Exercise 4.1 (Revised) - Chapter 5 - Data Handling - Ncert Solutions class 8 - Maths

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Chapter 4 - Data Handling | NCERT Solutions for Class 8 Maths

Ex 4.1 Question 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?

Answer.

(i) $10 \%$ represents 20 people.
$
\begin{aligned}
& \text { Therefore } 100 \% \text { represents }=\frac{100 \times 20}{10} \\
& =200 \text { people }
\end{aligned}
$

Hence, 200 people were surveyed.
(ii) Light music is liked by the maximum number of people.
(iii) CD's of classical music $=\frac{10 \times 1000}{100}$

$
\begin{aligned}
& =100 \\
& \text { CD's of semi-classical music }=\frac{20 \times 1000}{100}=200 \\
& \text { CD's of light music }=\frac{40 \times 1000}{100}=400 \\
& \text { CD's of folk music }=\frac{30 \times 1000}{100}=300
\end{aligned}
$
Ex 4.1 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.

Answer.

(i) Winter season got the most votes.
(ii) Central angle of summer season $=\frac{90^{\circ} \times 360^{\circ}}{360^{\circ}}=90^{\circ}$
$
\begin{aligned}
& \text { Central angle of rainy season }=\frac{120^{\circ} \times 360^{\circ}}{360^{\circ}}=120^{\circ} \\
& \text { Central angle of winter season }=\frac{150^{\circ} \times 360^{\circ}}{360^{\circ}}=150^{\circ}
\end{aligned}
$

(iii)

Ex 4.1 Question 3.

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

Answer:

$\text {Here, central angle }=360^{\circ} \text { and total number of people }=36$

Ex 4.1 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 $=360^{\circ}$. 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)
Answer.

(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.
Ex 4.1 Question 5.

The number of students in a hostel, speaking different languages is given below.

Display the data in a pie chart. 

Answer

Pie chart at above given data is as follows.