Statistical skillsPie charts

Graphs, charts and tables are used to help organise and order data. We can use statistical processes to analyse raw or grouped data in order to measure spread or calculate averages.

Part ofMathsStatistics

Pie charts

Pie charts can be drawn easily, if we remember the crucial fact that there are 360 degrees about the centre of the circle. We split this up to show the different quantities.

Example

An example would be the following results of where a group of pupils went for their summer holidays.

The results are given as percentages and need converting to degrees to be measured out and drawn.

The results are shown below:

DestinationPercentage of pupils (%)CalculationAngle
Spain40\(\frac{{40}}{{100}} \times 360^\circ\)\(144^\circ\)
America25\(\frac{{25}}{{100}} \times 360^\circ\)\(90^\circ\)
France5\(\frac{{5}}{{100}} \times 360^\circ\)\(18^\circ\)
Scotland20\(\frac{{20}}{{100}} \times 360^\circ\)\(72^\circ\)
Greece10\(\frac{{10}}{{100}} \times 360^\circ\)\(36^\circ\)
DestinationSpain
Percentage of pupils (%)40
Calculation\(\frac{{40}}{{100}} \times 360^\circ\)
Angle\(144^\circ\)
DestinationAmerica
Percentage of pupils (%)25
Calculation\(\frac{{25}}{{100}} \times 360^\circ\)
Angle\(90^\circ\)
DestinationFrance
Percentage of pupils (%)5
Calculation\(\frac{{5}}{{100}} \times 360^\circ\)
Angle\(18^\circ\)
DestinationScotland
Percentage of pupils (%)20
Calculation\(\frac{{20}}{{100}} \times 360^\circ\)
Angle\(72^\circ\)
DestinationGreece
Percentage of pupils (%)10
Calculation\(\frac{{10}}{{100}} \times 360^\circ\)
Angle\(36^\circ\)

Therefore, the pie chart looks like this:

Pie chart showing holiday destinations by popularity

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