NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.2 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 5 Data Handling Ex 5.2.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 8 |

Subject |
Maths |

Chapter |
Chapter 5 |

Chapter Name |
Data Handling |

Exercise |
Ex 5.2 |

Number of Questions Solved |
5 |

Category |
NCERT Solutions |

## 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. Following 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)** Let x be the number of young people surveyed.

∴ 10% of x = 20

⇒ \(\frac { 10 }{ 100 } \) x x = 20

⇒ x = 20 x 10 = 200

Thus, number of young people surveyed = 200

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

**(iii)** Number of CD’s in respect of

**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)** The winter season got the maximum votes.

**(ii)** The proportion of sectors (winter, summer and rainy seasons) are as

**
(iii)** Central angle for winter season

**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.

Find the proportion of each sector. For example. Blue is \(\frac { 18 }{ 36 } =\frac { 1 }{ 2 } \); Green is \(\frac { 9 }{ 36 } =\frac { 1 }{ 4 } \) and so on.

Use this to find the corresponding angles.

**Solution:**

Central angle for the blue colour

\(=\left( \frac { 18 }{ 36 } \times 360 \right) ^{ \circ }=180^{ \circ }\),

Central angle for the green colour

\(=\left( \frac { 9 }{ 36 } \times 360 \right) ^{ \circ }=90^{ \circ }\),

Central angle for the red colour

\(=\left( \frac { 6 }{ 36 } \times 360 \right) ^{ \circ }=60^{ \circ }\),

central angle for the yellow colour

\(=\left( \frac { 3 }{ 36 } \times 360 \right) ^{ \circ }=30^{ \circ }\),

Now, various components may be shown by the adjoining pie chart.

**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?

**(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.

**Solution:**

**(i)**For 540 marks, the central angle = 360°

∴ For 1 mark, the central angle = \(\left( \frac { 360 }{ 540 } \right) ^{ \circ }=\left( \frac { 2 }{ 3 } \right) ^{ \circ }\)

∴ For 105 marks, the central angle = \(\left( \frac { 2 }{ 3 } \times 105 \right) ^{ \circ }=70^{ \circ }\)

Hence, from the given pie chart, the subject is Hindi.

**(ii)** Difference between the central angles made by the subject of Mathematics and Hindi = 90° – 70° = 20°.

For the central angle of 360°, marks obtained = 540

For the central angle of 1°, marks obtained \(=\frac { 540 }{ 360 } =\frac { 3 }{ 2 } \)

For the central angle of 20°, marks obtained \(=\frac { 3 }{ 2 } \times 20=30\)

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

**(iii)** Sum of the central angles made by Social Science and Mathematics = 65°+ 90° = 155°.

And, the sum of the central angles made by Science and Hindi = 80°+ 70° = 150°.

Since 155° >150°, therefore, the sum of the marks obtained in Social Science and Mathematics is more than that 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.

**Solution:**

Let us find the central angle of each sector. Here the total scale = 72. We thus have the following table :

Now, we make the pie chart as shown below :

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