Set A consists of five positive numbers. SAT B consists of the square roots of each of the five numbers from Set A. If the standard deviation of Set B > standard deviation of Set A, which of the following must be true?
I. The range of the numbers in Set A is greater than 1
II. At least one of the numbers in Set A is less than 1
III. The range of Set A > Set B
(A) I only
(B) III only
(C) I and III
(D) I and II
(E) II only
Leave your answer in the comments below. The answer will be published on Thursday.