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4MA1/1HR Jun 2020, Question 4: Estimating the Mean for Grouped Data

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

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The question, in short

From a grouped frequency table of 60 students' travel times in minutes, identify the modal class interval and estimate the mean travel time to one decimal place.

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

Part (a) · 1 mark

State which class interval of travel times has the highest frequency.

  1. 1The class with the highest frequency is 30 < t ≤ 40, which has a frequency of 25.

Answer30 < t ≤ 40

Part (b) · 4 marks

Use the grouped data to estimate the mean travel time for the 60 students, giving the result to one decimal place.

  1. 1Midpoints: 5, 15, 25, 35, 45
  2. 25 × 4 = 20
  3. 315 × 10 = 150
  4. 425 × 15 = 375
  5. 535 × 25 = 875
  6. 645 × 6 = 270
  7. 720 + 150 + 375 + 875 + 270 = 1690
  8. 81690 ÷ 60 = 28.166...
  9. 928.2

Answer28.2

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