Question

If the standard deviation of $0,1,2,3,4,5,6,7,8,9$ is K, then the standard deviation of $10,11,12,....,19$ is?

• A. K
• B. $K+10$
• C. $K+\sqrt{10}$
• D. $10K$

Answer 1

Answer: (A)

K

"The standard deviation of a set does not change if the data is increased or decreased by a constant".

Given the S.D. of {$0,1,2,3,4,5,6,7,8,9$} is $K$.

then for the set {$10,11,12,13,14,15,16,17,18,19$} , the standard deviation will also be $K$ as each element of this new set is just 10 more than the previous set. Hence, from the statement made in the first line we can state that the second set will also have same standard deviation.