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0580/13 Oct/Nov 2024, Question 13: Averages from Frequency Tables

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 4 marks

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The question, in short

A class of 20 students records coins in pockets, given as a frequency table for 0 to 6 coins. Find the median and calculate the mean.

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

Part (a) · 1 mark

Find the median number of coins from the frequency table for the 20 students.

  1. 120 values: median is the mean of the 10th and 11th
  2. 2Cumulative frequencies 3, 4, 11: the 10th and 11th are both 2
  3. 3Median = 2

Answer2

Part (b) · 3 marks

Calculate the mean number of coins using the values and their frequencies.

  1. 1Σfx = 0 × 3 + 1 × 1 + 2 × 7 + 3 × 8 + 4 × 0 + 5 × 0 + 6 × 1 = 1 + 14 + 24 + 6 = 45
  2. 2Mean = 45 ÷ 20 = 2.25

Answer2.25

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