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4MA1/1F Jun 2025, Question 18: Estimating the Mean for Grouped Data

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks

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The question, in short

From a grouped frequency table of distances 100 adults travel to work, identify the modal class and estimate the mean distance.

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

Part (a) · 1 mark

State which distance interval has the highest frequency.

  1. 1Highest frequency is 40
  2. 2Modal class is 5 < d ≤ 10

Answer5 < d ≤ 10

Part (b) · 4 marks

Use class midpoints and frequencies to calculate an estimated mean distance.

  1. 1Midpoints: 2.5, 7.5, 12.5, 17.5, 22.5
  2. 22.5 × 26 + 7.5 × 40 + 12.5 × 16 + 17.5 × 10 + 22.5 × 8
  3. 3= 65 + 300 + 200 + 175 + 180 = 920
  4. 4Mean ≈ 920 ÷ 100
  5. 5= 9.2 km

Answer9.2

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