{"id":1846,"date":"2022-11-02T15:39:14","date_gmt":"2022-11-02T15:39:14","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=1846"},"modified":"2022-11-02T15:39:14","modified_gmt":"2022-11-02T15:39:14","slug":"ncert-solutions-class-7-maths-chapter-3-data-handling-ex-3-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-3-data-handling-ex-3-1\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 3 Data Handling Ex 3.1"},"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 3.1 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-3-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 7 Maths Exercise &#8211; 3.2<\/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; 3.1\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>1. Find the range of heights of any ten students of your class.<\/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;\">Let us assume heights (in cm) of 10 students of our class.<br \/>\n<\/span><span style=\"color: #000000;\">= 130, 132, 135, 137, 139, 140, 142, 143, 145, 148<br \/>\nHere, minimum height = 130 cm<\/span><span style=\"color: #000000;\"><br \/>\nMaximum height = 148 cm<br \/>\n<\/span><span style=\"color: #000000;\">Then,<br \/>\n<\/span><span style=\"color: #000000;\">Range of Heights = Highest value \u2013 Lowest value<br \/>\n<\/span><span style=\"color: #000000;\">= 148 \u2013 130<br \/>\n<\/span><span style=\"color: #000000;\">= 18 cm<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>2. Organise the following marks in a class assessment, in a tabular form.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(i) Which number is the highest?<br \/>\n(ii) Which number is the lowest?<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(iii) What is the range of the data?<br \/>\n(iv) Find the arithmetic mean.<\/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;\">First, we have to arrange the given marks in ascending order.<br \/>\n<\/span><span style=\"color: #000000;\">= 1, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9<br \/>\n<\/span><span style=\"color: #000000;\">Now, we will draw the frequency table of the given data.<br \/>\n<\/span><\/span><\/p>\n<table class=\"table table-bordered\" style=\"width: 59.5399%; height: 267px;\" border=\"1\">\n<tbody>\n<tr style=\"height: 51px;\">\n<td style=\"width: 15.1244%; text-align: center; height: 51px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Marks <\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(x<em><sub>i<\/sub><\/em>)<\/strong><\/span><\/td>\n<td style=\"width: 29.7143%; text-align: center; height: 51px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Tally Marks<\/strong><\/span><\/td>\n<td style=\"width: 23.4735%; text-align: center; height: 51px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Frequency<\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f<em><sub>i<\/sub><\/em>)<\/strong><\/span><\/td>\n<td style=\"width: 15.6586%; text-align: center; height: 51px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>f<em><sub>i<\/sub><\/em>x<em><sub>i<\/sub><\/em><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 15.1244%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<td style=\"width: 29.7143%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">|<\/span><\/td>\n<td style=\"width: 23.4735%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<td style=\"width: 15.6586%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 15.1244%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2<\/span><\/td>\n<td style=\"width: 29.7143%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">||<\/span><\/td>\n<td style=\"width: 23.4735%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2<\/span><\/td>\n<td style=\"width: 15.6586%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">4<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 15.1244%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3<\/span><\/td>\n<td style=\"width: 29.7143%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">|<\/span><\/td>\n<td style=\"width: 23.4735%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<td style=\"width: 15.6586%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 15.1244%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">4<\/span><\/td>\n<td style=\"width: 29.7143%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">|||<\/span><\/td>\n<td style=\"width: 23.4735%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3<\/span><\/td>\n<td style=\"width: 15.6586%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">12<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 15.1244%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5<\/span><\/td>\n<td style=\"width: 29.7143%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><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=\"28\" height=\"20\" \/><\/span><\/td>\n<td style=\"width: 23.4735%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5<\/span><\/td>\n<td style=\"width: 15.6586%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">25<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 15.1244%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">6<\/span><\/td>\n<td style=\"width: 29.7143%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">||||<\/span><\/td>\n<td style=\"width: 23.4735%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">4<\/span><\/td>\n<td style=\"width: 15.6586%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">24<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 15.1244%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">7<\/span><\/td>\n<td style=\"width: 