What is the range of numbers in Set S?
(1) The standard deviation of the numbers is 3.
(2) The average of all numbers is 5.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Average and standard deviation alone don't define a distribution (unless a very special case when the kind of distribution is specified and it's a "nice" kind) -> don't define a range -> E