Fredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play. Which statements are correct? Check all that apply. Fredrick’s data set contains an outlier.The median value is 12 home runs. The mean value is about 12.6 home runs.The median describes Fredrick’s data more accurately than the mean.The mean value stays the same when the outlier is not included in the data set.
Answer
A
Fredrick’s data set contains an outlier.
B
The median value is 12 home runs.
C
The mean value is about 12.6 home runs.
D
The median describes Fredrick’s data more accurately than the mean.
E
The mean value stays the same when the outlier is not included in the data set.
Explanation
The value 1 is far below the other home-run totals, so the data set contains an outlier. The total is 126, and 126 ÷ 10 = 12.6, making the mean about 12.6 home runs. In order, the values are 1, 12, 12, 12, 13, 13, 14, 15, 16, 18, so the median is (13 + 13) ÷ 2 = 13, not 12. Because the outlier pulls the mean down, the median describes the typical season more accurately. Removing 1 changes the mean to 125 ÷ 9, so it does not stay the same.
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