29.7143%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">||<\/span><\/td>\n<td style=\"width: 23.4735%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2<\/span><\/td>\n<td style=\"width: 15.6586%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">14<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 15.1244%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">8<\/span><\/td>\n<td style=\"width: 29.7143%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">|<\/span><\/td>\n<td style=\"width: 23.4735%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<td style=\"width: 15.6586%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">8<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 15.1244%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">9<\/span><\/td>\n<td style=\"width: 29.7143%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">|<\/span><\/td>\n<td style=\"width: 23.4735%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<td style=\"width: 15.6586%; text-align: center; height: 24px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">9<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 15.1244%; text-align: center;\"><\/td>\n<td style=\"width: 29.7143%; text-align: center;\"><\/td>\n<td style=\"width: 23.4735%; text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">20<\/span><\/td>\n<td style=\"width: 15.6586%; text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">100<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(i) Which number is the highest?<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">highest marks = 9 <\/span><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(ii) Which number is the lowest?<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">lowest marks = 1<\/span><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(iii) What is the range of the data?<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">Range = Max. marks \u2013 Min. marks<br \/>\n= 9 &#8211; 1 = 8\u00a0<\/span><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(iv) Find the arithmetic mean.<br \/>\n<\/strong>Arithmetic mean = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{\\sum&amp;space;f_{i}x_{i}}{\\sum&amp;space;f_{i}}\" alt=\"\\frac{\\sum f_{i}x_{i}}{\\sum f_{i}}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100}{20}\" alt=\"\\frac{100}{20}\" align=\"absmiddle\" \/> = 5\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>3. Find the mean of the first five whole numbers.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>Solutions &#8211;<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">First 5 Whole numbers are 0, 1, 2, 3, and 4.<br \/>\n<\/span><span style=\"color: #000000;\">Mean = (Sum of first five whole numbers)\/ (Total number of whole numbers)<br \/>\n<\/span><span style=\"color: #000000;\">Sum of five whole numbers = 0 + 1 + 2 + 3 +4 <\/span><span style=\"color: #000000;\">= 10<br \/>\n<\/span><span style=\"color: #000000;\">Total Number of whole numbers = 5<br \/>\n<\/span><span style=\"color: #000000;\">\u2234 Mean = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{5}\" alt=\"\\frac{10}{5}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= 2<br \/>\n<\/span><span style=\"color: #000000;\">\u2234 Mean of first five whole numbers is 2.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>4. A cricketer scores the following runs in eight innings:<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>58, 76, 40, 35, 46, 45, 0, 100.<br \/>\nFind the mean score.<\/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;\">Mean score = (Total runs scored by the cricketer in all innings)\/ (Total number of innings <\/span><span style=\"color: #000000;\">Played by the cricketer)<br \/>\n<\/span><span style=\"color: #000000;\">Total runs scored by the cricketer in all innings = 58 + 76 + 40 + 35 + 46 + 45 + 0 + 100 <\/span><span style=\"color: #000000;\">= 400<br \/>\n<\/span><span style=\"color: #000000;\">Total number of innings = 8<br \/>\n<\/span><span style=\"color: #000000;\">\u2234\u00a0 Mean = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{400}{8}\" alt=\"\\frac{400}{8}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= 50<br \/>\n<\/span><span style=\"color: #000000;\">Mean score of the cricketer is 50.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>5. Following table shows the points of each player scored in four games:<\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\" style=\"width: 50%;\" border=\"1\">\n<tbody>\n<tr>\n<td><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Player<\/span><\/strong><\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Game <\/span>1<\/strong><\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Game <\/span>2<\/strong><\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Game <\/span>3<\/strong><\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Game <\/span>4<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">A<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">14<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">16<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">10<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">10<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">B<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">0<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">8<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">6<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">C<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">8<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">11<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Did not Play<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">13<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>Now answer the following questions:<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(i) Find the mean to determine A\u2019s average number of points scored per game.