Ivan was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 108, 113, 105, 118, 124, 121, 109Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 61How is the median affected by the outlier?
Answer
A
The outlier slightly affected the median.
B
The outlier made the median higher than all the other values.
C
The outlier made the median lower than all the other values.
D
The median is the exact same number in both data sets.
Explanation
Without the outlier, the sorted data have 7 values, so the median is the middle value, 113. With 61 added, the two middle values are 109 and 113, making the median (109 + 113) ÷ 2 = 111. The outlier lowered the median slightly, so choice A, “The outlier slightly affected the median,” is correct.
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