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# What is the median number of employees assigned per project

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Manager
Joined: 10 Oct 2008
Posts: 56
What is the median number of employees assigned per project [#permalink]

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11 Dec 2008, 19:22
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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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SVP
Joined: 29 Aug 2007
Posts: 2452

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11 Dec 2008, 22:32
Jcpenny wrote:
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.

C. 40% of the project should have 3 emplyoees.
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Manager
Joined: 14 Oct 2008
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12 Dec 2008, 03:50
1st statement shows that 25 % projects have 4 or more employees hence 75 % have less than 4 employees.
Not sufficient.

2nd statement shows 35 % projects have 0 ... 2 employees, on its own its not sufficient.

Taken together, now we know that out of 75 % , 35% have median between 0 to 2.
Hence 40 % have median more than 2 and less than 4 i.e 3

The qs asks "What is the median number of employees assigned per project for the projects at Company Z? "

This is what confuses me. The answer could be C if we consider that median will be in range of middle 40 % of employees and we have a sure number on that.

But does median number "per project" really means what we have solved , is the doubt i have. If it does'nt then the QA could be E.

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Re: median   [#permalink] 12 Dec 2008, 03:50
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# What is the median number of employees assigned per project

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