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4MA1/2H Jan 2022, Question 9: Averages from Frequency Tables

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

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The question, in short

A frequency table shows points 0 to 4 with frequencies 13, 17, 8, x, 11 and mean 2. Find x.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 4 marks

  1. 1(0 × 13) = 0
  2. 2(1 × 17) = 17
  3. 3(2 × 8) = 16
  4. 4(4 × 11) = 44
  5. 50 + 17 + 16 + 44 = 77
  6. 6Sum of points = 77 + 3x
  7. 7Total frequency = 13 + 17 + 8 + x + 11 = 49 + x
  8. 8(77 + 3x) / (49 + x) = 2
  9. 977 + 3x = 2(49 + x)
  10. 1077 + 3x = 98 + 2x
  11. 113x − 2x = 98 − 77
  12. 12x = 21

Answer21

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