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O-LevelMathematicsStatistics4024/11 · Oct/Nov 2017 · Q173 Marks

The lengths of 90 leaves of a plant were measured. The results are given in the table. Length (t cm) 0<t≤1 1<t≤2 2<t≤3 3<t≤4 4<t≤5 5<t≤6 Frequency 7 17 29 24 10 3 The diagram shows part of the cumulative frequency curve. [Figure 17]

  1. (a)Complete the cumulative frequency curve.[1]
  2. (b)(i)Use the curve to estimate the median,[1]
  3. (b)(ii)Use the curve to estimate the number of leaves with a length less than 3.5 cm.[1]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

  1. [1] Correct curve from (4, 77) to (6, 90) via (5, 87)
  2. [1] 2.8
  3. [1] 67 or 68

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About this question

Topic
Statistics, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, Oct/Nov 2017 Paper 1 Variant 1, question 17.

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