{"id":3097,"date":"2022-12-04T14:16:20","date_gmt":"2022-12-04T14:16:20","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=3097"},"modified":"2023-01-31T06:54:16","modified_gmt":"2023-01-31T06:54:16","slug":"ncert-solutions-class-8-maths-chapter-5-data-handling-ex-5-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-5-data-handling-ex-5-2\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 5 Data Handling Ex 5.2"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 8 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 5 (Data Handling)\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 8 Mathematics <strong>Chapter &#8211; 5 Data Handling <\/strong>Exercise 5.2 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h4><span style=\"color: #000000;\"><strong>Chapter 5: Data Handling<\/strong><\/span><\/h4>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-5-data-handling-ex-5-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 5.1<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-5-data-handling-ex-5-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 5.3<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 5.2\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. A survey was made to find the type of music that a certain group of young people liked in a city.<br \/>\n<\/strong>An adjoining pie chart shows the findings of this survey. From this pie chart, answer the following:<br \/>\n<strong>(i) <\/strong>If 20 people liked classical music, how many young people were surveyed?<strong><br \/>\n<\/strong><strong>(ii) <\/strong>Which type of music is liked by the maximum number of people?<strong><br \/>\n<\/strong><strong>(iii) <\/strong>If a cassette company were to make 1000 CDs, how many of each type would they make?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3114\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-1.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"339\" height=\"252\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-1.png 339w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-1-300x223.png 300w\" sizes=\"auto, (max-width: 339px) 100vw, 339px\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)<\/strong> 10% represents 100 people.<br \/>\n20% represents = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{100\\times&amp;space;20}{10}\" alt=\"\\frac{100\\times 20}{10}\" align=\"absmiddle\" \/> = 200<br \/>\nHence, 200 young people were surveyed.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)\u00a0<\/strong>From the pie chart, it can be easily observed that the light music represents the maximum part of the pie chart (i.e. 40%). <\/span><br \/>\n<span style=\"color: #000000;\">Hence, Light music is liked by the maximum number of people.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) <\/strong>Number of CD\u2019s of classical music = 10% of 1000 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10\\times&amp;space;1000}{100}\" alt=\"\\frac{10\\times 1000}{100}\" align=\"absmiddle\" \/> = 100<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Number of CD\u2019s of semi-classical music = 20% of 1000 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{20\\times&amp;space;1000}{100}\" alt=\"\\frac{20\\times 1000}{100}\" align=\"absmiddle\" \/>= 200<\/span><\/p>\n<p><span style=\"color: #000000;\">Number of CD\u2019s of light music = 40% of 1000 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{40\\times&amp;space;1000}{100}\" alt=\"\\frac{40\\times 1000}{100}\" align=\"absmiddle\" \/> = 400<\/span><\/p>\n<p><span style=\"color: #000000;\">Number of CD\u2019s of folk music = 30% of 1000 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{30\\times&amp;space;1000}{100}\" alt=\"\\frac{30\\times 1000}{100}\" align=\"absmiddle\" \/> = 300<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. A group of 360 people were asked to vote for their favourite season from the three <\/strong><strong>seasons rainy, winter and summer.<br \/>\n<\/strong><strong>(i) <\/strong>Which season got the most votes?<br \/>\n<strong>(ii) <\/strong>Find the central angle of each sector.<br \/>\n<strong>(iii) <\/strong>Draw a pie chart to show this information<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3116\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-2.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"347\" height=\"262\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-2.png 347w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-2-300x227.png 300w\" sizes=\"auto, (max-width: 347px) 100vw, 347px\" \/><br \/>\n<strong>Solution &#8211;<br \/>\n<\/strong><strong>(i)<\/strong> According to the table given in the question, the winter season got the most votes.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)<\/strong> Central angle of summer season = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{90\\times&amp;space;360}{360}\" alt=\"\\frac{90\\times 360}{360}\" align=\"absmiddle\" \/> = 90\u00b0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Central angle of rainy season = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{120\\times&amp;space;360}{360}\" alt=\"\\frac{120\\times 360}{360}\" align=\"absmiddle\" \/> = 120\u00b0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Central angle of winter season = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{150\\times&amp;space;360}{360}\" alt=\"\\frac{150\\times 360}{360}\" align=\"absmiddle\" \/> = 150\u00b0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii)<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3118\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Ans-2.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"274\" height=\"237\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Ans-2.png 394w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Ans-2-300x260.png 300w\" sizes=\"auto, (max-width: 274px) 100vw, 274px\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3117\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-3.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"901\" height=\"264\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-3.png 901w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-3-300x88.