What is the median number of employees assigned per project

not enough information for either A or B. If we combined Together i am guessing 55% of the projects have atleast 2 people in each project so the median falls in this range...so the answer may be C ?

nilesh376 what is the answer?. Can someone explain this clearly?.

Bunuel or somebody else can you please suggest your thoughts ?

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.


(1)+(2) 40% of the projects have exactly 3 employees assigned to each of them, as no other option is left for 100%-(25%+35%)=40% of the projects.

Consider there are 100 projects: \(\{p_1, p_2, ... ,p_{100}\}\). The values of \(p_1\) to \(p_{35}\) will be 0, 1, or 2; the values of \(p_{36}\) to \(p_{75}\) will be exactly 3; the values of \(p_{76}\) to \(p_{100}\) will be 4 or more. \(Median=\frac{p_{50}+p_{51}}{2}=\frac{3+3}{2}=3\).

For example list can be: \(\{2, 2, 2, ...,(p_{35}=2), (p_{36}=3), 3, ...,(p_{75}=3), (p_{76}=4), 4, ...,(p_{100}=4)\}\);
OR:
\(\{0, 0, 1,1,1,2, 2, ...,(p_{35}=2), (p_{36}=3), 3, ...,(p_{75}=3), (p_{76}=4), 5,7, 27, ...,(p_{100}=10000)\}\) (of course there are a lot of other breakdowns).

In any case median=3.

Answer: C.

Hope it's clear.

Got it . Thanks Bunuel ... as always..

Pls explain in breif the following question, thanx in advance

What is the median number of employees assigned per project for the projects at Company Z?

A. 25 percent of the projects at Company Z have 4 or more employees assigned to each project
B. 35 percent of the projects at Company Z have 2 or fewer employees assigned to each projects

I myself find Bunuel's answer is clear, but not fully satisfactory. The question asks for median value, so the total number of project should be significant. It is quite obvious to figure out that 40% of the projects is conducted by 3 employees.
Let's call total number of projects N, since 0.25*N, 0.40*N, and 0.35*N are intergers (since they are number of projects), N must be a positive multiple of 20. Therefore N is greater or equal than 20 projects. Let's take N=20 for instance:
- 7 projects with strictly less than 3 employees
- 8 projects with exactly 3 employees
- 5 projects with strictly more than 3 employees
Therefore, the median value is equal to 3.

What is the meadian 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

I think C. 1) does not tell you about median nor does 2). However together they account for 50%. The remaining 50% of projects must have employees 3, and hence median 3

1) 25% of projects have 4+ members
- 25% 4+ members
- 75% less than 4 members
Alone its not sufficient

2) 35% of projects have 2 or less
- 35% of projects have 2 or less members
- 65% of projects have more than 2 members
Alone not sufficient

Both:
25% have 4 or more
35% have 2 or less
40% have 3 exactly meaning that more projects have 3 members than any other number. You have your median but need both statements to complete.

C

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