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4MA1/2FR Jun 2019, Question 12: 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

From a frequency table of matches in 40 boxes, find the median and the mean number of matches.

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

Part (a) · 2 marks

Find the median number of matches from the grouped frequency data for 40 boxes.

  1. 1There are 40 values, so the median is between the 20th and 21st
  2. 2Values 1 to 13 are 21, values 14 to 21 are 22
  3. 3The 20th and 21st values are both 22
  4. 4Median = 22

Answer22

Part (b) · 3 marks

Calculate the mean number of matches using the frequencies and values given.

  1. 121 × 13 = 273, 22 × 8 = 176, 23 × 8 = 184
  2. 224 × 6 = 144, 25 × 5 = 125
  3. 3Total = 902
  4. 4Mean = 902 ÷ 40 = 22.55

Answer22.55

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