u00a0 Chapter &#8211; 3 (Data Handling) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 3 Data Handling Exercise 3.2 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter : 3 Data Handling NCERT Solution Class 7 Maths Exercise &#8211; 3.1 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[219],"tags":[286,287,283,5],"class_list":["post-1849","post","type-post","status-publish","format-standard","hentry","category-class-7-maths","tag-ncert-class-7-maths-chapter-3-data-handling-in-english","tag-ncert-solutions-class-7-maths-chapter-3-in-english","tag-ncert-solutions-class-7-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.4) - 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