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What is the median number of employees assigned per project

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Senior Manager
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What is the median number of employees assigned per project [#permalink]

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New post 01 Dec 2008, 08:45
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What is the median number of employees assigned per project for the projects at Company Z?
(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each
project.
(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each
project

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Re: DS-Median [#permalink]

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New post 01 Dec 2008, 08:58
C, 40% is 3, therefore the median

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Re: DS-Median [#permalink]

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New post 06 Dec 2008, 20:15
Quote:
What is the median number of employees assigned per project for the projects at Company Z?
(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each
project.
(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each
project

This is a very interesting question for me, because it brings up the meaning of "4 or more"
If I say that "25 percent of the projects at Company Z have 4 or more employees assigned to each project," can I assume that there is at least one project that has 4 employees assigned to it? For some reason, this seems like an incorrect assumption.

Example: I have a company that sells chickens. I have exactly five chickens and their weights (in kg) are 5, 5, 6, 7, 9 can I say that my chickens all weigh 4 kg or more, even though none of my chickens weighs 4 kg? It seems that this statement about my chickens is true. However, according to the original question (and OA), the statement about my chickens is false.

If my "chicken statement" were true then the correct answer to the original question would be E since "25 percent of the projects at Company Z have 4 or more employees assigned to each project" could mean that each of these projects (all 25% of them) have 200 assigned employees. Similarly, having 2 employees or fewer could mean that they all have exactly 1 assigned employee and there a no projects with 2 assigned employees.

If the official answer is C, then I guess it means that, when referring to a population (or set), "4 or more" means that we must assume that at least member in that population has a value of 4. Interesting.

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Re: DS-Median [#permalink]

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New post 06 Dec 2008, 20:22
brenthanneson, i guess the point here is the remaining 40% of projects
Even if 25% of projects have 400 employees assigned to them, and 35% have 1 employee each,
we are still left with 40% of the projects being assigned 3 people to them (otherwise they would have fallen into one of the other two categories)

since the 50% mark then falls on a project with 3 employees, the median is 3 irrespective of how big of small the other projects are.

So the OA for this question does not really suggest anything about "x or more" implying x must be 'used'

hope that makes sense.

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Re: DS-Median   [#permalink] 06 Dec 2008, 20:22
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