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4MA1/2F Jun 2021, Question 9: Averages from Frequency Tables

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 6 marks

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The question, in short

Using a frequency table for homework pieces received by Year 11 students, find the spread, the most common value, and the average to one decimal place.

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

Part (a) · 2 marks

Calculate the difference between the largest and smallest numbers of pieces of homework in the table.

  1. 1Range = largest value − smallest value (use the homework numbers, not frequencies).
  2. 2Range = 7 − 3 = 4

Answer4

Part (b) · 1 mark

Identify which number of pieces of homework occurs most often according to the frequency table.

  1. 1The highest frequency is 12
  2. 2It belongs to 6 pieces of homework, so the mode is 6

Answer6

Part (c) · 3 marks

Calculate the average number of pieces of homework, giving the result to one decimal place.

  1. 13 × 4 = 12
  2. 24 × 8 = 32
  3. 35 × 10 = 50
  4. 46 × 12 = 72
  5. 57 × 4 = 28
  6. 612 + 32 + 50 + 72 + 28 = 194
  7. 74 + 8 + 10 + 12 + 4 = 38
  8. 8194 ÷ 38 = 5.105...
  9. 95.1

Answer5.1

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