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4MA1/2H Jun 2025, Question 1: Averages and range

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks

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The question, in short

Six numbers are written in order of size as ?, ?, 6, ?, 10, 14. Their range is 10, median is 7.5 and mode is 6. Find the three missing numbers.

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

Solution · 3 marks

  1. 1Range 10: smallest = 14 − 10 = 4
  2. 2Median 7.5 = (6 + 4th card)/2
  3. 34th card = 2 × 7.5 − 6 = 9
  4. 4Mode 6: 2nd card = 6
  5. 5Cards: 4, 6, 6, 9, 10, 14

Answer4, 6, 9

Stuck on a step? Read the free lesson: Mean, Median, Mode and Range

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