Question

Select the outlier in the data set.

93
82
10
61
99
89
84
95
75
98
If the outlier were removed from the data set, would the mean increase or decrease?

Answer 1

10

The mean would increase after the outlier is removed

Explanation:

An outlier in a dataset is a number that differs significantly from the other data in the set.

In this question, 10 is the number that differs significantly from the other data in the set. Thus, it is the outlier.

Mean = sum of the numbers / total number

Mean including the outlier =

(93+ 82 + 10 + 61 + 99 + 89 + 84 + 95 + 75 + 98) / 10 = 78.6

Mean without the outlier =

(93+ 82 + 61 + 99 + 89 + 84 + 95 + 75 + 98) / 9 = 86.2

the mean increased after the outlier was removed