OG # 12 Q-129

[screwdriver]

Hi,

Can you please explain how we will solve below question?

129. 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.

Thanks

[Anurag@Gurome]

Hi,

Can you please explain how we will solve below question?

129. 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.

Thanks

(1) Median is the value that separates the upper and lower half of the sample. (1) gives that 25% of projects have 4 or more employees to each project . But the % of projects that have less than 4 employees is not given. So, (1) is NOT SUFFICIENT.

(2) From this statement, the % of projects that have more than 2 employees is not given. As above, (2) is also NOT SUFFICIENT.

Combining (1) and (2), 35% projects have 2 or fewer employees, 25% of the projects have 4 or more employees, so the remaining % of projects = 100 - (35 + 25) = 40% projects should have exactly 3 employees (between 2 and 4).
Therefore, median number of employees assigned per project = 3

The correct answer is [spoiler](C)[/spoiler].

[screwdriver]

Thanks Anurag!!

That was most lucid explanation.