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median

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by gmatmachoman » Thu May 20, 2010 11:17 am
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.
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Source: — Data Sufficiency |
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by liferocks » Thu May 20, 2010 5:59 pm
median will be the number of employees assigned to a project with 50% project have more number of employees and rest 50% has less
if there are 100 projects then it will be mean of 50th and 51st projects number of employees

From 1
we know employee number of 25%>=4....so median must be less than 4 but not sure of the number...not sufficient

From 2
we know employee number of 35%<=2....so median must be more than 2 but not sure of the number...not sufficient

combining,
[spoiler]40% projects have 3 employees...median is 3...sufficient[/spoiler]

Ans option C
Last edited by liferocks on Thu May 20, 2010 7:50 pm, edited 1 time in total.
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by indiantiger » Thu May 20, 2010 7:39 pm
Lets take statement (1) 25 percent of the projects at Company Z have 4 or more employees assigned to
each project.

lets say there n projects 25n/100 have greater than 4 employees, insufficient as no data is provided for the 75% of the projects

rule out A,D

(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to
each project.

lets say there are n projects 35n/100 have 2 or less than 2 employees assigned to it, no data is provided for 65% of the projects

rule out (A,B,D)

options left C,E

Lets combine statement 1 and statement 2

-------25n/100--------------|------------40n/100---------|-----------35n/100-------------------|
employees>4 on projects| employees 3 on projects|employees <=2 on project |

median in case of even series is the middle two values which are 3 and 3 so (3+3)/2 = 3

hence (C)
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by frank1 » Thu May 20, 2010 8:37 pm
Am i missing some thing here
why that rest 40% cannot have more than 3 employees.....why not for eg 5....
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by liferocks » Thu May 20, 2010 8:49 pm
frank1 wrote:Am i missing some thing here
why that rest 40% cannot have more than 3 employees.....why not for eg 5....
Because in statement 1 it is mentioned that 25% has 4 or more which includes 5
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by frank1 » Thu May 20, 2010 9:06 pm
liferocks wrote:
frank1 wrote:Am i missing some thing here
why that rest 40% cannot have more than 3 employees.....why not for eg 5....
Because in statement 1 it is mentioned that 25% has 4 or more which includes 5
oh...
actually i misread the question here as
25% has 4
35% has 2
and so on....
so rest can have any.....

anyway, clear now
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