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0580/43 May/Jun 2023, Question 2: Stem-and-Leaf Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 8 marks

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The question, in short

From 14 daily message counts, complete a stem-and-leaf diagram, find median, mode and range, then work out the probability Anna and Pete both pick grey phones from 4 red and 8 grey.

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

Part (ai) · 3 marks

Complete the stem-and-leaf diagram for the 14 values, including the key.

  1. 1Order the data: 13, 15, 17, 18, 21, 21, 22, 27, 28, 29, 31, 31, 31, 38
  2. 2Stem 1: 3 5 7 8
  3. 3Stem 2: 1 1 2 7 8 9
  4. 4Stem 3: 1 1 1 8
  5. 5Key: 1 | 7 represents 17

Answer1 | 3 5 7 8; 2 | 1 1 2 7 8 9; 3 | 1 1 1 8; Key: 1 | 7 represents 17 messages

Part (aii) · 1 mark

Find the median of the 14 message counts.

  1. 114 values, so median is halfway between the 7th and 8th
  2. 27th = 22, 8th = 27
  3. 3Median = (22 + 27)/2 = 24.5

Answer24.5

Part (aiii) · 1 mark

Find the mode of the message counts.

  1. 131 appears three times, more than any other value
  2. 2Mode = 31

Answer31

Part (aiv) · 1 mark

Find the range of the message counts.

  1. 1Range = 38 − 13
  2. 2= 25

Answer25

Part (b) · 2 marks

Work out the probability that Anna and Pete both pick a grey phone from 4 red and 8 grey.

  1. 1P(first grey) = 8/12
  2. 2P(second grey) = 7/11 (without replacement)
  3. 38/12 × 7/11 = 56/132 = 14/33

Answer14/33

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Also searched as: 0580/43/M/J/23 · 0580_s23_qp_43 · 0580 s23 43 · question 2.
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