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