Standard Deviations

[anp205]

I recieved this question on an old GRE Test. So, I don't know any of the answers or exactly how the question is stated. Can anyone help explain the methodology used to solve this problem.

Here is the problem...

The standard deviation for 5 consecutive integers is zero. If 7 units are added to each number, and each number is then divided by the square root of 3, what is the new standard deviation?

FYI, I believe zero is given as one of the answers.

[rumen]

think that in order the SD to be 0 the numbers should be same there is no other option...if they are consecutive there will always be some deviation from the mean which is not the case, so the ans should be 0

[kfree]

1. problem don't make sense at all. as rumen already pointed out, 5 consecutive numbers can't have a std of zero.

2. I agree with rumen to guess that there is no constraint on 5 consecutive numbers but a constraint on 5 numbers with std of zero.
In this case, the result would be zero as rumen already explained.

[vknittala]

One more point!

As long as the range remains the same the SD remains the same
l