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O-LevelMathematicsStatistics4024/22 · May/June 2025 · Q187 Marks

300 students take part in a competition. The table shows information about their scores. Score (s) | 0 < s ≤ 30 | 30 < s ≤ 40 | 40 < s ≤ 60 | 60 < s ≤ 70 | 70 < s ≤ 100 Frequency | 24 | 70 | 88 | 76 | 42

  1. (a)Calculate an estimate of the mean score.[4]
  2. (b)On the grid, complete the histogram to represent the data in the table. [Figure showing a grid with a partially drawn histogram][3]

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Mark scheme

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

  1. [4] M1 for correct midpoints soi M1 for Σfx where their x needs to be within interval or on boundary M1dep (on 2nd M1) for their Σfx ÷ 300
  2. [3] B2 for 3 correct bars or B1 for 2 correct bars If 0 scored, SC1 for 3 correct frequency densities soi

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About this question

Topic
Statistics, O-Level Mathematics (syllabus 4024). Structured question, 7 marks.
Source
O-Level Mathematics, May/June 2025 Paper 2 Variant 2, question 18.

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