# Exam-Style Question on Cumulative Frequency

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 219. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

The table shows the test marks for 31 students.

 Percentage (p) Frequency 5 ≤ p < 15 2 15 ≤ p < 25 3 25 ≤ p < 35 4 35 ≤ p < 45 3 45 ≤ p < 55 8 55 ≤ p < 65 8 65 ≤ p < 75 2 75 ≤ p < 85 1

Marco drew this cumulative frequency graph using the data.

Make three criticisms of Marco’s graph.

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Mary Cleare, Axe Valley

Friday, September 22, 2023

"Q id 219
I teach OCR maths gcse and aqa statistics gcse
with the 9-1 gcse they are very happy for cumulative frequency to be joined with line segments - and for many kids it gives a much better chance that the numbers they read off the graph will be within tolerance.
We do, however expect kids to join the cf graph to the x axis at the left hand boundary of the first group.
thanks for all your work John.

[Transum: Thanks for that information Mary. Very good points.]"

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