4024/22 May/Jun 2026, Question 16: Mean from grouped data
Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 4 marks
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The question, in short
60 car speeds are grouped as 20–24 km/h (4 cars), 24–40 (22 cars), 40–58 (28 cars) and 58–70 (6 cars). Estimate the mean speed.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1Midpoints: 22, 32, 49, 64
- 2Σfs = 22 × 4 + 32 × 22 + 49 × 28 + 64 × 6
- 3= 88 + 704 + 1372 + 384 = 2548
- 4Mean = 2548 ÷ 60 = 42.466…
- 5≈ 42.5 km/h
Answer42.5 or 42.46 to 42.47
Stuck on a step? Read the free lesson: Estimating the Mean for Grouped Data
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