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# What is the median number of employees assigned per project

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Senior Manager
Joined: 11 Sep 2005
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What is the median number of employees assigned per project [#permalink]  24 Sep 2007, 12:17
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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.

(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

I picked E.......any other views?????
Director
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Re: DS - Official GMAT SET21 Q35 [#permalink]  24 Sep 2007, 12:41
singh_amit19 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.

(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

I picked E.......any other views?????

Both statements looks useless to me . E I would guess.
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[#permalink]  24 Sep 2007, 13:45
IF 25 percent of the projects at Company Z have 4 or more employees and 35 percent of the projects at Company Z have 2 or fewer employees , then the rest (the middle 40 percent) have exactly 3 employees.

thus, the median is 3 employees.

Difficulty level : Easy-Medium bin
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[#permalink]  24 Sep 2007, 18:46
Assume 100 employees,
we would have 35 employees having 2 or fewer employees
we would have 25 employees having 4 or more employees

The remaining 60 employees would be in the middle or 3 employees exactly. Since the median of 100 is the average of the 49th term & 50th term, the median = 3.
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[#permalink]  24 Sep 2007, 18:54
ywilfred wrote:
Assume 100 employees,
we would have 35 employees having 2 or fewer employees
we would have 25 employees having 4 or more employees

The remaining 60 employees would be in the middle or 3 employees exactly. Since the median of 100 is the average of the 49th term & 50th term, the median = 3.

I still dont get it .
We dont have any information about the remaining 60% of company here.
What if 60 percent of the projects at Company Z have 10 or more employees assigned to each project ?
I think I am still missing something.
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[#permalink]  24 Sep 2007, 19:04
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ashkrs wrote:
ywilfred wrote:
Assume 100 employees,
we would have 35 employees having 2 or fewer employees
we would have 25 employees having 4 or more employees

The remaining 60 employees would be in the middle or 3 employees exactly. Since the median of 100 is the average of the 49th term & 50th term, the median = 3.

I still dont get it .
We dont have any information about the remaining 60% of company here.
What if 60 percent of the projects at Company Z have 10 or more employees assigned to each project ?
I think I am still missing something.

that part would be covered by the statement "4 or more employees" which we are told is 25%. We don't really care out of this 25%, how many are 10, how many are 8 etc..... what we are really concerned with, is what's the value for the 49th and 50th term.
[#permalink] 24 Sep 2007, 19:04
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# What is the median number of employees assigned per project

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