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(ii) To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why?<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(iii) B played in all the four games. How would you find the mean?<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(iv) Who is the best performer?<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(i)<\/strong> A\u2019s average number of points scored per game = Total points scored by A in 4 games\/ <\/span><span style=\"color: #000000;\">Total number of games<br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(14&amp;space;+&amp;space;16&amp;space;+&amp;space;10&amp;space;+&amp;space;10)}{4}\" alt=\"\\frac{(14 + 16 + 10 + 10)}{4}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{50}{4}\" alt=\"\\frac{50}{4}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= 12.5 points<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(ii)<\/strong> Since, C did not play Game 3, he played only 3 games. So, the total will be divided by 3.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(iii)<\/strong> Number of points scored by B in all the games are Game 1 = 0, Game 2 = 8, Game 3 = 6, Game 4 = 4<br \/>\n<\/span><span style=\"color: #000000;\">Mean of B\u2019s score = Total points scored by B in 4 games \/ Total number of games<br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(0&amp;space;+&amp;space;8&amp;space;+&amp;space;6&amp;space;+&amp;space;4)}{4}\" alt=\"\\frac{(0 + 8 + 6 + 4)}{4}\" align=\"absmiddle\" \/> \u00a0<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{18}{4}\" alt=\"\\frac{18}{4}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= 4.5 points<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(vi)<\/strong> Now, we have to find the best performer among 3 players.<br \/>\n<\/span><span style=\"color: #000000;\">So, we have to find the average points of C = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(8&amp;space;+&amp;space;11&amp;space;+&amp;space;13)}{3}\" alt=\"\\frac{(8 + 11 + 13)}{3}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{32}{3}\" alt=\"\\frac{32}{3}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= 10.67 points<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">By observing,<br \/>\nthe average points scored A is 12.5 which is more than B and C.<br \/>\n<\/span><span style=\"color: #000000;\">Clearly, we can say that A is the best performer among three.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>6. The marks (out of 100) obtained by a group of students in a science test are 85, 76, <\/strong><\/span><span style=\"color: #000000;\"><strong>90, 85, 39, 48, 56, 95, 81 and 75. Find the:<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(i) Highest and the lowest marks obtained by the students.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(ii) Range of the marks obtained.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(iii) Mean marks obtained by the group.<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>Marks obtained are:<br \/>\n85, 76, 90, 85, 39, 48, 56, 95, 81 and 75<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(i)<\/strong> Highest marks = 95<br \/>\nLowest marks = 39<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(ii)<\/strong> Range of the marks = Highest marks \u2013 Lowest marks<br \/>\n= 95 \u2013 39 = 56<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(iii) Mean marks = <\/span><\/strong><span style=\"color: #000000;\">(Sum of all marks obtained by the group of students)\/ <\/span><span style=\"color: #000000;\">(Total number of marks)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(39&amp;space;+&amp;space;48&amp;space;+&amp;space;56&amp;space;+&amp;space;75&amp;space;+&amp;space;76&amp;space;+&amp;space;81&amp;space;+&amp;space;85&amp;space;+&amp;space;85&amp;space;+&amp;space;90&amp;space;+&amp;space;95)}{10}\" alt=\"\\frac{(39 + 48 + 56 + 75 + 76 + 81 + 85 + 85 + 90 + 95)}{10}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{730}{10}\" alt=\"\\frac{730}{10}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= 73<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>7. The enrolment in a school during six consecutive years was as follows:<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>1555, 1670, 1750, 2013, 2540, 2820.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>Find the mean enrolment of the school for this period.<\/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;\">Mean enrolment = (Sum of all observations) \/ (Number of observations)<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(1555&amp;space;+&amp;space;1670&amp;space;+&amp;space;1750&amp;space;+&amp;space;2013&amp;space;+&amp;space;2540&amp;space;+&amp;space;2820)}{6}\" alt=\"\\frac{(1555 + 1670 + 1750 + 2013 + 2540 + 2820)}{6}\" align=\"absmiddle\" \/>\u00a0<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12348}{6}\" alt=\"\\frac{12348}{6}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= 2058<br \/>\n<\/span><span style=\"color: #000000;\">\u2234 The mean enrolment of the school for this given period is 2058.