Handling Data 1
3 marks · HardA pie chart is used to show the distribution of favourite types of movies chosen by 60 students at a school. The angles for three out of four sections are given below:
| Genre | Angle |
|---|---|
| Action | 120° |
| Comedy | 90° |
| Animation | 60° |
| Drama | ? |
Work out the number of students who selected 'Drama' as their favourite genre and explain clearly how you found your answer.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
Drama: 15 students
Also accept: Clear method with working showing calculation of missing angle and number of students
Common mistakes: Not subtracting correctly for angle; Dividing by wrong total
Show mark scheme and worked solution
Marking points
M1 · 1 mark · Subtracts given angles from 360° to find missing drama angle. (follow-through)
M2 · 1 mark · Works out correct proportion of students for drama (Drama angle / 360 × total students). (follow-through)
A1 · 1 mark · Correct answer of 15 students, with clear working/explanation. (follow-through)
Worked solution
First, add up the known angles: 120° + 90° + 60° = 270°.
Subtract from 360° to find Drama angle: 360° - 270° = 90°.
The pie chart is out of 60 students. The Drama section’s proportion is 90°/360° = 1/4.
So, 15 students chose Drama.