GCSE Maths (AQA)

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Cumulative Frequency Graphs

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Statistics Statistics

Cumulative Frequency Graphs

4:54 Grouped Data & Cummulative Frequency
Spec S3 S4
Previous Cumulative Frequency Next Even Histograms
  • Cumulative frequency graph plots upper bounds in a set of group data against their cumulative frequencies
  • Cumulative frequency is a running count of the frequencies up to and including a given group
  • X coordinates of the points on the graph are given by the upper bound of the group
  • Y coordinates of the points are given by the cumulative frequency of that group
  • The graph starts at the x axis with a point at the lower bound of the first group (usually zero)
  • The final point on the graph has coordinates equal to the final cumulative frequency and the upper bound of the final group
  • Plots can be joined with straight lines or a single smooth curve
  • Straight lines are easier to join, but a curve is more likely to represent the actual distribution of frequencies within the groups
  • Suitable scale for each axis must be chosen
  • The scale on the y axis must start at zero and go to at least the largest cumulative frequency
  • Example given of plotting a cumulative frequency graph for pressure readings from a boiler
  • Steps provided for plotting the graph: choose scale, plot starting point, plot cumulative frequencies for each group, join plotted points together

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