## Exam-Style Question on Cumulative Frequency## A 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.]"