diebeatsthegmat wrote:If N is a set of five numbers p, w, r, s, and t, is the range of numbers in N greater than 5?
(1) The average (arithmetic mean) of p, w, r, s, and t is 5.
(2) p -r > 5.
Statement 1: mean = 5.
{5, 5, 5, 5, 5}. Mean = 5, range = 0.
{0, 5, 5, 5, 10}. Mean = 5, range = 10-0 = 10.
Since the range can be less than 5 or greater than 5, insufficient.
Statement 2: p-r > 5.
If the difference of two of the values is greater than 5, then the range -- the difference of the biggest and the smallest values -- must be greater than 5.
Sufficient.
The correct answer is
B.
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