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0580/42 May/Jun 2026, Question 2: Averages from a frequency table

Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 5 marks

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The question, in short

40 students borrowed books: 5 borrowed 0, 14 borrowed 1, 10 borrowed 2, 8 borrowed 3, 1 borrowed 4 and 2 borrowed 5. Find the mode, the median and the mean number of books.

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Part (a) · 1 mark

Find the mode.

  1. 1The highest frequency is 14
  2. 2Mode = 1

Answer1

Part (b) · 1 mark

Find the median.

  1. 1Median is between the 20th and 21st values
  2. 2Cumulative: 5, 19, 29, …
  3. 320th and 21st values are both 2
  4. 4Median = 2

Answer2

Part (c) · 3 marks

Work out the mean.

  1. 1Σfx = 0 + 14 + 20 + 24 + 4 + 10 = 72
  2. 2Mean = 72 ÷ 40
  3. 3= 1.8

Answer1.8 or 1 4/5

Stuck on a step? Read the free lesson: Averages from Frequency Tables

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