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O-LevelMathematicsStatistics4024/12 · May/June 2018 · Q165 Marks

The masses of 200 beetles were measured. The results are summarised in the cumulative frequency table and part of the cumulative frequency curve is drawn. Mass (m grams): m ≤ 0.5, m ≤ 1, m ≤ 1.5, m ≤ 2, m ≤ 2.25, m ≤ 2.5, m ≤ 3 Cumulative frequency: 0, 25, 75, 150, 170, 185, 200

  1. (a)Complete the cumulative frequency curve.[1]
  2. (b)(i)Use the curve to find an estimate for the median,[1]
  3. (b)(ii)the lower quartile,[1]
  4. (b)(iii)the number of beetles that have a mass greater than 1.85 grams.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

  1. [1] Correct completion of the curve
  2. [1] 1.7
  3. [1] 1.3
  4. [1] B1 for 125 seen or SC1 for answer 74 or 76
  5. [1] 75

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About this question

Topic
Statistics, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source
O-Level Mathematics, May/June 2018 Paper 1 Variant 2, question 16.

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