{"id":8578,"date":"2022-01-31T10:59:28","date_gmt":"2022-01-31T05:29:28","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=8578"},"modified":"2022-01-31T10:59:28","modified_gmt":"2022-01-31T05:29:28","slug":"ncert-solutions-for-class-7-maths-chapter-3-data-handling-ex-3-2","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-7\/maths\/ncert-solutions-for-class-7-maths-chapter-3-data-handling-ex-3-2\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2"},"content":{"rendered":"<h2>NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2<\/h2>\n<p><strong>NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Exercise 3.2<\/strong><br \/>\nEx 3.2 Class 7 Maths Question 1.<br \/>\nThe scores in mathematics test (out of 25) of 15 students is as follows:<br \/>\n19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20<br \/>\nFind the mode and median of this data. Are they same?<br \/>\nSolution:<br \/>\nGiven data:<br \/>\n19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20<br \/>\nLet us arrange the given data in increasing order<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-73390\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-3-Data-Handling-Ex-3.2-1.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 1\" width=\"369\" height=\"52\" \/><br \/>\nSince 20 occurs 4 times (highest)<br \/>\n\u2234 Mode = 20<br \/>\nn = 15 (odd)<br \/>\n\u2234 Median = \\(\\frac{n+1}{2} \\text { th term }=\\frac{15+1}{2}\\)<br \/>\n= 8th term = 20<br \/>\nThus, median = 20 and mode = 20<br \/>\n\u2234 Mode and median are same.<\/p>\n<p>Ex 3.2 Class 7 Maths Question 2.<br \/>\nThe runs scored in a cricket match by 11 players is as follows:<br \/>\n6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15<br \/>\nFind the mean, mode and median of this data. Are the three same?<br \/>\nSolution:<br \/>\nGiven data:<br \/>\n6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-73391\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-3-Data-Handling-Ex-3.2-2.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 2\" width=\"364\" height=\"174\" \/><br \/>\nArranging the given data in increasing order, we get<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-73392\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-3-Data-Handling-Ex-3.2-3.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 3\" width=\"308\" height=\"41\" \/><br \/>\nHere, 15 occurs 3 times (highest)<br \/>\n\u2234 Mode = 15<br \/>\nn = 11 (odd)<br \/>\n\u2234 Median = \\(\\left(\\frac{11+1}{2}\\right)^{t h}\\) term = 6th term = 15<br \/>\nThus mean = 39, mode = 15 and median = 15<br \/>\nNo, they are not same.<\/p>\n<p>Ex 3.2 Class 7 Maths Question 3.<br \/>\nThe weights (in kg) of 15 students of a class are:<br \/>\n38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47<br \/>\n(i) Find the mode and median of this data.<br \/>\n(ii) Is there more than one mode?<br \/>\nSolution:<br \/>\nGiven data: 38, 42, 35, 37,45, 50, 32,43, 43,40, 36, 38, 43, 38, 47<br \/>\nArranging in increasing order, we get<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-73393\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-3-Data-Handling-Ex-3.2-4.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 4\" width=\"373\" height=\"49\" \/><br \/>\n(i) Here, 38 and 42 occur 3 times (highest)<br \/>\nThus mode = 38 and 43<br \/>\nn = 15(odd)<br \/>\nMedian = \\(\\left(\\frac{n+1}{2}\\right)^{\\mathrm{th}} \\text { term }=\\left(\\frac{15+1}{2}\\right)^{\\mathrm{th}}\\) term<br \/>\n= 8th term = 40<br \/>\nThus mode 38 and 43 and median = 40<br \/>\n(ii) Yes, the given data has two modes i.e. 38 and 43.<\/p>\n<p>Ex 3.2 Class 7 Maths Question 4.<br \/>\nFind the mode and median of the data:<br \/>\n13, 16, 12, 14, 19, 12, 14, 13, 14<br \/>\nSolution:<br \/>\nArranging the given data in increasing order, we get<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-73394\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-3-Data-Handling-Ex-3.2-5.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 5\" width=\"240\" height=\"36\" \/><br \/>\nHere, 14 occur 3 times (highest)<br \/>\nThus, mode = 14<br \/>\nn = 9(odd)<br \/>\n\u2234 Median = \\(\\left(\\frac{n+1}{2}\\right)^{\\text { th }} \\text { term }=\\left(\\frac{9+1}{2}\\right)^{\\text { th }}\\) term<br \/>\n= 5th term = 14<br \/>\nHence, mode = 14 and median = 14.<\/p>\n<p>Ex 3.2 Class 7 Maths Question 5.<br \/>\nTell whether the statement is true or false.<br \/>\n(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 \/>\nSolution:<br \/>\n(i) True<br \/>\n(ii) False<br \/>\n(iii) True<br \/>\n(iv) False<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-107612\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-3-Data-Handling-Ex-3.2-Q1.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 Q1\" width=\"729\" height=\"613\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-107613\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-3-Data-Handling-Ex-3.2-Q2.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 Q2\" width=\"746\" height=\"662\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-107614\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-3-Data-Handling-Ex-3.2-Q3.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 Q3\" width=\"741\" height=\"641\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-107615\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-3-Data-Handling-Ex-3.2-Q4.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 Q4\" width=\"742\" height=\"460\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-107616\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/NCERT-Solutions-for-Class-7-Maths-Chapter-3-Data-Handling-Ex-3.2-Q5.png\" alt=\"NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 Q5\" width=\"749\" height=\"594\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 NCERT Solutions for Class 7 Maths Chapter 3 [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Get NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 on Infinity Learn.","custom_permalink":"study-material\/cbse-notes\/class-7\/maths\/ncert-solutions-for-class-7-maths-chapter-3-data-handling-ex-3-2\/"},"categories":[92,13,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 - 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