Question

State true or false.

The number of students speaking different languages is given below. By displaying the data in a pie chart, we can say that the percentage of student speaking Marathi is 14%.

$$\begin{array}{cc}Language& No.ofStudents\\ Hindi& 40\\ English& 12\\ Marathi& 9\\ Tamil& 7\\ Bengali& 4\\ Total& 72\end{array}$$

• A. True
• B. False

Answer 1

The correct option is B

False

Total is 72 = 360${}^{\circ }$

so central angle for hindi = $\frac{40}{72}$x360${}^{\circ }$= ${200}^{\circ }$

central angle for english = $\frac{12}{72}$x360${}^{\circ }$=${60}^{\circ }$

central angle for marathi = $\frac{9}{72}$x360${}^{\circ }$=${45}^{\circ }$

central angle for tamil = $\frac{7}{72}$x360${}^{\circ }$=${35}^{\circ }$

central angle for bengali = $\frac{4}{72}$x360${}^{\circ }$=${20}^{\circ }$

Percentage of students speaking Marathi is = $\frac{9}{72}\times 100=12.5$% or

Percentage of students speaking Marathi is = $\frac{45}{360}\times 100=12.5$%