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-3-768x225.png 768w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-3-480x141.png 480w\" sizes=\"auto, (max-width: 901px) 100vw, 901px\" \/><br \/>\n<\/strong><strong>Solution &#8211; <\/strong>Here, central angle = 360\u00b0<br \/>\nTotal number of people = 36<\/span><\/p>\n<table style=\"width: 47.2074%; height: 120px;\">\n<tbody>\n<tr style=\"height: 24px;\">\n<td style=\"height: 24px;\"><span style=\"color: #000000;\"><strong>Colors<\/strong><\/span><\/td>\n<td style=\"height: 24px;\"><span style=\"color: #000000;\"><strong>No. of People<\/strong><\/span><\/td>\n<td style=\"height: 24px;\"><span style=\"color: #000000;\"><strong>Fraction\u00a0<\/strong><\/span><\/td>\n<td style=\"height: 24px;\"><span style=\"color: #000000;\"><strong>Central Angles<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"height: 24px;\"><span style=\"color: #000000;\">Blue<strong><br \/>\n<\/strong><\/span><\/td>\n<td style=\"height: 24px; text-align: center;\"><span style=\"color: #000000;\">18<\/span><\/td>\n<td style=\"height: 24px;\"><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{18}{36}=\\frac{1}{2}\" alt=\"\\frac{18}{36}=\\frac{1}{2}\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<td style=\"height: 24px;\"><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\\times&amp;space;360^{\\circ}&amp;space;=180^{\\circ}\" alt=\"\\frac{1}{2}\\times 360^{\\circ} =180^{\\circ}\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"height: 24px;\"><span style=\"color: #000000;\">Green<\/span><\/td>\n<td style=\"height: 24px; text-align: center;\"><span style=\"color: #000000;\">9<\/span><\/td>\n<td style=\"height: 24px;\"><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{36}=\\frac{1}{4}\" alt=\"\\frac{9}{36}=\\frac{1}{4}\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<td style=\"height: 24px;\"><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\\times&amp;space;360^{\\circ}&amp;space;=90^{\\circ}\" alt=\"\\frac{1}{4}\\times 360^{\\circ} =90^{\\circ}\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"height: 24px;\"><span style=\"color: #000000;\">Red<\/span><\/td>\n<td style=\"height: 24px; text-align: center;\"><span style=\"color: #000000;\">6<\/span><\/td>\n<td style=\"height: 24px;\"><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{36}=\\frac{1}{6}\" alt=\"\\frac{6}{36}=\\frac{1}{6}\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<td style=\"height: 24px;\"><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{6}\\times&amp;space;360^{\\circ}&amp;space;=60^{\\circ}\" alt=\"\\frac{1}{6}\\times 360^{\\circ} =60^{\\circ}\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"height: 24px;\"><span style=\"color: #000000;\">Yellow<\/span><\/td>\n<td style=\"height: 24px; text-align: center;\"><span style=\"color: #000000;\">3<\/span><\/td>\n<td style=\"height: 24px;\"><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{36}=\\frac{1}{12}\" alt=\"\\frac{3}{36}=\\frac{1}{12}\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<td style=\"height: 24px;\"><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{12}\\times&amp;space;360^{\\circ}&amp;space;=30^{\\circ}\" alt=\"\\frac{1}{12}\\times 360^{\\circ} =30^{\\circ}\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3119\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Ans-3.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"240\" height=\"247\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Ans-3.png 361w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Ans-3-291x300.png 291w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions.<br \/>\n<\/strong><strong>(i) <\/strong>In which subject did the student score 105 marks?<br \/>\n(Hint: for 540 marks, the central angle = 360\u00b0. So, for 105 marks, what is the central angle?)<br \/>\n<strong>(ii) <\/strong>How many more marks were obtained by the student in Mathematics than in Hindi?<br \/>\n<strong>(iii) <\/strong>Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi (Hint: Just study the central angles).<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3115\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-4.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"258\" height=\"274\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\"><strong>Subject<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong>Central Angle (\u00b0)<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong>Marks Obtained<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">Mathematics<strong><br \/>\n<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">90<strong>\u00b0<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{90}{360}\\times&amp;space;540&amp;space;=&amp;space;135\" alt=\"\\frac{90}{360}\\times 540 = 135\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">Social Science<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">65<strong>\u00b0<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{65}{360}\\times&amp;space;540&amp;space;=&amp;space;97.5\" alt=\"\\frac{65}{360}\\times 540 = 97.5\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">Science<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">80<strong>\u00b0<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{80}{360}\\times&amp;space;540&amp;space;=&amp;space;120\" alt=\"\\frac{80}{360}\\times 540 = 120\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">Hindi<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">70<strong>\u00b0<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{70}{360}\\times&amp;space;540&amp;space;=&amp;space;105\" alt=\"\\frac{70}{360}\\times 540 = 105\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">English<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">55<strong>\u00b0<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{55}{360}\\times&amp;space;540&amp;space;=&amp;space;82.5\" alt=\"\\frac{55}{360}\\times 540 = 82.5\" align=\"absmiddle\" \/><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)<\/strong> The student scored 105 marks in Hindi.