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0580/11 May/Jun 2022, Question 17: Averages from Frequency Tables

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 4 marks

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The question, in short

From a table of 63 spins of a 6-sided spinner numbered 1 to 6, find the relative frequency of a 5 and work out the mean score.

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Part (a) · 1 mark

Find the relative frequency of scoring a 5 using the frequency table.

  1. 1Relative frequency = 8/63

Answer8/63 or 0.127 or 12.7%

Part (b) · 3 marks

Work out the mean score from the spinner frequencies.

  1. 1Σfx = 1×12 + 2×7 + 3×15 + 4×11 + 5×8 + 6×10
  2. 2= 12 + 14 + 45 + 44 + 40 + 60 = 215
  3. 3Mean = 215 ÷ 63 = 3.412… ≈ 3.41

Answer3.41 or 3.412 to 3.413

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