4MA1/1HR Jun 2023, Question 22: Histograms (Unequal Class Intervals)
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks
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The question, in short
Using a histogram of concert-goers' ages from 20 to 80 with unequal class widths, estimate the percentage aged over 55, giving the answer to one decimal place.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Area of each bar = class width × height (in squares).
- 2Bars: 5 × 16 = 80, 5 × 50 = 250, 10 × 33 = 330, 10 × 19 = 190, 25 × 9 = 225.
- 3Total area = 80 + 250 + 330 + 190 + 225 = 1075.
- 4Over 55 is the part of the 50−75 bar from 55 to 75: 20 × 9 = 180.
- 5180 ÷ 1075 × 100 = 16.74… = 16.7
Answer16.7
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