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Using only statement II we can solve this Q as follows:

Assuming

I. the set as {2,4,6} -------statement II required Mean = 4 , even Median = 4 even

II. Set as {2,4,6,8} Mean = 5 Median = 5

III. Set {1,3,5,7} -------statement II required Mean = 4 Median = 4

Hence we do not require the info provided in statement I and we can solve with statemetn II only. Can anybody comment on this ?

Your reasoning is not correct. Are you saying that all sets with even mean have even median? What about: {1, 1, 4} --> \(mean=2=even\) and \(median=1=odd\) OR {0.6, 1.2, 4,2, } --> \(mean=2=even\) and \(median=1.2\neq{integer}\).

Is the median of set S even?

(1) Set S is composed of consecutive odd integers --> set S is evenly spaced --> for every evenly spaced set \(mean=median\). But still insufficient.

(2) The mean of set S is even. Insufficient as shown above.

(1)+(2) From 1: \(mean=median\) and from 2: \(mean=even\) --> \(mean=median=even\). Sufficient.

I think this question is better done conceptually rather than with thru trial and error. Like in this example, the first statement tells us the set has all odd integers while the second says it has an even number of ingers, taken together, should be enough to answer the question.

But thanks for posting the question
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Re: Is the median of set S even? 1. Set S is composed of [#permalink]

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26 Sep 2015, 04:40

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