Which of the following triples of numbers have the same standard deviation as the numbers x, y and z?
I. x-2, y-2, z-2
II. 0,x-y, z-y
III.x-4, y+5, z-1	Pick one:  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 {x-2, y-2, z-2} is obtained by subtracting 2 from each term of {x, y, z}.   Set {0, x-y, z-y} is obtained by subtracting s from each term of {x, y, z}.   Set {x-4, y+5, z-1} is totally different from {x, y, z}.   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 x, y and z?
I. x-2, y-2, z-2
II. 0,x-y, z-y
III.x-4, y+5, z-1