Two data sets are being compared. One data set is skewed left, and the minimum value is an outlier. Another data set is symmetric about its peak about the center of the distribution with no outliers. Explain whether the mean and standard deviation should be used to compare the measures of center and measures of spread.(1 point)

Responses

The mean and the standard deviation should be used because the mean and the standard deviation are not affected by outliers.
The mean and the standard deviation should be used because the mean and the standard deviation are not affected by outliers.

The mean and the standard deviation should be used because one of the distributions is symmetric with no outliers.
The mean and the standard deviation should be used because one of the distributions is symmetric with no outliers.

The mean and standard deviation should not be used because one of the distributions is skewed left and has an outlier.
The mean and standard deviation should not be used because one of the distributions is skewed left and has an outlier.

The mean and standard deviation should not be used because both of the distributions are skewed left, and both data sets have at least one outlier.
The mean and standard deviation should not be used because both of the distributions are skewed left, and both data sets have at least one outlier.

The mean and standard deviation should not be used because one of the distributions is skewed left and has an outlier. Skewed data can heavily influence the mean, making it an unreliable measure of center. In this case, it would be more appropriate to use median and interquartile range to compare the measures of center and spread for these two data sets.