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4MA1/1F Jan 2022, Question 20: Mean, Median, Mode and Range

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 6 marks

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The question, in short

Complete six ordered cards with smallest 5, largest 24, median 14 and mode 8, then find the points scored in a sixth basketball game given mean scores after 5 and 6 games.

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

Part (a) · 3 marks

Fill the four missing ordered card values so the six numbers have smallest 5, largest 24, median 14 and mode 8.

  1. 1With six numbers, the median is the mean of the 3rd and 4th, so they add to 28
  2. 2Mode 8: make the 2nd and 3rd numbers both 8
  3. 34th number = 28 − 8 = 20
  4. 45th number is between 20 and 24, for example 21
  5. 55, 8, 8, 20, 21, 24

Answer5, 8, 8, 20, 21, 24

Part (b) · 3 marks

Using mean 21 after 5 games and mean 23 after 6 games, work out the points scored in game 6.

  1. 1After 5 games, mean score = 21
  2. 2Total points after 5 games = 5 × 21 = 105
  3. 3After 6 games, mean score = 23
  4. 4Total points after 6 games = 6 × 23 = 138
  5. 5Points scored in 6th game = 138 − 105 = 33

Answer33

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