AI generatedStatisticsKey Stage 3

Finding frequencies from a pie chart

Finding frequencies from a pie chart.

  • A whole circle is 360°. Each sector represents the same fraction of the angle total and frequency total.
  • Angle = frequency ÷ total × 360. Frequency = angle ÷ 360 × total.
  • If one sector has both values, use it to recover the total. Check completed frequencies and angles add correctly.

Example 1

The pie chart represents 48 students. Find the frequency in category A.

Pie chartA60°B75°C90°D135°Total frequency = 48
Fraction of circleThe angle and the frequency represent the same fraction of the whole.
FrequencyMultiply that fraction by the total number of students.

Example 2

The pie chart represents 72 students. Find the frequency in category B.

Pie chartA75°B90°C120°D75°Total frequency = 72
Fraction of circleThe angle and the frequency represent the same fraction of the whole.
FrequencyMultiply that fraction by the total number of students.

Your turn

Question 1

The pie chart represents 96 students. Find the frequency in category C.

Pie chartA60°B75°C90°D135°Total frequency = 96
Check answer
Fraction of circleThe angle and the frequency represent the same fraction of the whole.
FrequencyMultiply that fraction by the total number of students.
Question 2

The pie chart represents 120 students. Find the frequency in category D.

Pie chartA75°B90°C120°D75°Total frequency = 120
Check answer
Fraction of circleThe angle and the frequency represent the same fraction of the whole.
FrequencyMultiply that fraction by the total number of students.
Question 3

The pie chart represents 144 students. Find the frequency in category A.

Pie chartA60°B75°C90°D135°Total frequency = 144
Check answer
Fraction of circleThe angle and the frequency represent the same fraction of the whole.
FrequencyMultiply that fraction by the total number of students.
Question 4

The pie chart represents 168 students. Find the frequency in category B.

Pie chartA75°B90°C120°D75°Total frequency = 168
Check answer
Fraction of circleThe angle and the frequency represent the same fraction of the whole.
FrequencyMultiply that fraction by the total number of students.
Question 5

The pie chart represents 192 students. Find the frequency in category C.

Pie chartA60°B75°C90°D135°Total frequency = 192
Check answer
Fraction of circleThe angle and the frequency represent the same fraction of the whole.
FrequencyMultiply that fraction by the total number of students.