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0580/32 Oct/Nov 2024, Question 5: Pie Charts

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 11 marks

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The question, in short

Use a frequency table for 40 students' guesses and a list of 12 scores to find averages, complete a stem-and-leaf diagram, and finish a pie chart for 30 outcomes.

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

Part (ai) · 1 mark

Find the mode from the guesses frequency table.

  1. 1Highest frequency is 12, for 5 guesses
  2. 2Mode = 5

Answer5

Part (aii) · 3 marks

Calculate the mean number of guesses from the frequency table.

  1. 11×2 + 2×4 + 3×8 + 4×7 + 5×12 + 6×7 = 2 + 8 + 24 + 28 + 60 + 42 = 164
  2. 2Mean = 164 ÷ 40 = 4.1

Answer4.1

Part (bi) · 2 marks

Complete the stem-and-leaf diagram using the 12 given scores, key 1|7 = 17.

  1. 1In order: 10 11 14 17 18 21 24 24 26 27 29 32
  2. 21 | 0 1 4 7 8
  3. 32 | 1 4 4 6 7 9
  4. 43 | 2

Answer| 1 | 0 1 4 7 8 | | 2 | 1 4 4 6 7 9 | | 3 | 2 |

Part (bii) · 1 mark

Find the median of the 12 scores.

  1. 112 scores: median is between the 6th and 7th, 21 and 24
  2. 2(21 + 24) ÷ 2 = 22.5

Answer22.5

Part (c) · 4 marks

Complete the pie chart for win 9, draw 14, lose 7 out of 30 students.

  1. 1360 ÷ 30 = 12° per student
  2. 2Win: 9 × 12 = 108°, Draw: 14 × 12 = 168°, Lose: 7 × 12 = 84°
  3. 3From the radius draw 108° and 168°; the remaining sector is 84°; label each

AnswerCorrect pie chart

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Also searched as: 0580/32/O/N/24 · 0580_w24_qp_32 · 0580 w24 32 · question 5.
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