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4MA1/2FR Jun 2018, Question 9: Averages from Frequency Tables

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 5 marks

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The question, in short

Using a frequency table for goals scored in 20 football matches, find the mode, the median, and the total number of goals.

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

Part (a) · 1 mark

State the most frequent number of goals from the table.

  1. 1The frequency is highest for 2 goals, which occurs 7 times.

Answer2

Part (b) · 2 marks

Find the median number of goals scored across the 20 matches.

  1. 1There are 20 values, so the median is halfway between the 10th and 11th values
  2. 220 ÷ 2 = 10, so find the 10th and 11th values in order
  3. 36 matches with 0 goals fill positions 1 to 6
  4. 46 + 5 = 11, so the next 5 matches, positions 7 to 11, all have 1 goal
  5. 5The 10th and 11th values are both 1
  6. 6Median = 1

Answer1

Part (c) · 2 marks

Calculate the total number of goals scored by the team.

  1. 1(6 × 0) = 0
  2. 2(5 × 1) = 5
  3. 3(7 × 2) = 14
  4. 4(1 × 3) = 3
  5. 5(0 × 4) = 0
  6. 6(1 × 5) = 5
  7. 70 + 5 + 14 + 3 + 0 + 5 = 27

Answer27

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