10. | Critical Thinking Consider two data sets. Set A: n = 5; x = 10 Set B: n = 50; x = 10 (a) Suppose the number 20 is included as an additional data value in Set A. Compute x for the new data set. Hint: Ex = nx. To compute x for the new data set, add 20 to Ex for 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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10. | Critical Thinking Consider two data sets.
Set A: n = 5; x = 10
Set B: n = 50; x = 10
(a) Suppose the number 20 is included as an additional data value in Set A.
Compute x for the new data set. Hint: Ex = nx. To compute x for the new
data set, add 20 to Ex for 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?
Transcribed Image Text:10. | Critical Thinking Consider two data sets. Set A: n = 5; x = 10 Set B: n = 50; x = 10 (a) Suppose the number 20 is included as an additional data value in Set A. Compute x for the new data set. Hint: Ex = nx. To compute x for the new data set, add 20 to Ex for 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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