4MA1/1H Jun 2023, Question 10: Finding the Median and Quartiles
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 2 marks
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The question, in short
From the list of 15 student test marks, work out the interquartile range.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 2 marks
- 1Order the data: 7, 10, 14, 15, 16, 17, 18, 19, 20, 20, 23, 25, 30, 39, 40
- 2Find median position: (15 + 1) / 2 = 8th value → 19
- 3Lower quartile (Q1) position: (15 + 1) / 4 = 4th value → 15
- 4Upper quartile (Q3) position: 3 × (15 + 1) / 4 = 12th value → 25
- 5Interquartile range = Q3 − Q1 = 25 − 15 = 10
Answer10
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