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0580/22 Feb/Mar 2024, Question 17: Estimating the Mean for Grouped Data

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks

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The question, in short

Using a grouped frequency table of heights for 200 people, calculate an estimate of the mean height.

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Solution · 4 marks

  1. 1Midpoints: 110, 125, 140, 170
  2. 2Σfh = 32 × 110 + 55 × 125 + 64 × 140 + 49 × 170
  3. 3= 3520 + 6875 + 8960 + 8330 = 27685
  4. 4Mean = 27685 ÷ 200 = 138.425 cm

Answer138.425

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