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Ex.5.2 Q5 Data Handling Solutions - NCERT Maths Class 8

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Question

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

Language

Hindi

English

Marathi

Tamil

Bengali

Total

No. of students

\(40\)

\(12\)

\(9\)

\(7\)

\(4\)

\(72\)

 Video Solution
Data Handling
Ex 5.2 | Question 5

Text Solution

What is known?

Distribution of the students with respect to the language they speak.

What is unknown?

Pie chart of the given information.

Reasoning:

A circle graph or pie chart shows the relationship between a whole and its parts.Sum of the total angles in a pie chart is equal to \(360^{\circ}.\)

Steps:

The central angle for each language is calculated as below

Language

No. of students

In fraction

Central Angle

Hindi

\(40\)

\(\begin{align}\frac{{40}}{{72}} = \frac{5}{9}\end{align}\)

\(\begin{align}\frac{5}{9} \times 360^\circ = 200^\circ \end{align}\)

English

\(12\)

\(\begin{align}\frac{{12}}{{72}} = \frac{1}{6}\end{align}\)

\begin{align}\frac{1}{6} \times {360^{\circ}} = 60^\circ\end{align}

Marathi

\(9\)

\(\begin{align}\frac{9}{{72}} = \frac{1}{8}\end{align}\)

\begin{align}\frac{1}{8} \times 360^\circ = 45^\circ\end{align}

Tamil

\(7\)

\(\begin{align}\frac{7}{{72}} = \frac{7}{{72}}\end{align}\)

\begin{align}\frac{7}{{72}} \times {360^\circ} = {35^\circ}\end{align}

Bengali

\(4\)

\(\begin{align}\frac{4}{{72}} = \frac{1}{{18}}\end{align}\)

\begin{align}\frac{1}{{18}} \times {360^\circ} = {20^\circ}\end{align}

Total

\(72\)

Pie chart for above data is drawn as below:

  
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