Question 2 • Concepts in Probability and Statistics A
In order, the scores are 62, 88, 89, 90, 92, 95, 96, 98, 100, 100. The range is 100 − 62 = 38; without 62, it is 100 − 88 = 12. The lower and upper halves have medians 89 and 98, so the interquartile range is 98 − 89 = 9. Without 62, the quartiles are 89.5 and 99, giving an interquartile range of 9.5. Thus, the outlier changes the range much more than the interquartile range.
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