The pie chart above shows the statistical distribution of 80 students in five subjects in an examination. Calculate how many student offer Mathematics.
- 30
-
11
- 50
- 20
The correct answer is: B
Explanation
5x° + (16x - 24)° + 5x° + (4x + 12)° + (6x + 12)° = 360°
36x° - 24 + 12 + 12 = 360°
36x° = 360°
x° = \(\frac{360°}{36}\)
= 10°
Thus, the angle of sector representing Mathematics is 5 x 10° = 50°. Hence the number of students who offer mathematics is
\(\frac{50}{360} \times 80 \approx 11\)
There is an explanation video available .