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. 12, 16, 4, 8, 6 LAUSE SALT (a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to four decimal places) 6.3 (b) Add 3 to each data value to get the new data set 15, 19, 7, 11, ST Compute s. (Enter your answer to four decimal places.) Enter a number (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? O Adding the same constant c to each data value results in the standard deviation remaining the same. O 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. O There is no distinct pattern when the same constant is added to each data value in a set