{"id":27117,"date":"2021-06-29T15:15:59","date_gmt":"2021-06-29T09:45:59","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=27117"},"modified":"2022-03-02T10:47:23","modified_gmt":"2022-03-02T05:17:23","slug":"ncert-solutions-for-class-8-maths-chapter-5-ex-5-2","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-5-ex-5-2\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.2"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 5 Data Handling Ex 5.2 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Exercise 5.2<\/h2>\n

Question 1.
\nA survey was made to find the type of music that a certain group of young people liked in a city. The adjoining pie chart shows the findings of this survey. From this pie chart answer the following:
\n(i) If 20 people liked classical music, how many young people were surveyed?
\n(ii) Which type of music is liked by the maximum number of people?
\n(iii) If a cassette company were to make 1000 CD\u2019s how many of each type would they make?
\n\"NCERT
\nSolution:
\nLet the required number of young people be ‘x’
\n\u2234 10% of x = 20
\n\\(\\frac{10}{100}\\) \u00d7 x = 20
\nx = \\(\\frac{20 \\times 100}{10}\\) = 200
\n(ii) Light music is liked by the maximum number of people
\n(iii) Total number of CD\u2019s = 1000
\nNumber of CD\u2019s of Semi classical music = 20% of 1000
\n= \\(\\frac{20}{100}\\) \u00d7 1000
\n= 200
\nNumber of CD\u2019s for classical = 10% of 1000
\n= \\(\\frac{10}{100}\\) \u00d7 1000
\n= 100
\nNumber of CD\u2019s for folks = 30% of 1000
\n= \\(\\frac{30}{100}\\) \u00d7 1000
\n= 300
\nNumber of CD\u2019s for light music = 40% of 1000
\n= \\(\\frac{40}{100}\\) \u00d7 1000
\n= 400<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nA group of 360 people were asked to vote for their favourite season from the three season rainy, winter and summer.
\n\"NCERT
\n(i) Which season got the most votes?
\n(ii) Find the central angle of each sector.
\n(iii) Draw a pie chart to show this information.
\nSolution:
\n(i) Winter season got the most votes.
\n(ii) Total votes = 90 + 120 + 150 = 360
\nCentral angle of the sector corresponding to summer season
\nNo. of people who vote for summer
\n= \\(\\frac{\\text { No. of people who vote for summer }}{\\text { No. of people }} \\times 360\\)
\n= \\(\\frac{90}{360}\\) \u00d7 360\u00b0
\n= 90\u00b0
\nrainy sector = \\(\\frac{120}{360}\\) \u00d7 360\u00b0 = 120\u00b0
\nwinter sector = \\(\\frac{150}{360}\\) \u00d7 360\u00b0 = 150\u00b0
\n\"NCERT<\/p>\n

Question 3.
\nDraw a pie chart showing the following information. The table shows the colours preferred by a group of people.
\n\"NCERT
\nFind the proportion of each sector. For example, Blue is \\(\\frac{18}{36}=\\frac{1}{2}\\); Green is \\(\\frac{9}{36}=\\frac{1}{4}\\) and so on. Use this to find the corresponding angles.
\nSolution:
\n\"NCERT
\nThe required pie chart is given below:
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 4.
\nThe 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.
\n\"NCERT
\n(i) In which subject did the student score 105 marks? (Hint: for 540 marks, the central angle = 360\u00b0. So, for 105 marks, what is the central angle?)
\n(ii) How many more marks were obtained by the student in Mathematics than in Hindi?
\n(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than in Science and Hindi. (Hint: Just study the central angles).
\nSolution:
\n(i) Total marks = 540
\n\u2234 For 540 marks, the central angle = 360\u00b0
\n\u2234 For 105 marks, the central angle = \\(\\frac {360}{540}\\) \u00d7 105 = 70\u00b0
\nSince the sector having central angle 70\u00b0 is corresponding to Hindi. Thus, the student scored 105 marks in Hindi.
\n(ii) Marks obtained in Mathematics = \\(\\frac{90^{\\circ}}{360^{\\circ}} \\times 540\\) = 135
\nStudents in Mathematics scored = 135 – 105 = 30
\n(iii) Sum of the central angles for social science and mathematics = 65\u00b0 + 90\u00b0 = 155\u00b0
\nSum of the central angles for science and Hindi = 80 + 70 = 150\u00b0
\n\u2234 Marks obtained are proportional to the central angles corresponding to various items and 155\u00b0 > 150\u00b0
\n\u2234 Marks obtained in Science and Mathematics are more than the marks obtained in Science and Hindi.<\/p>\n

\"NCERT<\/p>\n

Question 5.
\nThe number of students in a hostel, speaking different languages is given below. Display the data in a pie chart.
\n\"NCERT
\nSolution:
\nCentral angle of the sector representing
\n(a) Hindi language = \\(\\frac{40}{72}\\) \u00d7 360\u00b0 = 200\u00b0
\n(b) English language = \\(\\frac{12}{72}\\) \u00d7 360\u00b0 = 60\u00b0
\n(c) Marathi Language = \\(\\frac{9}{72}\\) \u00d7 360\u00b0 = 45\u00b0
\n(d) Tamil language = \\(\\frac{7}{72}\\) \u00d7 360\u00b0 = 35\u00b0
\n(e) Bengali language = \\(\\frac{4}{72}\\) \u00d7 360 = 20\u00b0
\nThus, the required pie chart is given below.
\n\"NCERT<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Exercise 5.2 Question 1. A survey was made to find the type of music that a certain group of young people …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.2<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.2 - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-5-ex-5-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.2 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.2 Questions and Answers are prepared by our highly skilled subject experts. 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