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O-LevelMathematicsStatistics4024/23 · May/June 2025 · Q166 Marks

The table gives information about the ages of the 80 members of a gym. Age (a years) | 16 < a ≤ 18 | 18 < a ≤ 24 | 24 < a ≤ 40 | 40 < a ≤ 100 Frequency | 5 | 31 | 19 | 25

  1. (a)Calculate an estimate of the mean age.[4]
  2. (b)Work out the percentage of the members of the gym who are more than 24 years old.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [4] 38.675 oe
  2. M1 for correct midpoints soi
  3. M1 for use of Σfx where x is in the correct interval including boundaries
  4. M1 (dep on 2nd M1) for Σfx ÷ 80
  5. [2] 55
  6. M1 for (19 + 25) / 80 [×100] oe

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About this question

Topic
Statistics, O-Level Mathematics (syllabus 4024). Structured question, 6 marks.
Source
O-Level Mathematics, May/June 2025 Paper 2 Variant 3, question 16.

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