Comparing data setsCumulative frequency

Data sets can be compared by looking at their similarities and differences. This can be done by first calculating an average and a measure of spread for reach.

Part ofApplications of MathsStatistics

Cumulative frequency

The cumulative frequency is obtained by adding up the frequencies as you go along, to give a 'running total'.

Example

The table below shows the lengths (in cm) of 32 cucumbers.

To calculate the cumulative frequencies, we simply add the frequencies in turn as we go down the values in the table.

LengthFrequencyCumulative frequency
21 - 243\(3\)
25 - 287\(10\,(=3+7)\)
29 - 3212\(22\,(=3+7+12)\)
33 - 366\(28\,(=3+7+12+6)\)
37 - 404\(32\,(=3+7+12+6+4)\)
Length21 - 24
Frequency3
Cumulative frequency\(3\)
Length25 - 28
Frequency7
Cumulative frequency\(10\,(=3+7)\)
Length29 - 32
Frequency12
Cumulative frequency\(22\,(=3+7+12)\)
Length33 - 36
Frequency6
Cumulative frequency\(28\,(=3+7+12+6)\)
Length37 - 40
Frequency4
Cumulative frequency\(32\,(=3+7+12+6+4)\)