0580/41 Oct/Nov 2025, Question 25: Histograms (Unequal Class Intervals)
Cambridge IGCSE Mathematics 0580 · Paper 41 (Extended) · Calculator · 3 marks
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The question, in short
Kai sorts parcels into light and heavy types using mass ranges. A histogram shows one bar for light parcels; find the light parcel count, then use 102 heavy parcels to complete the histogram.
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Part (a) · 1 mark
Use the histogram bar for 0 < m ≤ 2 with frequency density 20 to find the number of light parcels.
- 1Frequency = frequency density × width = 20 × 2 = 40
Answer40
Part (b) · 2 marks
Given 102 heavy parcels, work out frequency densities for the heavy mass intervals and complete the histogram.
- 1Frequency density = 102 ÷ (5 − 2) = 34
- 2Draw a bar from 2 to 5 with height 34
AnswerCorrect column, from 2 to 5 and height 34
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Also searched as: 0580/41/O/N/25 · 0580_w25_qp_41 · 0580 w25 41 · question 25.
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