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QuizMultiple Choice

Comparing Mean and Median

Question 1 • Concepts in Probability and Statistics A

Using the set of data below, which statements are true? Check all that apply. 13, 11, 16, 12, 42, 8

Answer
A
The mean of this data set is 17.
B
The median is 12.5.
C
The median is 14.5.
D
The mean is more affected by the outlier.
E
The median is more affected by the outlier.
F
The mean of this data set is 12.

Explanation

The values add to 102, and 102 ÷ 6 = 17, so the mean is 17. In order, the data are 8, 11, 12, 13, 16, 42; the median is the average of the two middle values, (12 + 13) ÷ 2 = 12.5. The outlier 42 pulls the mean upward, while the median depends on the middle values, so the mean is more affected by the outlier.

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