Given the data 12, 39, 21, 18, 24, 17, 12, 25:
a. what is the outlier in the data?
b. what is the mean with the outlier?
c. what is the mean without the outlier?

(a) No outliers

(b) 21

(c) 21

Explanation:

(a)

The given data set is  

12, 39, 21, 18, 24, 17, 12, 25

Arrange the data in ascending order.

12, 12, 17, 18, 21, 24, 25, 39

Divide the data in 4 equal parts.

(12, 12), (17, 18), (21, 24), (25, 39)  

All the data value lie in the interval [-0.5,39.5].

Therefore the given data set have no outliers.

(b)

Mean of the data with the outliers.

Therefore, mean of the data with the outliers is 21.

(c)

Since the given data set has no outlier, therefore, the mean of the data with the outliers and without outliers is same, i.e., 21.

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