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0580/41 Oct/Nov 2025, Question 16: Mean from grouped data

Cambridge IGCSE Mathematics 0580 · Paper 41 (Extended) · Calculator · 4 marks

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The question, in short

50 plants are grouped by height: 5 < h ≤ 10 (3 plants), 10 < h ≤ 12 (24 plants), 12 < h ≤ 20 (23 plants). Estimate the mean height.

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Solution · 4 marks

  1. 1Mid-values: 7.5, 11, 16
  2. 2Σfx = 7.5 × 3 + 11 × 24 + 16 × 23 = 22.5 + 264 + 368 = 654.5
  3. 3Mean = 654.5 ÷ 50 = 13.09 cm

Answer13.09

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