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4024/11 Oct/Nov 2025, Question 15: Drawing Cumulative Frequency Diagrams

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Using a cumulative frequency curve of journey times against minutes, estimate the median and the count of journeys lasting 20 minutes or more.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Read the median journey time from the cumulative frequency curve.

  1. 1Median at cumulative frequency 1/2 × 60 = 30
  2. 2Median ≈ 24 minutes

Answer24

Part (b) · 2 marks

Use the curve to estimate how many journeys took 20 minutes or more.

  1. 1At 20 minutes the cumulative frequency is 23
  2. 2Journeys of 20 minutes or more = 60 − 23 = 37

Answer37

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