# NCERT Solutions for Class 8 Maths Chapter 5- Data Handling Exercise 5.2

Out of the 3 exercises present in the CBSE Class 8 Chapter 5 Data Handling, Exercise 5.2 deals with representing a data using pie charts. The NCERT Solutions for the questions present in the Exercise 5.2 are given below, in both pdf and scrollable image format. These solutions are prepared with proper reference, giving step-by-step explanation, by the Maths experts at BYJUâ€™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 these solutions, their problem solving speed will increase, helping them in boosting their self confidence.

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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.

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 CDâ€™s, how many of each type would they

make?

Solution:

(i) 10% represents 100 people.

âŸ¹20% represents = (100Ã—20)/10 = 200

âˆ´, 200 people were surveyed.

(ii) Since 40% of the total people surveyed liked light music and no other form of song liked more than that, we can conclude that light music is liked by the maximum number of people.

(iii) CDâ€™s of classical music = (10 Ã— 1000)/100 = 100

CDâ€™s of semi-classical music = (20 Ã— 1000)/100 = 200

CDâ€™s of light music = (40 Ã— 1000)/100 = 400

CDâ€™s of folk music = (30 Ã— 1000)/100 = 300

2. A group of 360 people were asked to vote for their favorite 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, winter season got the most votes.

(ii) Central angle of summer season= (90Ã—360)/360= 90o

Central angle of rainy season= (120Ã—360)/360= 120o

Central angle of winter season= (150Ã—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 = 360Â°. 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: Just 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 â€“ 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

âˆ´, 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 question 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.