Consider two data sets. Set A: n = 5; x = 7 Set B: n = 50; x = 7 (a) Suppose the number 32 is included as an additional data value in Set A. Compute x for the new data set. Hint: Sx = nx. To compute x for the new data set, add 32 to x of the original data set and divide by 6. (Round your answer to two decimal places.) (b) Suppose the number 32 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 32 to each data set change the mean for Set A more than it does for Set B? O 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. O 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. O 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. O 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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Consider two data sets.
Set A: n = 5; x = 7
Set B: n =
50; x = 7
(a) Suppose the number 32 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 32 to x of the original data set and divide by 6. (Round your answer to two decimal places.)
(b) Suppose the number 32 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 32 to each data set change the mean for Set A more than it does for Set B?
O 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.
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.
Transcribed Image Text:Consider two data sets. Set A: n = 5; x = 7 Set B: n = 50; x = 7 (a) Suppose the number 32 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 32 to x of the original data set and divide by 6. (Round your answer to two decimal places.) (b) Suppose the number 32 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 32 to each data set change the mean for Set A more than it does for Set B? O 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. 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.
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