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4024/13 May/Jun 2026, Question 3: Mean, Median, Mode and Range

Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 6 marks

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The question, in short

For ten offices' meeting room counts 6, 7, 8, 40, 4, 4, 3, 8, 4, 6, find the mode, mean and median, and say why the mean misrepresents the data.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

State the mode of the ten meeting room counts.

  1. 14 appears three times, more than any other value
  2. 2Mode = 4

Answer4

Part (b) · 2 marks

Work out the mean number of meeting rooms across the ten offices.

  1. 1Total = 3 + 4 + 4 + 4 + 6 + 6 + 7 + 8 + 8 + 40 = 90
  2. 2Mean = 90 ÷ 10 = 9

Answer9

Part (c) · 2 marks

Find the median of the ten meeting room counts.

  1. 1In order: 3, 4, 4, 4, 6, 6, 7, 8, 8, 40
  2. 2Middle pair: 6 and 6
  3. 3Median = 6

Answer6

Part (d) · 1 mark

Give a reason the mean poorly represents the typical number of meeting rooms.

  1. 140 is an outlier, much bigger than the other values
  2. 2It makes the mean (9) larger than 9 of the 10 values

AnswerCorrect explanation e.g. 9 values are below the mean or 40 is an outlier

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