The masses of 120 cereal packets were measured. The results are summarised in the cumulative frequency diagram. [Figure X.X - cumulative frequency graph]
- (a)Use the diagram to estimate
- (a)(i)the median,[1]
- (a)(ii)the interquartile range.[2]
- (b)The measuring scales used were faulty. The measured masses were all 0.8 g more than the actual masses. Write down the median and the interquartile range of the actual masses.[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 (Oct/Nov 2019). The mark or mark type is shown in brackets.
- [1] 501
- [2] 1.6
- B1 for [UQ =]502 or for [LQ =]500.4
- [2] Median = 500.2 and IQR = 1.6
- Strict FT for median = their (a)(i) - 0.8
- and IQR = their (a)(ii)
- or B1FT for either
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