4MA1/2F Jun 2025, Question 18: 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
Rio has six ordered cards with range 10, median 7.5 and mode 6; three numbers are shown as 6, 10 and 14. Find the three hidden numbers.
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Solution · 3 marks
- 1Range 10: smallest = 14 − 10 = 4
- 2Mode 6: the 2nd card must also be 6
- 3Median 7.5 is the mean of the 3rd and 4th cards
- 46 + 4th = 2 × 7.5 = 15, so 4th card = 9
- 5Cards: 4, 6, 6, 9, 10, 14
Answer4, 6, 9
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