For the set {6, 15, y}, the standard deviation is x. What is the standard deviation of the set {10, 19, (y + 4)

[BTGmoderatorDC]

For the set {6, 15, y}, the standard deviation is x. What is the standard deviation of the set {10, 19, (y + 4)}?

A. x
B. x + 4/3
C. x + 4
D. x + 12
E. Cannot be determined from the information provided


OA A

Source: Veritas Prep

[DHRJ007]

adding a constant to all elements of a set will have no effect on standard deviation.
so,

ans:A

[Scott@TargetTestPrep]

For the set {6, 15, y}, the standard deviation is x. What is the standard deviation of the set {10, 19, (y + 4)}?

A. x
B. x + 4/3
C. x + 4
D. x + 12
E. Cannot be determined from the information provided


OA A

Solution:

Since each number in the second set is 4 more than each number in the first set, the standard deviations of both sets must be the same. Therefore, the standard deviation of the second set is also x.

Answer: A

[Scott@TargetTestPrep]

For the set {6, 15, y}, the standard deviation is x. What is the standard deviation of the set {10, 19, (y + 4)}?

A. x
B. x + 4/3
C. x + 4
D. x + 12
E. Cannot be determined from the information provided


OA A

Solution:

If each element of a data set has the same number added to it, the standard deviation of the data set doesn’t change. Since each number in the second set is 4 more than each number in the first set, the standard deviations of both sets must be the same. Therefore, the standard deviation of the second set is also x.

Answer: A