4024/11 Oct/Nov 2020, Question 19: Histograms (Unequal Class Intervals)
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Using the grouped times and frequencies in the table, draw a histogram on the given grid with frequency density on the vertical axis and time in minutes on the horizontal axis.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Frequency density = frequency ÷ class width
- 216 ÷ 10 = 1.6, 15 ÷ 5 = 3, 10 ÷ 5 = 2, 12 ÷ 20 = 0.6
- 3Draw bars on bases 10−20, 20−25, 25−30, 30−50 with these heights, no gaps
AnswerHistogram with correct frequency densities 1.6, 3, 2, 0.6 and correct rectangle bases 10 to 20, 20 to 25, 25 to 30, 30 to 50
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