employees assigned per project

[gmat740]

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.

[THE_BOSS]

I assume this is a Data sufficiency question and I would choose E. Neither states on their own nor combining the statements will lead to a solution. Not enough information is given.

[codesnooker]

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.

Answer should be (C).

35% of projects have 2 or fewer employees
25% of projects have 4 or more employees

Hence, 40% of projects will have 3 employees.

So median will be always 3.

[shahdevine]

answer c.

statement 1)

1/4 have 4 or more...insufficient

statement 2)

7/20 have 2 or less.insufficient

Combined.

Median is number that's positioned in middle. so terms that are distributed most will have median. 2/5 or 40% of projects have to have 3 workers assigned. so median is in that 40%.

sufficient.

C

[gmat740]

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.

Answer should be (C).

35% of projects have 2 or fewer employees
25% of projects have 4 or more employees

Hence, 40% of projects will have 3 employees.

how did you arrive at this conclusion??
I want to know the reasoning behind.

So median will be always 3.

[arora007]

is it C ?

[SVashisth]

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.

Answer should be (C).

35% of projects have 2 or fewer employees
25% of projects have 4 or more employees

Hence, 40% of projects will have 3 employees.

So median will be always 3.

I may be missing something here but why can't 40% of projects have 5 or more employees or only 1 employee for that matter

[GMATGuruNY]

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.

Plug in projects = 100.

Statement 1:
25 projects have 4 or more employees.
Thus, projects 76-100 have 4 or more employees.
No way to determine the median.
Insufficient.

Statement 2:
35 projects have 2 or fewer employees.
Thus, projects 1-35 have 2 or fewer employees.
No way to determine the median.
Insufficient.

Statements 1 and 2 together:
Projects 1-35 have 2 or fewer employees and Projects 76-100 have 4 or more employees.
Thus, projects 36-75 have more than 2 but fewer than 4 = 3 employees.
Median = 3.
Sufficient.

The correct answer is C.

[aspire2011]

I don't get it too...the question does not say that 25% is at the higher band or that the 35% is at the lower band. (Although we can deduce 25% band is higher than the 35% band).

Why can't the rest 100-(25+35)=40% be at an even higher band (eg 5 employees or more) ?

[edvhou812]

I don't get it too...the question does not say that 25% is at the higher band or that the 35% is at the lower band. (Although we can deduce 25% band is higher than the 35% band).

Why can't the rest 100-(25+35)=40% be at an even higher band (eg 5 employees or more) ?

I muffed up on this question too and picked E. Sounds like they want us to assume that the middle projects will have less than four, but more than two.

[GMATGuruNY]

I don't get it too...the question does not say that 25% is at the higher band or that the 35% is at the lower band. (Although we can deduce 25% band is higher than the 35% band).

Why can't the rest 100-(25+35)=40% be at an even higher band (eg 5 employees or more) ?

Statement 1: 25% of the projects have each been assigned 4 or more employees.
Thus, if a project has been assigned 5 employees, or 6 employees, or 100 employees -- or any number of employees 4 or greater -- then it is contained within this 25%.

Statement 2: 35% of the projects have each been assigned 2 or fewer employees.
Thus, if a project has been 2 employees or 1 employee, it is contained within this 35%.

Statements 1 and 2 combined:
Thus, every project that has not been assigned 4 or more employees or 2 or fewer employees -- in other words, every project that has been assigned exactly 3 employees -- is contained with the remaining 100-25-35 = 40%.

Listing the projects in increasing order, we get:

1,1,1,1,2,2,2,2....3,3,3,3,3,3,3.....4,5,5,6,7,8....
<----35%-->....<----40%----->....<---25%--->

Median = 3.
Sufficient.

The correct answer is C.