Question

Does removing the outlier from Gretchen’s data move the center and spread values closer to or farther away from Manuel’s data values?

a. Closer
b. Farther away
c. No change
d. all of the above

Answer 1

Removing the outlier from Gretchen's data moves the center and spread values closer to Manuel's data values.

Step-by-step explanation:

The removal of the outlier from Gretchen's data will move the center and spread values closer to Manuel's data values.

When an outlier is present, it can heavily influence the calculations of center and spread. By removing the outlier, the extreme value will no longer impact the calculations, resulting in a more representative center and spread.

For example, if Gretchen's data had a single outlier that was much larger or smaller than the rest of the data, it would significantly skew the mean and standard deviation. However, by removing the outlier, the mean and standard deviation would be closer to the values calculated from Manuel's data.