Question

When the outliers are removed, how does the mean change?

Answer 1

Answer:

The mean remains the same.

Step-by-step explanation:

15  and 35 are our outliers, so if you add everything you get 150, and divide it by 6 to get the mean, you get 25. now remove the outliers. you add 23, 24, 26, 27 to get 100. divide that and you get 25. thus the mean remains the same.

Answer 2

In statistics, an outlier is an observation point that is distant from other observations.

Given the points
15, 23, 24, 26, 27 and 35

Notice, that the points 15 and 35 are distance from the other points and hence are outliers.

The mean of the observations including the outliers is given by
$\frac{15+23+24+26+27+35}{6} = \frac{150}{6} =25$

The mean of the observations without the outliers is given by
$\frac{23+24+26+27}{4} = \frac{100}{4} =25$

Therefore, when the outliers are removed, the mean remains the same.