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.17,4,16,10,12

Use the defining formula, the computation formula, or a calculator to computes. (Enter your answer to one decimal place.)

Add7to each data value to get the new data set24,11,23,17,19. Computes. (Enter your answer to one decimal place.)

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?

Adding the same constantcto each data value results in the standard deviation remaining the same.

Adding the same constantcto each data value results in the standard deviation increasing bycunits.

Adding the same constantcto each data value results in the standard deviation decreasing bycunits.

There is no distinct pattern when the same constant is added to each data value in a set.