Which of the following triples of numbers have the same standard deviation as the numbers u, v and w?
I. u-2, v-2, w-2
II. 0, u-v, w-v
III. u-4, v+5, w-1 Select:
A) I only
B) II only
C) I and III only
D) II and I only
E) I, II, and III
If we add or subtract a constant to each term in a set the standard deviation will not change.   Set {u-2, v-2, w-2} is obtained by subtracting 2 from each term of {u, v, w}.   Set {0, u-v, w-v} is obtained by subtracting s from each term of {u, v, w}.   Set {u-4, v+5, w-1} is totally different from {u, v, w}.   Thus the answer is I and II only.   Answer: II and I only.
<result>D</result>
Which of the following triples of numbers have the same standard deviation as the numbers u, v and w?
I. u-2, v-2, w-2
II. 0, u-v, w-v
III. u-4, v+5, w-1