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]
- (a)Complete the cumulative frequency curve.[1]
- (b)(i)Use the curve to estimate the median,[1]
- (b)(ii)Use the curve to estimate the number of leaves with a length less than 3.5 cm.[1]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.
- [1] Correct curve from (4, 77) to (6, 90) via (5, 87)
- [1] 2.8
- [1] 67 or 68
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