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0580/21 May/Jun 2025, Question 9: Averages from Frequency Tables

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 3 marks

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The question, in short

A frequency table gives test marks 4, 5, 8 with frequencies 2, 4 and n; the mean mark is 6. Work out n.

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Solution · 3 marks

  1. 1(2 × 4 + 4 × 5 + 8n)/(2 + 4 + n) = 6
  2. 28 + 20 + 8n = 6(6 + n)
  3. 328 + 8n = 36 + 6n
  4. 42n = 8, so n = 4

Answer4

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