Representing data - AQAPie charts

Data is represented in many different forms. Using bar charts, pie charts and frequency diagrams can make information easier to digest.

Part ofMathsStatistics

Pie charts

A pie chart is a circular chart. It shows the proportion of each group at a glance. Remember that there are 360° in a circle so each group in the pie chart will be a proportion of 360°.

A survey of the number of people in 180 vehicles is taken.

The results are in the table below.

Number of people in a vehicleFrequency
1 120
240
3 13
45
5 or more2
Total180
Number of people in a vehicle1
Frequency120
Number of people in a vehicle2
Frequency40
Number of people in a vehicle3
Frequency13
Number of people in a vehicle4
Frequency5
Number of people in a vehicle5 or more
Frequency2
Number of people in a vehicleTotal
Frequency180

To draw a pie chart for this data, find the proportion of 360.

Number of people in vehicleFrequencyCalculationAngle
1 person120\(\frac{120}{180} \times 360°\)240°
2 people40\(\frac{40}{180} \times 360°\)80°
3 people13\(\frac{13}{180} \times 360°\)26°
4 people5\(\frac{5}{180} \times 360°\)10°
5 or more2\(\frac{2}{180} \times 360°\)
Total180
Number of people in vehicle1 person
Frequency120
Calculation\(\frac{120}{180} \times 360°\)
Angle240°
Number of people in vehicle2 people
Frequency40
Calculation\(\frac{40}{180} \times 360°\)
Angle80°
Number of people in vehicle3 people
Frequency13
Calculation\(\frac{13}{180} \times 360°\)
Angle26°
Number of people in vehicle4 people
Frequency5
Calculation\(\frac{5}{180} \times 360°\)
Angle10°
Number of people in vehicle5 or more
Frequency2
Calculation\(\frac{2}{180} \times 360°\)
Angle
Number of people in vehicleTotal
Frequency180
Calculation
Angle
Pie chart showing number of people travelling in a vehicle