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4MA1/1HR Jun 2024, Question 10: Finding the Median and Quartiles

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 2 marks

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The question, in short

For the 11 listed goal totals, calculate the interquartile range of the data set.

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

Solution · 2 marks

  1. 1Order the data: 0, 1, 2, 2, 3, 4, 4, 6, 7, 9, 11
  2. 2Find median position: (11 + 1) / 2 = 6th value → 4
  3. 3Lower quartile (Q1) is the median of the first half: 3rd value → 2
  4. 4Upper quartile (Q3) is the median of the second half: 9th value → 7
  5. 5Interquartile range = Q3 − Q1 = 7 − 2 = 5

Answer5

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