Question

Opal is collecting data on water levels in different parts of town. She notices that her sample data has a low-value outlier. Which statement must be true?

A. Removing the outlier will not change the spread of the graph of the data set.
B. Removing the outlier will not change the variance of the data set.
C. Removing the outlier will increase the variance of the data set.
D. Removing the outlier will decrease the spread of the graph of the data set.

Answer 1

D. Removing the outlier will decrease the spread of the graph of the data set.

Explanation:

Outliers increase the spread of the data set.

So removing an outlier will generally decrease the spread or variance or standard deviation of a data set.

The answer is

D. Removing the outlier will decrease the spread of the graph of the data set.

Answer 2

D.

Explanation:

if you remove the low value outlier, the variation from the mean will decrease therefore decreasing the varianc.