4MA1/1H Jun 2022, Question 21: Histograms (Unequal Class Intervals)
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 3 marks
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The question, in short
Using the histogram of weekly walking times m minutes, with 10 children in the 0–20 class, estimate how many children have 50 < m ≤ 80.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 10−20 bar: frequency density = 10 ÷ 20 = 0.5, drawn 5 small squares tall
- 2So 1 small square = 0.1 frequency density
- 350−60: 10 × 2.9 = 29; 60−75: 15 × 3.2 = 48
- 475−80: 5 × 2.0 = 10
- 529 + 48 + 10 = 87
Answer87
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