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GCSE Maths: Cumulative Frequency & Box Plots

Draw and interpret cumulative frequency curves and box plots. Practise it with adaptive questions for AQA, Edexcel, OCR and Eduqas.

StatisticsFoundation & HigherAQA · Edexcel · OCR · Eduqas

What you need to know

The concepts examiners test on cumulative frequency & box plots, and what each one is really asking.

Calculate cumulative frequency
Plot a cumulative frequency curve
Find median and quartiles from a curve
Draw and interpret box plots

Where marks get lost

The exam technique that separates a correct method from a correct answer.

  • Plotting at the midpoint instead of the UPPER BOUND for cumulative frequency
  • Joining points with a ruler (it must be a smooth curve!)
  • Reading the quartile values from the y-axis and leaving them as the answer, rather than reading down to the x-axis

Cumulative Frequency & Box Plots questions students ask

Is Cumulative Frequency & Box Plots on the Foundation paper?

Yes. Cumulative Frequency & Box Plots appears at both Foundation and Higher tier, though Higher papers take it further.

What should I know before starting Cumulative Frequency & Box Plots?

It builds on Averages and Plotting graphs. If those feel shaky, practise them first — Cumulative Frequency & Box Plots questions assume them.

What is the most common mistake in Cumulative Frequency & Box Plots?

Plotting at the midpoint instead of the UPPER BOUND for cumulative frequency.

Which exam boards cover Cumulative Frequency & Box Plots?

All four we support — AQA, Edexcel, OCR and Eduqas. GCSE Maths subject content is set by the DfE, so the topic is common to every board; what changes is the paper structure and the grade boundaries.