4MA1/2F Jun 2022, Question 17: Mean, Median, Mode and Range
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 3 marks
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The question, in short
Six integers a < b < c < d with d repeated three times have mode 9, median 8 and range 4; find a, b, c and d.
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Solution · 3 marks
- 1Mode is 9, so d = 9 (it appears three times)
- 2Median of six numbers = (c + d) ÷ 2 = 8, so c + 9 = 16 and c = 7
- 3Range: d − a = 4, so a = 9 − 4 = 5
- 4b is between 5 and 7, so b = 6
- 5a = 5, b = 6, c = 7, d = 9
Answera = 5, b = 6, c = 7, d = 9
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