The outlier in the data set is -6.
To find out how it affects the mean, we need to calculate the mean with and without the outlier.
Mean with outlier:
(4 + 4 - 6 - 2 + 14 + 1 + 1) / 7 = 2
Mean without outlier:
(4 + 4 - 2 + 14 + 1 + 1) / 6 = 4
Comparing the two means, we can see that the outlier significantly lowers the mean.
Therefore, the answer is B. -6; it lowers the mean by about 1.
Find the outlier in the data set and tell how it affects the mean.
4, 4, –6, –2, 14, 1, 1
A. –6; it raises the mean by about 1.
B. –6; it lowers the mean by about 1.
C. 14; it raises the mean by about 1.9.
D. 14; it lowers the mean by about 1.9.
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