Q:

2. Given the data 14, 26, 23, 19, 24, 46, 15, 21: 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. 14; 20.3; 23.5 B. 14; 23.5; 20.3 C. 46; 20.3; 23.5 D. 46; 23.5; 20.3

Accepted Solution

A:
The answer is D

The outlier is the datum that is unlike the rest. 46 is much bigger than the others, so it's our outlier.

That leaves C and D

A mean with a larger outlier would be bigger than the mean if it were removed.

The only answer in which keeping the outlier yeilds a higher mean is D