Data Sufficiency

35. 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 and B are insufficient.
My initial answer was E...
But there is a way to get the answer by combining the two statements -

If 25% of the projects have 4 or more employees and 35% have 2 or less employees then that must leave 40% of projects having 3 employees. So the median would be 3.

If we order the employees by project -
1st 35% will be "2 or less employees/project"
next 40% will be "exactly 3 employees/project". So, 50% value will definitely lie in this interval. So, median number of employees/project is 3

So after much deliberation my answer is C
What is the OA?

arocks wrote:A and B are insufficient.
My initial answer was E...
But there is a way to get the answer by combining the two statements -

If 25% of the projects have 4 or more employees and 35% have 2 or less employees then that must leave 40% of projects having 3 employees. So the median would be 3.

If we order the employees by project -
1st 35% will be "2 or less employees/project"
next 40% will be "exactly 3 employees/project". So, 50% value will definitely lie in this interval. So, median number of employees/project is 3

So after much deliberation my answer is C
What is the OA?

It is not specified any mutual exclusion in the Question.
The employee of one prj can be a part of another project tooo.....

I would go for E.
by the way what is the OA???

I Agree with Arocks, If an employee is a part of say 3 projects, then he would be counted for all three, now since we dont need to find the nos of employees in the organisation, but the median of nos of employees working for projects, so this will do i.e the same employee counted for 3 projects which he is a part, so I would answer it as C.

cognos wrote: It is not specified any mutual exclusion in the Question.
The employee of one prj can be a part of another project tooo.....
I would go for E.
by the way what is the OA???

Here overlap does not matter, just the number of employees that are assigned

For ex even if there are just 20 employees, the assigment could be as follows:
5 employees for 3 projects, 2 for 5 projects and 1 for 2 projects
So: 1,1,2,2,2,2,2,5,5,5

Clearly there is an overlap--irrelevant to answer the question