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0580/43 Oct/Nov 2025, Question 2: Expressing One Quantity as a Percentage

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 4 marks

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The question, in short

Use a stem-and-leaf diagram of 16 adults' ages to find the mode, the median, and the percentage aged under 38 years.

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

Part (a) · 1 mark

Identify the most frequently occurring age from the stem-and-leaf diagram.

  1. 151 appears three times, more than any other age
  2. 2Mode = 51 years

Answer51

Part (b) · 1 mark

From the listed 16 ages, determine the median age.

  1. 116 values, so the median is halfway between the 8th and 9th values
  2. 28th = 41, 9th = 45
  3. 3Median = (41 + 45)/2 = 43 years

Answer43

Part (c) · 2 marks

Calculate the percentage of the 16 adults whose age is below 38 years.

  1. 1Ages less than 38: 32, 33, 33, 35, 36, 37 → 6 adults
  2. 26/16 × 100 = 37.5%

Answer37.5

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