Consider two data sets. Set A: n = 5; x = 7 Set B: n = 50; x = 7

(a) Suppose the number 23 is included as an additional data value in Set A. Compute x for the new data set. Hint: x = nx. To compute x for the new data set, add 23 to x of the original data set and divide by 6. (Round your answer to two decimal places.)

(b) Suppose the number 23 is included as an additional data value in Set B. Compute x for the new data set. (Round your answer to two decimal places.)

(c) Why does the addition of the number 23 to each data set change the mean for Set A more than it does for Set B? Set B has a larger number of data values than set A, so to find the mean of B we divide the sum of the values by a larger value than for A. Set B has a smaller number of data values than set A, so to find the mean of B we divide the sum of the values by a larger value than for A. Set B has a smaller number of data values than set A, so to find the mean of B we divide the sum of the values by a smaller value than for A. Set B has a larger number of data values than set A, so to find the mean of B we divide the sum of the values by a smaller value than for A.