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4MA1/2F Jan 2023, Question 10: Averages from Frequency Tables

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

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The question, in short

Use the frequency table for 21 cookery class members and their cookie counts to find the mode, the median, and the total number of cookies made.

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 cookies made from the table.

  1. 1The frequency for 11 is 7, which is the highest frequency.
  2. 2So the mode is 11.

Answer11

Part (b) · 2 marks

Determine the median number of cookies made by the 21 people.

  1. 1There are 21 people, so the median is in the (21 + 1) ÷ 2 = 11th position.
  2. 2List the number of cookies in order: 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15.
  3. 3The 11th value is 13.
  4. 4So the median is 13.

Answer13

Part (c) · 2 marks

Calculate the total number of cookies made by all 21 people.

  1. 1Calculate the total: 10 × 1 = 10
  2. 211 × 7 = 77
  3. 312 × 2 = 24
  4. 413 × 5 = 65
  5. 514 × 4 = 56
  6. 615 × 2 = 30
  7. 7Add them: 10 + 77 + 24 + 65 + 56 + 30 = 262
  8. 8So the total number of cookies made is 262.

Answer262

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