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4MA1/2FR Jun 2022, Question 16: Averages from Frequency Tables

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

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The question, in short

From a frequency table of mobile phones owned by 40 families, find the mode and calculate the mean number of phones.

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

Part (a) · 1 mark

Write down the modal number of mobile phones from the frequency table.

  1. 1The mode is the number of mobile phones with the highest frequency.
  2. 2Highest frequency is 12, which corresponds to 2 mobile phones.

Answer2

Part (b) · 3 marks

Calculate the mean number of mobile phones per family using the table values and frequencies.

  1. 10 × 1 = 0
  2. 21 × 5 = 5
  3. 32 × 12 = 24
  4. 43 × 9 = 27
  5. 54 × 11 = 44
  6. 65 × 2 = 10
  7. 7Sum of (number × frequency) = 0 + 5 + 24 + 27 + 44 + 10 = 110
  8. 8Total number of families = 40
  9. 9Mean = 110 ÷ 40 = 2.75

Answer2.75

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