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

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Is the median of a set of 8 numbers > 20? [#permalink]

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New post 22 Jan 2011, 06:36
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42% (00:57) correct 58% (00:49) wrong based on 26 sessions

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

(1) 5 of the numbers have a value of at least 20
(2) Sum of the 8 numbers is 160
[Reveal] Spoiler: OA

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Re: Is the median of a set of 8 numbers > 20? [#permalink]

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New post 22 Jan 2011, 11:58
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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.

Answer: E.
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Re: Is the median of a set of 8 numbers > 20? [#permalink]

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New post 22 Jan 2011, 15:13
I agree with your explanations, Bunuel.
Thanks.
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Re: Is the median of a set of 8 numbers > 20? [#permalink]

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Re: Is the median of a set of 8 numbers > 20?   [#permalink] 30 Sep 2017, 09:23
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