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4MA1/2HR Jun 2023, Question 14: Finding the Median and Quartiles

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks

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The question, in short

From Akari's eleven game scores, find the interquartile range, then compare consistency with Machi whose interquartile range is 9.

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Part (a) · 3 marks

Calculate the interquartile range of the eleven scores 25, 20, 28, 27, 26, 22, 23, 29, 20, 29, 26.

  1. 120 20 22 23 25 26 26 27 28 29 29
  2. 2Position of lower quartile = (11 + 1) / 4 = 3rd value → 22
  3. 3Position of upper quartile = 3 × (11 + 1) / 4 = 9th value → 28
  4. 4Interquartile range = 28 − 22 = 6

Answer6

Part (b) · 1 mark

Decide whether Akari or Machi had more consistent scores, giving a reason using the interquartile ranges.

  1. 1Akari has the more consistent scores because her interquartile range is 6, which is smaller than Machi’s interquartile range of 9

AnswerAkari

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