rxs0005 wrote:
Set Q contains p numbers, where p > 1. What is the ratio of the average of set Q to the median of set Q.
(1) Set Q is a set of consecutive even integers.
(2) p = 6
i am not sure about OA
So the question is: mean/median=?
(1) Set Q is a set of consecutive even integers --> set Q is evenly spaced. The most important property of evenly spaced sets is:
in any evenly spaced set the arithmetic mean (average) is equal to the median. Hence for such sets mean/median=1. Sufficient.
Note that reverse is not true: if mean=median the set may or may not be evenly spaced.
Also note that on GMAT the case of 0/0 (in case mean=median=0, for example {-2, 0, 2}) would be eliminated by some additional condition (like all numbers in set Q are positive) or by rephrasing the question (does mean=median).
(2) p = 6. Clearly insufficient.
Answer: A.
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