### Data Handling - Solutions 2

CBSE Class –VIII Mathematics

NCERT Solutions

CHAPTER - 5

Data Handling (Ex. 5.2)

NCERT Solutions

CHAPTER - 5

Data Handling (Ex. 5.2)

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:

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?

(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?

Ans. (i) 10% represents 20 people.

Therefore 100% represents =

= 200 people

Hence, 200 people were surveyed.

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

(iii) CD’s of classical music =

= 100

CD’s of semi-classical music = = 200

CD’s of light music = = 400

CD’s of folk music = = 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.

(ii) Find the central angle of each sector.

(iii) Draw a pie chart to show this information.

Ans. (i) Winter season got the most votes.

(ii) Central angle of summer season =

Central angle of rainy season =

Central angle of winter season =

(iii)

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

Ans. Here, central angle = 360° and 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?

(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)

Ans.

(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

Yes, 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.

Ans.

Pie chart at above given data is as follows.

Ans.

Pie chart at above given data is as follows.