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4024/12 Oct/Nov 2020, Question 16: Histograms (Unequal Class Intervals)

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 2 marks

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The question, in short

Using the frequency table and histogram for plant heights, find the unknown frequency p and finish drawing the histogram.

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

Part (a) · 1 mark

Use the histogram bar for 15 < h ≤ 25 to determine the value of p.

  1. 1Bar for 15 < h ≤ 25 has frequency density 4 and width 10
  2. 2p = 4 × 10 = 40

Answer40

Part (b) · 1 mark

Complete the histogram by drawing the missing bar for 25 < h ≤ 40.

  1. 1Frequency density = 30 ÷ (40 − 25) = 30 ÷ 15 = 2
  2. 2Draw a bar from h = 25 to h = 40 with height 2

AnswerRectangle: base 25 to 40, height 2

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Also searched as: 4024/12/O/N/20 · 4024_w20_qp_12 · 4024 w20 12 · question 16.
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