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4MA1/1HR Jun 2018, Question 17: Histograms (Unequal Class Intervals)

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 3 marks

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The question, in short

Using the grouped area and frequency table for Spanish farms, draw a histogram on the given grid with frequency density against area in hectares.

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. 240 ÷ 20 = 2, 90 ÷ 30 = 3, 140 ÷ 50 = 2.8
  3. 3140 ÷ 200 = 0.7, 40 ÷ 50 = 0.8
  4. 4Draw bars over each class at heights 2, 3, 2.8, 0.7, 0.8

AnswerBars at frequency density 2 from 0 to 20, 3 from 20 to 50, 2.8 from 50 to 100, 0.7 from 100 to 300, 0.8 from 300 to 350

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