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4MA1/2H Jun 2024, Question 1: Mean, Median, Mode and Range

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

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The question, in short

Eight ordered integers h, 6, 7, 8, j, 16, k, k have median 10, mode 18 and range 13; find h, j and k.

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Solution · 3 marks

  1. 1The mode is 18, so k = 18
  2. 2The median of eight numbers is the average of the 4th and 5th values
  3. 3(8 + j) ÷ 2 = 10
  4. 48 + j = 20
  5. 5j = 12
  6. 6The range is 13, so k − h = 13
  7. 718 − h = 13
  8. 8h = 5

Answerh = 5, j = 12, k = 18

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