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0580/12 Feb/Mar 2024, Question 7: Mean, Median, Mode and Range

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 2 marks

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The question, in short

Seven numbers are given and the range of all eight is 31. Find the two possible values of the missing eighth number.

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Solution · 2 marks

  1. 1Smallest of the seven = 16, largest = 42 (difference 26, less than 31)
  2. 2Eighth number as new largest: 16 + 31 = 47
  3. 3Eighth number as new smallest: 42 − 31 = 11
  4. 411 or 47

Answer11, 47

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