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0580/23 Oct/Nov 2022, Question 4: Mean, Median, Mode and Range

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks

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The question, in short

Four rowers have mean mass 97.5 kg, modal mass 101 kg and range 8 kg. Work out the mass of each man.

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Solution · 3 marks

  1. 1Total mass = 4 × 97.5 = 390 kg
  2. 2Mode 101: two men are 101 kg, so other two total 390 − 202 = 188
  3. 3Range 8: lightest = 101 − 8 = 93, so last = 188 − 93 = 95
  4. 4Masses: 93, 95, 101, 101

Answer93, 95, 101, 101

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