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Z is a set of positive numbers.The median of Z is greater

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Z is a set of positive numbers.The median of Z is greater [#permalink]

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New post Updated on: 07 Aug 2013, 22:10
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Question Stats:

43% (01:25) correct 57% (01:31) wrong based on 207 sessions

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1. Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following must be true?
I) At least 50% of the numbers in Z are smaller than the median.
II) Less than 50% of the numbers in Z are greater than the median.
III) The median of Z is greater than the average of the largest and smallest numbers in Z.

A)II only
B)III only
C)II and III
D)I, II and III
E)None of the above

Bunuel- How to identify the plug-ins for this type of questions?

Is there any other approach to solve this efficiently instead of 'plug-in and check'?
[Reveal] Spoiler: OA

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Originally posted by bagdbmba on 07 Aug 2013, 21:49.
Last edited by Zarrolou on 07 Aug 2013, 22:10, edited 1 time in total.
Edited the question.
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Re: Z is a set of positive numbers.The median of Z is greater [#permalink]

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New post 07 Aug 2013, 22:52
Zarrolou - Great that you've inserted my query related to the above problem in the main post but I willingly posted it differently to keep the question tag neat & clean...!

P.S : May be I'm wrong,but I guess Bunuel doesn't prefer to see that sort of comments along with qs :)
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KUDOS please, if you like the post or if it helps :-)

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Re: Z is a set of positive numbers.The median of Z is greater [#permalink]

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New post 07 Aug 2013, 23:06
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Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following must be true?
I) At least 50% of the numbers in Z are smaller than the median.
Consider {2,5,6}.
II) Less than 50% of the numbers in Z are greater than the median.
Consider {1,4,7,8}
III) The median of Z is greater than the average of the largest and smallest numbers in Z.
Consider {1,2,4,5,7}

E)None of the above

I would say that plugging number is the fastest way to solve those, rather than a theoretical approach.

bagdbmba wrote:
Zarrolou - Great that you've inserted my query related to the above problem in the main post but I willingly posted it differently to keep the question tag neat & clean...!

P.S : May be I'm wrong,but I guess Bunuel doesn't prefer to see that sort of comments along with qs :)


As long as the comment is not a spoiler (why A? for example) but it's a question, I think it's fine.
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Re: Z is a set of positive numbers.The median of Z is greater [#permalink]

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New post 08 Aug 2013, 01:03
Zarrolou wrote:
Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following must be true?
I) At least 50% of the numbers in Z are smaller than the median.
Consider {2,5,6}.
II) Less than 50% of the numbers in Z are greater than the median.
Consider {1,4,7,8}
III) The median of Z is greater than the average of the largest and smallest numbers in Z.
Consider {1,2,4,5,7}

E)None of the above

I would say that plugging number is the fastest way to solve those, rather than a theoretical approach.

bagdbmba wrote:
Zarrolou - Great that you've inserted my query related to the above problem in the main post but I willingly posted it differently to keep the question tag neat & clean...!

P.S : May be I'm wrong,but I guess Bunuel doesn't prefer to see that sort of comments along with qs :)


As long as the comment is not a spoiler (why A? for example) but it's a question, I think it's fine.


fine explanation :-D
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Re: Z is a set of positive numbers.The median of Z is greater [#permalink]

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New post 08 Apr 2018, 08:23
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Re: Z is a set of positive numbers.The median of Z is greater   [#permalink] 08 Apr 2018, 08:23
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