Step 1 (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. 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 has n = 5 data values and mean x = 10. There are 5 data values in the set, so we can let x, X2, X3, X, and x, be the data values in the original Set A. Since the mean is equal to 10 we have the following. Σ x = X, + X2 + X3 + X4 + X5 10 = X (10) = x, + X2 + X3 X4 + X5 X = X, +

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(C) why
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
set. Hint:
x = nx. To compute x for the new data set, add 21 tox of the original data set and divide
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.
%3D
There are 5 data values in the set, so we can let x,, x,, xa, X, and x- be the data values in the original Set A.
Since the mean is equal to 10 we have the following.
Σ
X1 + X2 + X3
10 =
+ X4 + X5
x (10)
= x, + X2 + X3 + X4 + X5
x = x1 + X2 + X3+ Xq + X5
Submit
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Transcribed Image Text:(C) why 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 set. Hint: x = nx. To compute x for the new data set, add 21 tox of the original data set and divide 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. %3D There are 5 data values in the set, so we can let x,, x,, xa, X, and x- be the data values in the original Set A. Since the mean is equal to 10 we have the following. Σ X1 + X2 + X3 10 = + X4 + X5 x (10) = x, + X2 + X3 + X4 + X5 x = x1 + X2 + X3+ Xq + X5 Submit Skip (you cannot come back)
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