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

Expert replies
by BTGmoderatorDC » Thu Oct 01, 2020 5:29 pm

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Answers

A

B

C

D

E

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Difficulty

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
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Source: — Problem Solving |

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

ans:A
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BTGmoderatorDC wrote:
Thu Oct 01, 2020 5:29 pm
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 Woodbury-Stewart
Founder and CEO
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BTGmoderatorDC wrote:
Thu Oct 01, 2020 5:29 pm
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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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Join the discussion