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4MA1/2F Jun 2018, Question 22: Mean, Median, Mode and Range

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 7 marks

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The question, in short

Two classes of 28 and 32 students sit a test; combined mean is 72.6 and Class A's mean is 75. Find Class B's mean, then the overall range using each class's lowest score and range.

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Part (a) · 4 marks

Given 28 students in Class A with mean 75 and 32 in Class B, with overall mean 72.6, calculate the mean score for Class B.

  1. 1Total of all scores = (28 + 32) × 72.6 = 4356
  2. 2Total for Class A = 28 × 75 = 2100
  3. 3Total for Class B = 4356 − 2100 = 2256
  4. 4Mean for Class B = 2256 ÷ 32 = 70.5

Answer70.5

Part (b) · 3 marks

Class A: lowest 39, range 57. Class B: lowest 33, range 60. Determine the range of scores across all 60 students.

  1. 1Highest in Class A = 39 + 57 = 96; highest in Class B = 33 + 60 = 93
  2. 2Highest overall is 96 and lowest overall is 33
  3. 3Range = 96 − 33 = 63

Answer63

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