Data set A contains different values with a minimum of , a maximum of , a mean of , and a standard deviation of . The values of and are removed from the data set to create data set B. Which of the following statements is true?
A
Both the mean and standard deviation of data set A are less than data set B.
B
Both the mean and standard deviation of data set A are greater than data set B.
C
The standard deviation of data set A is greater than the standard deviation of data set B, but the mean of both sets is the same.
D
The standard deviation of data set B is less than the standard deviation of data set A, but the mean of both sets is the same.