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# Is the median of a set of 8 numbers > 20? (i) 5 of the

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Is the median of a set of 8 numbers > 20? (i) 5 of the [#permalink]  22 Jan 2011, 06:36
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Is the median of a set of 8 numbers > 20?
(i) 5 of the numbers have a value of at least 20
(ii) sum of the 8 numbers is 160

IMO OA :
[Reveal] Spoiler:
A

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Re: medain of a set of numbers [#permalink]  22 Jan 2011, 11:58
gmatbull wrote:
Is the median of a set of 8 numbers > 20?
(i) 5 of the numbers have a value of at least 20
(ii) sum of the 8 numbers is 160

IMO OA :
[Reveal] Spoiler:
A

Is the median of a set of 8 numbers > 20?

(1) 5 of the numbers have a value of at least 20 --> if these 5 numbers equal to 21 then no matter what the other 3 numbers are the median will be 21, so more than 20 but it's also possible these 5 numbers to be equal to 20 and in this case median will be 20, so not more than 20. Not sufficient.

(2) Sum of the 8 numbers is 160 --> if all numbers equal to 20 then the answer will be NO but if the set is for example {0, 0, 0, 32, 32, 32, 32, 32} then the answer will be YES, as median in this case will be equal to 32.

(1)+(2) Again it's possible to have the answer YES (for example {0, 0, 0, 32, 32, 32, 32, 32}) as well as the answer NO (for example {0, 0, 0, 20, 20, 40, 40, 40}). Not sufficient.

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Re: medain of a set of numbers [#permalink]  22 Jan 2011, 15:13
I agree with your explanations, Bunuel.
Thanks.
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Re: medain of a set of numbers   [#permalink] 22 Jan 2011, 15:13
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