Question: Critical Thinking Consider two data sets. Set A: n 5 5; x 510 Set B: n 5 50; x 510 (a) Suppose the number 20

Critical Thinking Consider two data sets.

Set A: n 5 5; x 510 Set B: n 5 50; x 510

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

Hint: Sx 5nx. To compute x for the new data set, add 20 to Sx 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?

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