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0580/12 Oct/Nov 2025, Question 11: Expressing One Quantity as a Percentage

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 6 marks

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The question, in short

Use a stem-and-leaf diagram of customers over 20 days to find range, mode, a percentage above 55, and median, then decide how adding 48 affects the median.

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 number of customers from the diagram.

  1. 1Range = 72 − 30 = 42

Answer42

Part (b) · 1 mark

Find the mode of the number of customers.

  1. 154 appears three times, so mode = 54

Answer54

Part (c) · 2 marks

Work out the percentage of the 20 days with more than 55 customers.

  1. 1More than 55: 57, 58, 63, 66, 66, 72 = 6 days
  2. 26/20 × 100 = 30%

Answer30

Part (di) · 1 mark

Find the median number of customers.

  1. 120 values: median is halfway between the 10th and 11th, 51 and 53
  2. 2Median = (51 + 53)/2 = 52

Answer52

Part (dii) · 1 mark

State whether adding a day with 48 customers increases or decreases the median, with a reason.

  1. 148 is below the median of 52, so the middle values move down
  2. 2The median will decrease

AnswerDecrease because 48 is below the median

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