Which of the following triples of numbers have the same standard deviation as the numbers p, q, and r?
I. p-2, q-2, r-2
II. 0, p-q, r-q
III. p-4, q+5, r-1  Choose the correct option.
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 {p-2, q-2, r-2} is obtained by subtracting 2 from each term of {p, q, r}   Set {0, p-q, r-q} is obtained by subtracting s from each term of {p, q, r}   Set {p-4, q+5, r-1} is totally different from {p, q, r}.   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 p, q, and r?
I. p-2, q-2, r-2
II. 0, p-q, r-q
III. p-4, q+5, r-1