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# What is the median number of employees assigned per project

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Director
Affiliations: FRM Charter holder
Joined: 02 Dec 2006
Posts: 729
Schools: Stanford, Chicago Booth, Babson College
What is the median number of employees assigned per project [#permalink]

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18 Jan 2007, 07:56
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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.
Senior Manager
Joined: 19 Jul 2006
Posts: 358

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18 Jan 2007, 10:53
C

from (1) and (2)

1-35 have 2 or less emp
76-100 has 4 or more emp
we cand educe that 36-75 have 3 employees

so median is 3
Intern
Joined: 05 Feb 2006
Posts: 3

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18 Jan 2007, 11:54
just looking at this
median is the middle number, so
1-35% have 2 or less emp, thats fine (10% with 1, and 25% with 2)
35 to 76% have 3,
76-100% has 4 or more emp, (there could be a very large number of groups much greater than 4, so you don't know that the median is)

i think it is E
Intern
Joined: 02 Oct 2006
Posts: 39

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18 Jan 2007, 22:06
agree with j8chan. answer for me is E
Intern
Joined: 09 Jan 2007
Posts: 12
Location: Los Angeles, CA

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18 Jan 2007, 23:52
Well, the question is the median number of employees per project for the projects. So, we are not looking at the median of employees, but the median of projects and whatever employee number lies at the median, would be the answer.

Since projects with 3 employees lie in the 50% range, it would be 3.

Correct me if I'm wrong here.
Intern
Joined: 17 Dec 2006
Posts: 22

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19 Jan 2007, 01:02
I agree answer should be median number of employees assigned per project = "3" (C)

from 1 and 2, we know how many projects have 2, 3 and 4 employees respectively.

Arrange each of these in arranging order of [employees/project], this will be the distribution:

2, 2, 2 ....... 3,3,3.....4,4,4 ....

Given the numbers, 3 will fall at 50 percent
19 Jan 2007, 01:02
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# What is the median number of employees assigned per project

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