<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>8. The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:<\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\" style=\"width: 64.0644%;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 27.3356%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Day<\/strong><\/span><\/td>\n<td style=\"width: 9.34255%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Mon<\/strong><\/span><\/td>\n<td style=\"width: 7.61242%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Tue<\/strong><\/span><\/td>\n<td style=\"width: 9.51561%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Wed<\/strong><\/span><\/td>\n<td style=\"width: 10.0346%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Thurs<\/strong><\/span><\/td>\n<td style=\"width: 7.61243%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Fri<\/strong><\/span><\/td>\n<td style=\"width: 8.47751%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Sat<\/strong><\/span><\/td>\n<td style=\"width: 8.13149%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Sun<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 27.3356%;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>Rainfall <\/strong><\/span><strong style=\"color: #000000; font-size: inherit;\">(in mm)<\/strong><\/span><\/td>\n<td style=\"width: 9.34255%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">0.0<\/span><\/td>\n<td style=\"width: 7.61242%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">12.2<\/span><\/td>\n<td style=\"width: 9.51561%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">2.1<\/span><\/td>\n<td style=\"width: 10.0346%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">0.0<\/span><\/td>\n<td style=\"width: 7.61243%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">20.5<\/span><\/td>\n<td style=\"width: 8.47751%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">5.5<\/span><\/td>\n<td style=\"width: 8.13149%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">1.0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(i) Find the range of rainfall in the above data.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(ii) Find the mean rainfall for the week.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(iii) On how many days was the rainfall less than the mean rainfall.<\/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;\"><strong>(i)<\/strong> Range of rainfall = Highest rainfall \u2013 Lowest rainfall<br \/>\n<\/span><span style=\"color: #000000;\">= 20.5 \u2013 0.0 <\/span><span style=\"color: #000000;\">= 20.5 mm<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(ii)<\/strong> Mean of rainfall = (Sum of all observations)\/ (Number of observation)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(0.0&amp;space;+&amp;space;12.2&amp;space;+&amp;space;2.1&amp;space;+&amp;space;0.0&amp;space;+&amp;space;20.5&amp;space;+&amp;space;5.5&amp;space;+&amp;space;1.0)}{7}\" alt=\"\\frac{(0.0 + 12.2 + 2.1 + 0.0 + 20.5 + 5.5 + 1.0)}{7}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{41.3}{7}\" alt=\"\\frac{41.3}{7}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= 5.9 mm<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(iii)<\/strong> Number of days on which the rainfall was less than the mean rainfall = Monday, Wednesday, Thursday, Saturday, Sunday = 5 days.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>9. The heights of 10 girls were measured in cm and the results are as follows:<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>135, 150, 139, 128, 151, 132, 146, 149, 143, 141.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(i) What is the height of the tallest girl?<br \/>\n(ii) What is the height of the shortest girl?<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(iii) What is the range of the data?<br \/>\n(iv) What is the mean height of the girls?<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(v) How many girls have heights more than the mean height.<\/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;\">First we have to arrange the given data in an ascending order<br \/>\n<\/span><span style=\"color: #000000;\">= 128, 132, 135, 139, 141, 143, 146, 149, 150, 151<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(i)<\/strong> The height of the tallest girl is 151 cm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(ii)<\/strong> The height of the shortest girl is 128 cm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(iii)<\/strong> Range of given data = Tallest height \u2013 Shortest height<br \/>\n<\/span><span style=\"color: #000000;\">= 151 \u2013 128 <\/span><span style=\"color: #000000;\">= 23 cm<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(iv)<\/strong> Mean height of the girls = Sum of height of all the girls\/ Number of girls<br \/>\n<\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(128&amp;space;+&amp;space;132&amp;space;+&amp;space;135&amp;space;+&amp;space;139&amp;space;+&amp;space;141&amp;space;+&amp;space;143&amp;space;+&amp;space;146&amp;space;+&amp;space;149&amp;space;+&amp;space;150&amp;space;+&amp;space;151)}{10}\" alt=\"\\frac{(128 + 132 + 135 + 139 + 141 + 143 + 146 + 149 + 150 + 151)}{10}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1414}{10}\" alt=\"\\frac{1414}{10}\" align=\"absmiddle\" \/> <\/span><span style=\"color: #000000;\">= 141.4 cm<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(v)<\/strong> Number of girls having more height than the mean height<br \/>\n= 150, 151, 146, 149 and 143<br \/>\n= 5 girls<\/span><\/p>\n<p>&nbsp;<\/p>\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 3.1 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; 3.2 [&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-1846","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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