A-LevelMathematicsProbability and statistics9709/62 · Oct/Nov 2019 · Q14 Marks
Twelve tourists were asked to estimate the height, in metres, of a new building. Their estimates were as follows. 50 45 62 30 40 55 110 38 52 60 55 40
- (i)Find the median and the interquartile range for the data.[3]
- (ii)Give a disadvantage of using the mean as a measure of the central tendency in this case.[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.
- [B1] Median = 51
- [M1] 55 < UQ < 62 – 38 < LQ < 45
- [A1] NFWW 17.5
- [B1] Affected by an extreme/large value There is a large outlier ...contains outliers such as 110... Not 'mean affected by extreme values'
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