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

**Ex 5.2 Class 8 Maths Question 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) Number of young people who were surveyed = 100 x 20/10 = 200 people.

(ii) Light music is liked by the maximum people, i.e., 40%

(iii) Total number of CD = 1000

Number of viewers who like classical music = 10 x 1000/100 = 100

Number of viewer who like semi-classical music = 20 x 1000/100 = 200

Number of viewers who like light music = 40 x 1000/100 = 400

Number of viewers who like folk music = 30 x 1000/100 = 300

**Ex 5.2 Class 8 Maths Question 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, i.e. 150

(iii) Pie chart

**Ex 5.2 Class 8 Maths Question 3.**

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

**Solution:**

Table to find the central angle of each sector

**Ex 5.2 Class 8 Maths Question 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) For 540 marks, the central angle = 360°

For 105 marks the central angle = 360/540 x 105 = 70°

Corresponding subject = Hindi

(ii) Marks obtained in Mathematics = 90/360 x 540 = 135

Marks obtained in Mathematics more than Hindi = 135 – 105 = 30

(iii) Central angle of Social Science + Mathematics = 65° + 90° = 155°

Central angle of Science + Hindi = 80° + 70° = 150°

Marks obtained in Social Science and Mathematics are more than that of the marks obtained in Science and Hindi.

**Ex 5.2 Class 8 Maths Question 5.**

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