Question

5 points

13. The distribution by state of 840
students in the Faculty of Science of
a Nigerian university in a certain
session is as follows: Kano 45; Kwara
410; Ogun 105; Ondo 126; Oyo 154. In
a pie chart drawn to represent this
distribution, the angle subtended by
Ondo is
36°
0 42
45
0 54​

Answer 1

`Angle = 54`

Explanation:

Given

Kano = 45;

Kwara = 410;

Ogun = 105;

Ondo = 126;

Oyo = 154

Total Distribution = 840

Required

Determine the angle subtended by Ondo (in a pie chart)

The general formula to calculate subtended angle in a Pie chart is;

`Angle = 360 * (Frequency)/(Total\ Frequency)`

In this case of Ondo

Frequency = 126

Total Frequency = Total Distribution = 840

Substitute these values in the given formula;

`Angle = 360 * (126)/(840)`

`Angle = (360 *126)/(840)`

`Angle = (45360)/(840)`

`Angle = 54`

Hence, the angle subtended by Ondo is 54