A-LevelMathematicsProbability and statistics9709/62 · Oct/Nov 2017 · Q25 Marks
The circumferences, ccm, of some trees in a wood were measured. The results are summarised in the table. Circumference (c cm) 40 < c ≤ 50 | 50 < c ≤ 80 | 80 < c ≤ 100 | 100 < c ≤ 120 Frequency 14 | 48 | 70 | 8
- (i)On the grid, draw a cumulative frequency graph to represent the information.[3]
- (ii)Estimate the percentage of trees which have a circumference larger than 75 cm.[2]
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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.
- B1 Correct cfs values seen listed, in or by table or on graph, 0 not required
- B1 Axes labelled ‘cumulative frequency' (or cf) and ‘circumference [or cir or c etc.] (in) cm'. Linear scales - c.f. 0–140 circumference 40–120 (ignore <40 on circ.) At least 3 values stated on each axis, but (0,0) can be implied without stating.
- B1 All points plotted accurately
- M1 Finding correct value from graph (checked ±1 mm) or linear interpolation. Subtraction from 140 can be implied
- A1 60.5% < Ans < 64.5%
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