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What is the median number of employees assigned per project

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

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05 Jun 2005, 14:12
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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.

No OA again
SVP
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05 Jun 2005, 14:22
1)75% 3 or less
50% could be 0,1,2,3. insufficient

2)65% 3 or more
50% could be 3, 4, 5 ...

Combined
1-25%-35%=40%
40% projects have 3 people assigned

The first 35% is 2 or less, the next 15% (to make it to the middle) is 3 assigned.

C
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Director
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05 Jun 2005, 14:24
Vithal 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.

No OA again

That's C. projects with 3 employees are in the middle 40%, and there surely more than 2 of them because at a bare minimum 5% would correspond to at least 1 project.
Director
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05 Jun 2005, 14:24
I got C by the same reasoning as Hong
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05 Jun 2005, 14:25
Vithal 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.

No OA again

each statement alone doesn't give enough information...
however using both together you know that if 25% have 4 or more and 35% have 2 or less, 40% have exactly 3..
in a company of 20 projects...7 have 2 or less people, the next 8 have 3 and the next 5 have 4 or more
thus the median would be 3

Director
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05 Jun 2005, 14:49
Nice explanation guys....Initially didnt get the question.....
Current Student
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06 Jun 2005, 08:25
went with C too....

though, my working was a bit different from hongs...but the idea was the same,,,I was trying to find out how many 3 person projects there were....
Manager
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06 Jun 2005, 17:14
doesnt really matter how many 3 person projects there are. You know the percentages for each group.
06 Jun 2005, 17:14
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What is the median number of employees assigned per project

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