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0580/13 May/Jun 2026, Question 7: Mean, Median, Mode and Range

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 6 marks

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The question, in short

For eight midday temperatures in °C, work out the average, the middle value, and the two temperatures that would raise the range by 5.

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

Part (a) · 2 marks

Work out the average of the eight temperatures.

  1. 1Total = 1 + 10 + 8 − 3 − 2 + 10 + 7 + 9 = 40
  2. 2Mean = 40 ÷ 8 = 5 °C

Answer5

Part (b) · 2 marks

Work out the middle value of the eight temperatures.

  1. 1In order: −3, −2, 1, 7, 8, 9, 10, 10
  2. 2Middle two values are 7 and 8
  3. 3Median = (7 + 8) ÷ 2 = 7.5 °C

Answer7.5

Part (c) · 2 marks

A ninth temperature makes the range 5 larger; find both possible values.

  1. 1Range = 10 − (−3) = 13
  2. 2New range = 13 + 5 = 18
  3. 3Lower: 10 − 18 = −8
  4. 4Higher: −3 + 18 = 15

Answer−8 or 15

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