Consider the data set 1, 2, 3, 4, 5, 6, 7, 8, 9. a. Use the defining formula to obtain the sample standard deviation. b. Replace the 9 in the data set by 99, and again use the defining formula to...

Consider the data set 1, 2, 3, 4, 5, 6, 7, 8, 9.

a. Use the defining formula to obtain the sample standard deviation.

b. Replace the 9 in the data set by 99, and again use the defining formula to compute the sample standard deviation.

c. Compare your answers in parts (a) and (b). The lack of what property of the standard deviation accounts for its extreme sensitivity to the change of 9 to 99?