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0580/11 May/Jun 2021, Question 4: Stem-and-Leaf Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks

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The question, in short

From a stem-and-leaf diagram of study hours for 16 students, with key 1|2 meaning 12 hours, find the median, the mode and the range.

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 study hours from the 16 values in the diagram.

  1. 116 values, so median = (8th + 9th)/2
  2. 28th = 27, 9th = 29
  3. 3Median = (27 + 29)/2 = 28 hours

Answer28

Part (b) · 1 mark

Find the mode of the study hours shown in the stem-and-leaf diagram.

  1. 121 appears twice, all others once: mode = 21 hours

Answer21

Part (c) · 1 mark

Find the range of the study hours shown in the diagram.

  1. 1Range = 47 − 12 = 35 hours

Answer35

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Also searched as: 0580/11/M/J/21 · 0580_s21_qp_11 · 0580 s21 11 · question 4.
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