Question

Draw a pie - diagram representing the relative frequencies (expressed as percentage) of the eight classes as given below:

12.6, 18.2, 17.5, 20.3, 2.8, 4.2, 9.8, 14.7

Answer 1

Total = 100
$\begin{array}{ccc}& & \\ \text{Class}& \text{Percentage}& \text{Central angle}\\ 1& 12.6\%& 12.6\times \frac{{360}^{\circ }}{100}={45.36}^{\circ }={45}^{\circ }\\ 2& 18.2\%& 18.2\times \frac{{360}^{\circ }}{100}={65.52}^{\circ }={66}^{\circ }\\ 3& 17.5\%& 17.5\times \frac{{360}^{\circ }}{100}={63}^{\circ }\\ 4& 20.3\%& 20.3\times \frac{{360}^{\circ }}{100}={73.08}^{\circ }={73}^{\circ }\\ 5& 2.8\%& 2.8\times \frac{{360}^{\circ }}{100}={10.08}^{\circ }={10}^{\circ }\\ 6& 4.2\%& 4.2\times \frac{{360}^{\circ }}{100}={15.12}^{\circ }={15}^{\circ }\\ 7& 9.8\%& 9.8\times \frac{{360}^{\circ }}{100}={35.28}^{\circ }={35}^{\circ }\\ 8& 14.7\%& 14.7\times \frac{{360}^{\circ }}{100}={52.92}^{\circ }={53}^{\circ }\\ & & {360}^{\circ }\end{array}$
Now, we draw a circle and divide it into sectors having the above central angles as shown in the figure given.