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4024/12 Oct/Nov 2024, Question 25: Histograms (Unequal Class Intervals)

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Using the grouped times for 110 students, work out frequency densities and complete the histogram, where the 0 < t ≤ 5 bar already has height 6.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 3 marks

  1. 1Frequency density = frequency ÷ class width
  2. 25 < t ≤ 10: 25 ÷ 5 = 5; 10 < t ≤ 20: 35 ÷ 10 = 3.5; 20 < t ≤ 40: 20 ÷ 20 = 1
  3. 3Draw bars of heights 5, 3.5 and 1 over 5−10, 10−20 and 20−40

AnswerCorrect complete histogram

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Also searched as: 4024/12/O/N/24 · 4024_w24_qp_12 · 4024 w24 12 · question 25.
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