Consider two data sets. Set A: n = 5; x = 10 Set B: n = 50; x = 10 (a) Suppose the number 21 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 21 to x of the original data set and divide by 6. (b) Suppose the number 21 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 21 to each data set change the mean for Set A more than it does for Set B?

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Tutorial Exercise
Consider two data sets.
Set A: n = 5; x = 10 Set B: n = 50; x = 10
%3D
(a) Suppose the number 21 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 21 to
Σ
x of the original data set
and divide by 6.
(b) Suppose the number 21 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 21 to each data set change the mean for Set A more than it
does for Set B?
Step 1
(a) Suppose the number 21 is included as an additional data value in Set A. Compute x for the new data
Σ
x = nx. To compute x for the new data set, add 21 to x of the original data set and divide
set. Hint:
by 6.
We are to determine the mean of the new set that results when the value 21 is included as an additional value
in Set A. However, before we can find the mean of the modified data set, we need to first take a closer look at
the original Set A. We are given that Set A hasn = 5 data values and mean x = 10
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not recei able to come back to the skipped part. Tutorial Exercise Consider two data sets. Set A: n = 5; x = 10 Set B: n = 50; x = 10 %3D (a) Suppose the number 21 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 21 to Σ x of the original data set and divide by 6. (b) Suppose the number 21 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 21 to each data set change the mean for Set A more than it does for Set B? Step 1 (a) Suppose the number 21 is included as an additional data value in Set A. Compute x for the new data Σ x = nx. To compute x for the new data set, add 21 to x of the original data set and divide set. Hint: by 6. We are to determine the mean of the new set that results when the value 21 is included as an additional value in Set A. However, before we can find the mean of the modified data set, we need to first take a closer look at the original Set A. We are given that Set A hasn = 5 data values and mean x = 10
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