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# What is the median number of employees assigned per project

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Manager
Joined: 10 Oct 2005
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What is the median number of employees assigned per project [#permalink]

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10 Dec 2005, 16:18
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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.
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Director
Joined: 24 Oct 2005
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10 Dec 2005, 19:03
i think it is E
35 % has less then = to 2..

and the 25 % has greater than equal to 4

these are mutually exclusive.. its the other 45% where the median might lie.. if the 45 % have employees >=7 then median would be somewhere between 4 and 7

but if the 45 % have 3 employees median will be 3
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12 Dec 2005, 17:01
I say C.

40% of the projects must have 3 ppl assigned to them.
40%>25%(4 or above), and 40>35%(2 or less).

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Director
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12 Dec 2005, 19:05
yb i think you are right.. because when it said 25% has 4 or more, which includes everything above 4..

true!
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Director
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12 Dec 2005, 19:24
Clearly (C).

3 is the only integer between 2 and 4, thus the median should be 3.
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Manager
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13 Dec 2005, 06:01
It looks like the only option for the median is 3. If we pick up numbers we will get three as a median. It is C no Doubt. OA is C.
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13 Dec 2005, 06:01
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