Answer Happy

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. 8, 14, 8, 6, 16 in USE SALT (a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to four decimal places.) (b) Add 5 to each data value to get the new data set 13, 19, 13, 11, 21. Compute s. (Enter your answer to four decimal places.) (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? Adding the same constant c to each data value results in the standard deviation remaining the same. Adding the same constant c to each data value results in the standard deviation increasing by c units. Adding the same constant c to each data value results in the standard deviation decreasing by c units. There is no distinct pattern when the same constant is added to each data value in a set.