AQA GCSE · Question 10.2 · Statistical Measures and Calculations
54 000 people are represented in the pie chart. The angle for the Labour sector is 120°. Work out how many of them voted for Labour.
How to approach this question
1. A full circle has 360 degrees. The total number of people (54,000) corresponds to 360°.
2. The Labour sector has an angle of 120°.
3. The fraction of people who voted for Labour is the angle for Labour divided by the total angle of a circle (120°/360°).
4. Simplify this fraction.
5. Multiply the simplified fraction by the total number of people (54,000) to find the number of Labour voters.
Full Answer
18 000
The total number of people represented in the pie chart is 54,000, which corresponds to the full 360° of the circle.
The angle for the Labour party is given as 120°.
To find the number of Labour voters, we first find the proportion of the circle that represents Labour:
Proportion for Labour = (Angle for Labour) / (Total angle) = 120° / 360°
This fraction simplifies to 1/3.
Now, we find 1/3 of the total number of voters:
Number of Labour voters = (1/3) * 54,000
Number of Labour voters = 54,000 / 3 = 18,000.
So, 18,000 people voted for Labour.
Common mistakes
✗ Assuming the angle is 90° just by looking at it.\n✗ Dividing 54,000 by 120 instead of multiplying by the fraction.\n✗ Calculation errors.
Expert