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4024/11 Oct/Nov 2020, Question 10: Mean, Median, Mode and Range

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

From a frequency table of goals in 20 games, find the mode and median, then combine two group means (2 tallest at 75 kg, 8 shortest at 60 kg) to get the mean mass of 10 players.

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Part (ai) · 1 mark

Write down the mode of the number of goals from the frequency table.

  1. 1Highest frequency is 6, for 0 goals
  2. 2Mode = 0

Answer0

Part (aii) · 1 mark

Find the median number of goals for the 20 games.

  1. 1Median is between the 10th and 11th values
  2. 2Cumulative frequencies: 6, 11, … so the 10th and 11th are both 1
  3. 3Median = 1

Answer1

Part (b) · 2 marks

Calculate the mean mass of the 10 players using the two given group means and sizes.

  1. 1Total mass = 2 × 75 + 8 × 60 = 150 + 480 = 630 kg
  2. 2Mean = 630 ÷ 10 = 63 kg

Answer63

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