Question

The number of students in a hostel, speaking different languages is given below, Display the data in a pie chart.
$\begin{array}{ccccccc}\text{Language}& \text{Hindi}& \text{English}& \text{Marathi}& \text{Tamil}& \text{Bengali}& \text{Total}\\ \text{No of students}& 40& 12& 9& 7& 4& 72\end{array}$
[4 marks]

Answer 1

$\begin{array}{cccc}\text{Language}& \text{No of students}& \text{In fraction}& \text{Central Angle}\\ \text{Hindi}& 40& \frac{40}{72}=\frac{5}{9}& \frac{5}{9}\times {360}^{\circ }={200}^{\circ }\\ \text{English}& 12& \frac{12}{72}=\frac{1}{6}& \frac{1}{6}\times {360}^{\circ }={60}^{\circ }\\ \text{Marathi}& 9& \frac{9}{72}=\frac{1}{8}& \frac{1}{8}\times {360}^{\circ }={45}^{\circ }\\ Tamil& 7& \frac{7}{72}& \frac{7}{72}\times {360}^{\circ }={35}^{\circ }\\ \text{Bengali}& 4& \frac{4}{72}=\frac{1}{18}& \frac{1}{18}\times {360}^{\circ }={20}^{\circ }\\ \text{Total}& 72& & \end{array}$
[2.5 marks]
Pie chart at above given data is as follows
[1.5 marks]