4MA1/1HR Jan 2021, Question 2: Mean, Median, Mode and Range
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks
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The question, in short
Four whole numbers a, a, b, c with a < b < c have mode 7, median 8.5 and mean 9. Find a, b and c.
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Solution · 4 marks
- 1The mode is 7 and a appears twice, so a = 7
- 2Median = (7 + b) ÷ 2 = 8.5, so b = 10
- 3Mean is 9, so the total is 4 × 9 = 36
- 4c = 36 − 7 − 7 − 10 = 12
- 5a = 7, b = 10, c = 12
Answera = 7, b = 10, c = 12
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