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Exam-Style Question on Cumulative FrequencyA mathematics exam-style question with a worked solution that can be revealed gradually |
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.]"