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0580/33 May/Jun 2021, Question 2: Pie Charts

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 6 marks

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The question, in short

From two four-faced dice numbered 1 to 4, use Mei's pie chart with a 76° sector for 1 and Jian's pie chart to find mode, count of 1s, median, and compare results.

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

Part (ai) · 1 mark

State the mode of Mei's 90 scores from her pie chart.

  1. 1The largest sector in Mei's pie chart is 3
  2. 2Mode = 3

Answer3

Part (aii) · 2 marks

Calculate how many of Mei's 90 throws scored 1, using the 76° sector.

  1. 1Number of 1s = 76/360 × 90 = 19

Answer19

Part (b) · 1 mark

State the median of Jian's 90 scores from his pie chart.

  1. 1Sector 1 is less than half the circle, but sectors 1 and 2 together are more than half
  2. 2So the middle (45th and 46th) scores are 2: median = 2

Answer2

Part (c) · 2 marks

Give two different comparisons between Mei's results and Jian's results.

  1. 11. Mei's median is 3 but Jian's median is 2
  2. 22. Mei's mode is 3 but Jian's mode is 1 (Jian scored more 1s than Mei)

AnswerAny two different comparisons, e.g. 1. Mei has median 3 and Jian has median 2, or Mei has mode 3 and Jian has mode 1 2. Mei has larger 2 and 3 sectors than Jian, or Jian has larger 1 and 4 sectors than Mei

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Also searched as: 0580/33/M/J/21 · 0580_s21_qp_33 · 0580 s21 33 · question 2.
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