Out of the 3 exercises in the CBSE Class 8 Chapter 5 Data Handling, Exercise 5.2 deals with representing data using pie charts. The NCERT Solutions for the questions in Exercise 5.2 are given below in both PDF and scrollable image formats. These solutions are prepared with proper reference, giving a step-by-step explanation, by the Maths experts at BYJU’S.
Understanding the proper methods to solve the NCERT solutions for Class 8 Maths will help the students in solving the different types of questions that are likely to be asked in the examination. Once the students get proficient in the NCERT Class 8 Maths solutions, their problem-solving speed will increase, helping them in boosting their self-confidence.
NCERT Solutions for Class 8 Maths Chapter 5 – Data Handling Exercise 5.2
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Access other exercise solutions of Class 8 Maths Chapter 5 – Data Handling
Exercise 5.1 Solutions 5 Questions (5 Short Answer Questions)
Exercise 5.3 Solutions 6 Questions (2 Long Answer Questions, 4 Short Answer Questions)
Access Answers of Maths NCERT Class 8 Chapter 5 – Data Handling Exercise 5.2 Page Number 82
1. A 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:
(i) If 20 people liked classical music, how many young people were surveyed?
(ii) Which type of music is liked by the maximum number of people?
(iii) If a cassette company were to make 1000 CDs, how many of each type would they
make?
Solution:
(i) 10% represents 100 people.
⟹20% represents = (100×20)/10 = 200
∴, 200 people were surveyed.
(ii) Since 40% of the total people surveyed liked light music and no other form of song was liked more than that, we can conclude that light music is liked by the maximum number of people.
(iii) CD’s of classical music = (10 × 1000)/100 = 100
CD’s of semi-classical music = (20 × 1000)/100 = 200
CD’s of light music = (40 × 1000)/100 = 400
CD’s of folk music = (30 × 1000)/100 = 300
2. A group of 360 people were asked to vote for their favourite season from the three:
seasons rainy, winter and summer.
(i) Which season got the most votes?
(ii) Find the central angle of each sector.
(iii) Draw a pie chart to show this information
Solution:
(i) According to the table given in the question, the winter season got the most votes.
(ii) Central angle of summer season= (90×360)/360= 90o
Central angle of rainy season= (120×360)/360= 120o
Central angle of winter season= (150×360)/360= 150o
(iii)
3. Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.
Solution:
Here, central angle = 360o Total number of people = 36
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.
(i) In which subject did the student score 105 marks?
(Hint: for 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?)
(ii) How many more marks were obtained by the student in Mathematics than in Hindi?
(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi. (Hint: Study the central angles).
Solution:
(i) The student scored 105 marks in Hindi.
(ii) Marks obtained in Mathematics = 135 Marks obtained in Hindi = 105 Difference = 135 – 105 = 30
Thus, 30 more marks were obtained by the student in Mathematics than in Hindi.
(iii) The sum of marks in Social Science and Mathematics = 97.5 + 135 = 232.5
The sum of marks in Science and Hindi = 120 + 105 = 225
∴ The sum of the marks in Social Science and Mathematics is more than that in Science and Hindi.
5. The number of students in a hostel speaking different languages is given below. Display the data in a pie chart.
Solution:
NCERT Solution For Class 8 Maths Chapter 5 – Data Handling
The second exercise of Class 8 NCERT Maths Chapter 5, Data Handling, deals with the representation of a given data or information by drawing a pie chart. There are 5 main questions in this exercise, out of which the first, second and fourth questions have 3 sub-questions each. The pie chart is also known as a circle graph. A circle graph shows the relationship between a whole and its parts. The whole circle is divided into sectors. The size of each sector is proportional to the activity or information it represents. By solving Exercise 5.2, students will be able to understand the steps that ought to be followed while drawing a pie chart.
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