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)<\/strong> Marks obtained in Mathematics = 135<br \/>\nMarks obtained in Hindi = 105<br \/>\nDifference = 135 \u2013 105 = 30<br \/>\nThus, 30 more marks were obtained by the student in Mathematics than in Hindi.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii)<\/strong> The sum of marks in Social Science and Mathematics = 97.5 + 135 = 232.5<br \/>\nThe sum of marks in Science and Hindi = 120 + 105 = 225<br \/>\n\u2234 the sum of the marks in Social Science and Mathematics is more than in Science and Hindi.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. The number of students in a hostel speaking different languages is given below. Display the data in a pie chart.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3120\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-5.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"657\" height=\"109\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-5.png 657w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-5-300x50.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Q-5-480x80.png 480w\" sizes=\"auto, (max-width: 657px) 100vw, 657px\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;\u00a0<\/strong>The central angle for each language can be calculated as below:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\"><strong>Language<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong>Number of Students<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong>Fraction\u00a0<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong>Central Angles<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">Hindi<strong><br \/>\n<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">40<\/span><\/td>\n<td><span style=\"color: #000000;\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{40}{72}=&amp;space;\\frac{5}{9}\" alt=\"\\frac{40}{72}= \\frac{5}{9}\" align=\"absmiddle\" \/><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{9}&amp;space;\\times&amp;space;360^{\\circ}&amp;space;=\" alt=\"\\frac{5}{9} \\times 360^{\\circ} =\" align=\"absmiddle\" \/> <\/strong>200\u00b0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">English<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">12<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{72}=&amp;space;\\frac{1}{6}\" alt=\"\\frac{12}{72}= \\frac{1}{6}\" align=\"absmiddle\" \/><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{6}&amp;space;\\times&amp;space;360^{\\circ}&amp;space;=\" alt=\"\\frac{1}{6} \\times 360^{\\circ} =\" align=\"absmiddle\" \/>\u00a0<\/strong>60\u00b0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">Marathi<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">9<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{72}=&amp;space;\\frac{1}{8}\" alt=\"\\frac{9}{72}= \\frac{1}{8}\" align=\"absmiddle\" \/><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{8}&amp;space;\\times&amp;space;360^{\\circ}&amp;space;=\" alt=\"\\frac{1}{8} \\times 360^{\\circ} =\" align=\"absmiddle\" \/> <\/strong>45\u00b0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">Tamil<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">7<\/span><\/td>\n<td><span style=\"color: #000000;\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{72}\" alt=\"\\frac{7}{72}\" align=\"absmiddle\" \/><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{72}&amp;space;\\times&amp;space;360^{\\circ}&amp;space;=\" alt=\"\\frac{7}{72} \\times 360^{\\circ} =\" align=\"absmiddle\" \/> \u00a0<\/strong>35\u00b0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">Bengali<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">4<\/span><\/td>\n<td><span style=\"color: #000000;\"><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{72}=&amp;space;\\frac{1}{18}\" alt=\"\\frac{4}{72}= \\frac{1}{18}\" align=\"absmiddle\" \/><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{18}&amp;space;\\times&amp;space;360^{\\circ}&amp;space;=\" alt=\"\\frac{1}{18} \\times 360^{\\circ} =\" align=\"absmiddle\" \/>\u00a0<\/strong>20\u00b0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\">Total<\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">72<\/span><\/td>\n<td colspan=\"2\"><span style=\"color: #000000;\"><strong>\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: #000000;\">Pie chart for the above data is drawn as below:<\/span><br \/>\n<span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3121\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Ans-5.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"343\" height=\"309\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Ans-5.png 411w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-5.2-Ans-5-300x270.png 300w\" sizes=\"auto, (max-width: 343px) 100vw, 343px\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 32px;\">\n<td style=\"width: 100%; background-color: #f2e079; text-align: center; height: 32px;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>NCERT Class 8<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 8 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Mathematics<\/a>\u00a0<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-sanskrit-ruchira\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\">NCERT Solutions Class 8 Sanskrit<\/span><\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 8 Mathematics\u00a0 Chapter &#8211; 5 (Data Handling)\u00a0 The NCERT Solutions in English Language for Class 8 Mathematics Chapter &#8211; 5 Data Handling Exercise 5.2 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 5: Data Handling NCERT Solution Class 8 Maths Ex &#8211; 5.1 NCERT [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[442],"tags":[452,453,445,5],"class_list":["post-3097","post","type-post","status-publish","format-standard","hentry","category-class-8-maths","tag-ncert-class-8-maths-chapter-5-data-handling-in-english","tag-ncert-solutions-class-8-maths-chapter-5-in-english","tag-ncert-solutions-class-8-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 8 Maths Chapter 5 Data Handling Ex 5.2 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 8 Mathematics\u00a0Chapter - 5 (Data Handling)\u00a0The NCERT Solutions in English Language for Class 8 Mathematics Chapter - 5 Data 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