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0580/11 May/Jun 2026, Question 12: Stem-and-Leaf Diagrams

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 5 marks

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The question, in short

Using a stem-and-leaf diagram of 32 plank lengths in cm, find the range, mode, median, and the fraction of planks shorter than 236 cm.

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

Part (a) · 1 mark

Find the range of the plank lengths.

  1. 1Largest = 264, smallest = 233
  2. 2Range = 264 − 233 = 31 cm

Answer31

Part (b) · 1 mark

Find the mode of the plank lengths.

  1. 1241 appears 4 times, more than any other
  2. 2Mode = 241 cm

Answer241

Part (c) · 1 mark

Find the median plank length.

  1. 132 values, so the median is halfway between the 16th and 17th
  2. 216th = 246, 17th = 248
  3. 3Median = 247 cm

Answer247

Part (d) · 2 marks

Find, as a simplified fraction, the proportion of planks under 236 cm.

  1. 1Less than 236: 233, 234, 234, 235 = 4 planks
  2. 2Fraction = 4/32 = 1/8

Answer1/8

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