Critical Thinking Consider two data sets.

Set A: n 5 5; x 5 10 Set B: n 5 50; x 5 10

(a) Suppose the number 20 is included as an additional data value in Set A.

Compute x for the new data set. Hint: x 5 nx. To compute x for the new data set, add 20 to x of the original data set and divide by 6.

(b) Suppose the number 20 is included as an additional data value in Set B.
Compute x for the new data set.

(c) Why does the addition of the number 20 to each data set change the mean for Set A more than it does for Set B?