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0580/21 May/Jun 2021, Question 3: Stem-and-Leaf Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks

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The question, in short

From a stem-and-leaf diagram of study hours for 16 students, 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 hours studied.

  1. 116 values, so the median is halfway between the 8th and 9th values
  2. 28th = 27, 9th = 29
  3. 3Median = (27 + 29) ÷ 2 = 28

Answer28

Part (b) · 1 mark

Find the mode number of hours studied.

  1. 121 appears twice, more than any other value
  2. 2Mode = 21

Answer21

Part (c) · 1 mark

Find the range of the hours studied.

  1. 1Range = 47 − 12
  2. 2= 35

Answer35

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