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# What is the median number of employees assigned per project

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Manager
Joined: 03 Jul 2008
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What is the median number of employees assigned per project  [#permalink]

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05 Jul 2008, 11:01
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Difficulty:

45% (medium)

Question Stats:

63% (01:21) correct 37% (01:28) wrong based on 292 sessions

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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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-median-number-of-employees-assigned-per-project-131892.html

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Manager
Joined: 05 Jul 2008
Posts: 130
GMAT 2: 740 Q51 V38
Re: What is the median number of employees assigned per project  [#permalink]

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05 Jul 2008, 23:23
TheBigCheese wrote:
What is the median number of employees assigned per project for the projects at company Z?
1) 25% of the projects at company Z have 4 or more employees assigned to each project
2) 35% of the projects at company Z have 2 or fewer employees assigned to each project.

It doesn't support the set of the number of employees assigned to each project so you cant find the median.(The "median" is the "middle" value in the list of numbers).
Is it right?
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Joined: 26 Jan 2008
Posts: 250
Re: What is the median number of employees assigned per project  [#permalink]

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05 Jul 2008, 23:36
3
TheBigCheese wrote:
What is the median number of employees assigned per project for the projects at company Z?
1) 25% of the projects at company Z have 4 or more employees assigned to each project
2) 35% of the projects at company Z have 2 or fewer employees assigned to each project.

(C) for me

Employee distribution by project would look something like:
[--------35% with 2 or lesser--------] ..3..3..3..3..3.. [-----25% with 4 or more-----]

The middle value would be a 3
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Re: What is the median number of employees assigned per project  [#permalink]

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05 Jul 2008, 23:39
incognito1 wrote:
TheBigCheese wrote:
What is the median number of employees assigned per project for the projects at company Z?
1) 25% of the projects at company Z have 4 or more employees assigned to each project
2) 35% of the projects at company Z have 2 or fewer employees assigned to each project.

(C) for me

Employee distribution by project would look something like:
[--------35% with 2 or lesser--------] ..3..3..3..3..3.. [-----25% with 4 or more-----]

The middle value would be a 3

Wonderful, Thank you! :X
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Joined: 05 Feb 2008
Posts: 32
Concentration: General Management, Nonprofit
GPA: 3.81
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Re: What is the median number of employees assigned per project  [#permalink]

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06 Jul 2008, 17:21
sorry . but i did not understod the explanation ? can you please elaborate more?TIA
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Re: What is the median number of employees assigned per project  [#permalink]

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06 Jul 2008, 17:34
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willisback wrote:
sorry . but i did not understod the explanation ? can you please elaborate more?TIA

Quote:
Question states:
What is the median number of employees assigned per project for the projects at company Z?
1) 25% of the projects at company Z have 4 or more employees assigned to each project
2) 35% of the projects at company Z have 2 or fewer employees assigned to each project.

Say you have a 20 projects, then 5 (25% of 20) projects have 4 or more employees, and 7 (35% of 20) projects have 2 or less employees.

If you were to arrange all projects in increasing order, the middle 8 projects will have 3 employees each (from the 2 options, since 25% of projects have 4 or more employees and 35% have 2 or less; you can deduce that the remaining 40% projects have exactly 3 employees). An example of this distribution is:
[1,1,1,1,2,2,2],[3,3,3,3,3,3,3,3],[4,7,9,11,15]

(In the form: [projects with 2 or less employees],[projects with 3 employees],[projects with more than 4 employees])
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Joined: 02 Sep 2009
Posts: 52108
Re: What is the median number of employees assigned per project  [#permalink]

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09 Jul 2015, 00:09
TheBigCheese 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.

What is the median number of employees assigned [b]per project for the projects at Company Z?[/b]

(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. Not sufficient on its own.

(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project. Not sufficient on its own.

(1)+(2) Since 35% of of the projects have 2 or fewer ($$\leq{2}$$)employees and 25% of the projects have 4 or more ($$\geq{4}$$) employees, then 100%-(25%+35%)=40% of the projects have exactly 3 employees assigned to each of them. So, the median number of employees assigned per project is 3. Sufficient.

To elaborate more: consider there are 100 projects: $$\{p_1, \ p_2, \ ... , \ p_{100}\}$$. The values of $$p_1$$ to $$p_{35}$$ will be 0, 1, or 2; the values of $$p_{36}$$ to $$p_{75}$$ will be exactly 3; the values of $$p_{76}$$ to $$p_{100}$$ will be 4 or more. $$Median=\frac{p_{50}+p_{51}}{2}=\frac{3+3}{2}=3$$.

For example list can be: $$\{2, \ 2, \ 2, \ ..., \ (p_{35}=2), \ (p_{36}=3), \ 3, \ ..., \ (p_{75}=3), \ (p_{76}=4), \ 4, \ ..., \ (p_{100}=4)\}$$;
OR:
$$\{0, \ 0, \ 1, \ 1, \ 1, \ 2, \ 2, \ ..., \ (p_{35}=2), \ (p_{36}=3), \ 3, \ ..., \ (p_{75}=3), \ (p_{76}=4), \ 5, \ 7, \ 27, \ ..., \ (p_{100}=10000)\}$$ (of course there are a lot of other breakdowns).

In any case median=3.

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-median-number-of-employees-assigned-per-project-131892.html
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Re: What is the median number of employees assigned per project  [#permalink]

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01 Apr 2017, 10:27
TheBigCheese 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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: http://gmatclub.com/forum/what-is-the-m ... 31892.html

(1) If 25 % of the projects at Company Z have 4 or more employees assigned to each project, then 75% of the projects have less than 4 employees.
The median thus would be less than 4. But don't know its exact value.

Insufficient.

BCE

(2) Therefore 65% of the projects have more than 2 employees.
But still we do not have an exact value.

Combine the two statements:

2<Median number of employees<4

Thus its 3.

C
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Re: What is the median number of employees assigned per project  [#permalink]

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03 May 2018, 01:47
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# What is the median number of employees assigned per project

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