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4MA1/1F Jun 2019, Question 7: Mean, Median, Mode and Range

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 6 marks

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The question, in short

Using the 11 listed shoe sizes, find the mode, range and median, then decide whether combining Tuesday morning's mean price of £34 with two afternoon prices of £31 and £49 gives an overall mean above or below £34, with a reason.

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

Part (a) · 1 mark

State the most frequently occurring shoe size in the list of 11 values.

  1. 1The most frequent shoe size is 4.

Answer4

Part (b) · 2 marks

Calculate the difference between the largest and smallest shoe sizes.

  1. 1Largest value is 10, smallest is 4.
  2. 210 − 4 = 6

Answer6

Part (c) · 2 marks

Determine the middle value of the 11 shoe sizes when put in order.

  1. 1Order the data: 4, 4, 4, 4, 4, 5, 7, 7, 7, 8, 10
  2. 2The middle value (6th in order) is 5

Answer5

Part (d) · 1 mark

Compare the overall mean price of all Tuesday sales with £34, justifying using the two afternoon prices.

  1. 1Mean of the afternoon pairs = (31 + 49) ÷ 2 = £40
  2. 2£40 is more than £34, so it pulls the mean up
  3. 3More, because the mean of the two afternoon pairs is £40, which is more than £34

AnswerMore, because the mean of the two afternoon pairs is £40, which is more than £34

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