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What is the median number of employees assigned per project [#permalink]
22 Mar 2005, 13:27

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

32% (01:54) correct
68% (00:39) wrong based on 25 sessions

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,b individually are insufficient, together also they do'nt provide enough informations as we still do'nt kow about the remaining 40% of projects, as to what are they uptoo!!
_________________

i hate when people do'nt post the OA, it leaves in guessing!!!!

I would go with C.
35% of the projects have 2 or less members, 25% of the projects have 4 or more members. Remaining 40% of the projects will have 3 members. Therefore using the information provided by 1 and 2 I can say that median will be 3.

E.
we cannot say that the rest 40% companies have 3 emplyoees because we do not have any information about that. these 40% companies could have more than 3 employees.

Hi MA,
I belive that we can say that rest of the projects(40%) will have 3 members. Can any value other than 3 be assigned for the number of pepole taking place in the remaining projects?
My answer is no.

"25% of the projects have 4 or more members", for me construct an upper limit. It doesn't matter #of people participating to the project is 100, 200, they are eventually one number. We are not taking the average. We should be mostly concerned with how many observations will be on the left side and on the right side. This way we can figure the observation takes place in the middle.

1. 25 projects would have > 4 employees
2. 35 projects would have < 2 employees

Neither 1 nor 2 specifies that they are the upper or lower limits.

The rest of the 40 projects could have
a. > 4 employees, i.e. maybe 5, 6,7 ..or any other greater value
b. <2 employees, i.e. maybe 1 employee each (0 would not make sense anyway)
c. between 2 & 4 employees, i.e. 3 employees each

In the above three cases a, b & c, the medians would differ and hence both together are not sufficient to answer the question.
_________________

The ability to focus attention on important things is a defining characteristic of intelligence.
--by Robert J. Shiller

The rest of the 40 projects could have a. > 4 employees, i.e. maybe 5, 6,7 ..or any other greater value

Now stem (1) says:

Quote:

25 percent of the projects at Company Z have 4 or more employees assigned to each project

In your case you have more than 40 projects that have more than 4 employees. It is directly contrary to what (1) says. If (1) is true, your case a cannot be true. Same thing with your case b. Only c remains.

It is C. The question asked for median not mean and therefore you do not need to know the actual numbers of employee working on the project.

Assume you have 100 projects, 25 projects are done by 4 or more employees, 35 projects are done by 2 or less employees. That means the remaining 40 projects are done by 3 employees exactly.

Since you have 100 projects, you median will be project number 50 which is worked on by 3 employees.

E. we cannot say that the rest 40% companies have 3 emplyoees because we do not have any information about that. these 40% companies could have more than 3 employees.

Of course there are 3 people @ each of remaining projects. Other possibilities are covered by statements (1) & (2)

Guys, what if: 1. There are some employees who are involved with both kind of projects (such as Delivery Managers, Directors, HR etc) 2. There are certain freshers/new employee/people on bench , because it is not mentioned all employee are involved in some projects

It is C. The question asked for median not mean and therefore you do not need to know the actual numbers of employee working on the project.

Assume you have 100 projects, 25 projects are done by 4 or more employees, 35 projects are done by 2 or less employees. That means the remaining 40 projects are done by 3 employees exactly.

Since you have 100 projects, you median will be project number 50 which is worked on by 3 employees.

Hence, C

IMO, this is the correct explanation. I will go with C.

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.

Question asks for "median number of employees per project"

suppose there are 100 projects as per (1), 25 projects have 4 or more employees i.e. 4, 5, 6, 25 etc. as per (2), 35 projects have 2 or fewer i.e. 2, 1

Combining 1 & 2, 40 project have exactly 3 employees.

If you combine above 2, how can you derive the median number of employees per project?

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.

Question asks for "median number of employees per project"

suppose there are 100 projects as per (1), 25 projects have 4 or more employees i.e. 4, 5, 6, 25 etc. as per (2), 35 projects have 2 or fewer i.e. 2, 1

Combining 1 & 2, 40 project have exactly 3 employees.

If you combine above 2, how can you derive the median number of employees per project?

Please clarify, as I feel the answer should be E.

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).

One query : while considering median, we need to arrange the numbers in sequence, i guess.

If there are 20 projects, 1) 35% i.e. 7 projects have value as 4,5,6,7,8,8,8 2) 25% i.e. 5 projects have value as 1,2,2,2,0 3) 40% i.e. 8 projects have value as 3,3,3,3,3,3,3,3

So to derive the median, are we suppose to arrange the number in sequence i.e. ascending ?

One query : while considering median, we need to arrange the numbers in sequence, i guess.

If there are 20 projects, 1) 35% i.e. 7 projects have value as 4,5,6,7,8,8,8 2) 25% i.e. 5 projects have value as 1,2,2,2,0 3) 40% i.e. 8 projects have value as 3,3,3,3,3,3,3,3

So to derive the median, are we suppose to arrange the number in sequence i.e. ascending ?

0,1,2,2,2,3,3,3,3,3,3,3,3,4,5,6,7,8,8

Is my understanding correct Bunuel?

If a set has odd number of terms the median of a set is the middle number when arranged in ascending or descending order; If a set has even number of terms the median of a set is the average of the two middle terms when arranged in ascending or descending order.

So if there are 20 projects, 35% i.e. 7 projects have 2 or fewer employees assigned to each project, for example: 0, 0, 1, 1, 1, 2, 2; 40% i.e. 8 projects have exactly 3 employees assigned to each project: 3, 3, 3, 3, 3, 3, 3, 3; 25% i.e. 5 projects have 4 or more employees assigned to each project, for example: 4, 5, 6, 7, 8;