A-LevelMathematicsProbability and statistics9709/62 · May/June 2017 · Q26 Marks
Anabel measured the lengths, in centimetres, of 200 caterpillars. Her results are illustrated in the cumulative frequency graph below. [Figure below]
- (i)Estimate the median and the interquartile range of the lengths.[3]
- (ii)Estimate how many caterpillars had a length of between 2 and 3.5 cm.[1]
- (iii)6% of caterpillars were of length l centimetres or more. Estimate l.[2]
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 (May/June 2017). The mark or mark type is shown in brackets.
- B1 Accept 3.2 ± 0.05
- M1 UQ-LQ, UQ greater than their 'median', LQ less than their 'median'
- A1 Correct answer from both LQ and UQ in given ranges
- B1 Accept 108 ≤ n ≤ 112, n an integer
- M1 188 seen, can be implied by answer in range, mark on graph.
- A1 Correct answer accept 4.4 ≤ I ≤ 4.5
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