13
QuizMultiple Choice

Comparing Mean and Median

Question 13 • Concepts in Probability and Statistics A

Zahra was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29Data with an outlier: 15, 19, 22, 26, 29, 81How is the median affected by the outlier?

Answer
A
The outlier slightly affected the median.
B
The outlier made the median much higher than all the other values.
C
The outlier made the median much lower than all the other values.
D
The median is the exact same number in both data sets.

Explanation

The first data set has 5 values, so its median is the middle value, 22. With 81 included, there are 6 values, so the median is the average of the two middle values: (22 + 26) ÷ 2 = 24. The outlier raises the median only from 22 to 24, so it slightly affected the median; it did not make the median much higher than the other values.

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