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4MA1/2F Jun 2020, Question 16: Estimating the Mean for Grouped Data

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

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The question, in short

From a grouped frequency table of times 120 customers spent in a supermarket, identify the modal class and estimate the mean time.

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

Part (a) · 1 mark

State which of the given time intervals has the highest frequency.

  1. 1The class with the highest frequency is 50 < L ≤ 60, which has a frequency of 40.

Answer50 < L ≤ 60

Part (b) · 4 marks

Using midpoints of the intervals and the frequencies, calculate an estimate of the mean time for the 120 customers.

  1. 1Midpoints: 25, 35, 45, 55, 65
  2. 225 × 6 + 35 × 26 + 45 × 31 = 150 + 910 + 1395
  3. 355 × 40 + 65 × 17 = 2200 + 1105
  4. 4Total = 5760
  5. 5Mean = 5760 ÷ 120 = 48

Answer48

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