NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.2 – Data Handling, has been designed by the NCERT to test the knowledge of the student on the topic – Circle Graph or Pie Chart – Drawing pie charts

### NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.2

**NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.2**

**Q.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 CD’s, how many of each type would they make?**

**Solution:**

**(i)** Given, 20 people liked classical music

if 10% = 20

10 × 10 % = 20 × 10 = 200

Hence, 200 young people were surveyed

**(ii)** Light music is liked by maximum number of people.

**(iii)** CD’s of classical music = 1000 x (10/100) = 100 people

CD’s of Semi Classical = 1000 x (20/100) = 200 people

CD’s of Folk = 1000 x (30/100) = 300 people

CD’s of Light music = 1000 x (40/100) = 400 people

**Q.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)** Winter season got the most votes

**(ii)** Central angle of summer season = (90°/360°) × 360° = 90°

Central angle of Rainy season = (120°/360°) × 360° = 120°

Central angle of Winter season = (150°/360°) × 360° = 150°

**(iii)** Pie chart:

**Q.3 Draw a pie chart showing the following information. The table shows the colours preferred by a group of people. **

**Solution:**

Total angle = 360°

Total number of people = 36

Pie chart of above data:

**Q.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: Just study the central angles).**

**Solution: **

**(i)** In Hindi the student scored 105 marks.

**(ii)** Marks obtained in Maths – Marks obtained in Hindi = 135 – 105 = 30

Hence, 30 more marks were obtained by the student in Mathematics than in Hindi

**(iii)** Sum of the marks obtained in Social Science and Mathematics = 97.5+135 = 232.5

Sum of the marks obtained in Science and Hindi = 120+105 = 225

Yes, the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi (232.5 > 225)

**Q.5 The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart.**

**Solution:**

Pie Chart of given data:

**The next Exercise for** **NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.3 – Data Handling can be accessed by clicking here.**

**Download NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.2**