In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set. 16, 12, 16, 4, 10

a. Use the defining formula, the computation formula, or a calculator to compute s
b. Add 2 to each data value to get the new data set 18, 14, 18, 6, 12. Compute s
c. Compare the results of parts (a) and (b). In general, how do you think the standard deviation of a data set changes if the same constant is added to each data value?