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4MA1/1FR Jun 2023, Question 11: Averages from Frequency Tables

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 5 marks

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The question, in short

From a frequency table for 30 students' cousin counts, find the spread, the most common value, and the average number of cousins.

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

Part (a) · 1 mark

Find the difference between the largest and smallest cousin counts.

  1. 15 − 0 = 5

Answer5

Part (b) · 1 mark

State which cousin count occurs most often.

  1. 1The value with the highest frequency is 3

Answer3

Part (c) · 3 marks

Calculate the average cousin count using the frequencies and totals.

  1. 10 × 3 = 0
  2. 21 × 7 = 7
  3. 32 × 6 = 12
  4. 43 × 11 = 33
  5. 54 × 1 = 4
  6. 65 × 2 = 10
  7. 70 + 7 + 12 + 33 + 4 + 10 = 66
  8. 866 ÷ 30 = 2.2

Answer2.2

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