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