3. [0.08/0.24 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 3.2.005.MI. MY NOTES ASK YOUR TEACHER PRACTICE AN Consider the data set. 2, 4, 5, 6, 8 (a) Find the range. 6 (b) Use the defining formula to compute the sample standard deviation s. (Round your answer to two decimal places.) X (c) Use the defining formula to compute the population standard deviation o. (Round your answer to two decimal places.) Need Help? Read It Master It Submit Answer 4. [-/0.24 Points] DETAILS BBUNDERSTAT12 3.2.010.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANO 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, 4, 16, 4, 12 LA 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 3 to each data value to get the new data set 15, 7, 19, 7, 15. 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. Need Help? Read It Master It