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

Go back to  'Ex.5.2'

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

\(40\)

\(12\)

\(9\)

\(7\)

\(4\)

\(72\)

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:

  
Learn from the best math teachers and top your exams

  • Live one on one classroom and doubt clearing
  • Practice worksheets in and after class for conceptual clarity
  • Personalized curriculum to keep up with school