Discussion
Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
Answer: A
The median is 13.5.
Arrange the ten numbers in order:
9, 10, 11, 11, 13, 14, 15, 17, 18, 69
With an even count, the median is the mean of the two middle values, the 5th and 6th: \((13 + 14)/2 = 13.5\).
14 takes only the 6th value, and 11 is the mode (it appears twice), not the median. 18.7 is the mean, \(187/10\), pulled up by the outlier 69; the median is preferred here exactly because it ignores such an extreme value.
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