4MA1/2H Jan 2019, Question 19: Histograms (Unequal Class Intervals)
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Using the histogram of waiting times at a Post Office, estimate what fraction of the people waited more than 20 minutes to be served.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Frequency = frequency density × class width
- 2Frequencies: 2.5×2 = 5, 4×3 = 12, 3.4×5 = 17, 2.2×5 = 11, 1×15 = 15
- 3Total = 5 + 12 + 17 + 11 + 15 = 60
- 4Longer than 20 minutes: 1 × (30 − 20) = 10
- 5Proportion = 10/60 = 1/6
Answer1/6
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