Question

Identify the outlier in the data set 6, 9, 3, 2, 10, 138, 13. Then, find the mean with and without the outlier. If necessary, round your answers to the nearest tenth.

A.) Outlier = 6 Mean with outlier = 25.9 Mean without outlier = 40.4

B.) Outlier = 138 Mean with outlier = 25.9 Mean without outlier = 7.2

C.) Outlier = 6 Mean with outlier = 9 Mean without outlier = 7.5

D.) Outlier = 138 Mean with outlier = 7.2 Mean without outlier = 25.9

Answer 1

138 is the outlier since it is more than 1.5 * IQR past the third quartile of the data set.

With this upper outlier, the mean will be significantly higher. Without it, it will lower back down, so B is your answer