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# What is the median number of employees assigned per project

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Manager
Joined: 05 Jan 2009
Posts: 76
What is the median number of employees assigned per project [#permalink]

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01 Jul 2009, 11:41
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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. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Senior Manager
Joined: 04 Jun 2008
Posts: 286
Re: What is the median? [#permalink]

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01 Jul 2009, 12:00

None of the statements are giving any concrete information.

Anything that would give us exact number of employees in the central values would help. ie, number of employees in the projects having central values in the range.

OA?
Manager
Joined: 16 Apr 2009
Posts: 219
Schools: Ross
Re: What is the median? [#permalink]

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01 Jul 2009, 14:07
Quote:
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.

Stat 1
25 percent of the projects at Company Z have 4 or more employees assigned to
each project.
No info on rest of the projects

stat 2
35 percent of the projects at Company Z have 2 or fewer employees assigned to
each project.
No info on rest of the projects

combining stat 1 and stat 2.

Rest of the 40 percent of the projects may have 3 employees but as we don't know the exact number of employees, we can't find the median number of employees.

I assume the answer may be E..
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Manager
Joined: 30 May 2009
Posts: 213
Re: What is the median? [#permalink]

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01 Jul 2009, 19:52
Am I missing something here...I think the answer should be C.

If 75% of the projects have less than 4 and 65% have greater than 2 => the median has to be whatever is the number of employees for the 50% of the projects. And in this case the only number that is >2 and <4 is 3.

So the median is 3 employees per project, since we cannot 3.5 persons (non integers) on a project...

Also, we dont need the number of projects here, because we are not asked the mean/average. We are asked to find the median...

What is the OA???
Senior Manager
Joined: 04 Jun 2008
Posts: 286
Re: What is the median? [#permalink]

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01 Jul 2009, 20:00
sdrandom1 wrote:
Am I missing something here...I think the answer should be C.

If 75% of the projects have less than 4 and 65% have greater than 2 => the median has to be whatever is the number of employees for the 50% of the projects. And in this case the only number that is >2 and <4 is 3.

So the median is 3 employees per project, since we cannot 3.5 persons (non integers) on a project...

Also, we dont need the number of projects here, because we are not asked the mean/average. We are asked to find the median...

What is the OA???

statements are not saying more than 4, less than 2

they say 4 OR more,, 2 OR fewer
Manager
Joined: 30 May 2009
Posts: 213
Re: What is the median? [#permalink]

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01 Jul 2009, 20:05
Yes rashimnet, I understand that....

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.

I am rephrasing the given stmts to below -

(1) Doesnt stmt 1 imply that 75% have < 4 employees...?
(2) Doesnt stmt 2 imply that 65% have > 2 employees...?

Now going by the two stmtys together, can't we say that median (which is what 50% of projects have) is 3
Senior Manager
Affiliations: ACA, CPA
Joined: 26 Apr 2009
Posts: 428
Location: Vagabond
Schools: BC
WE 1: Big4, Audit
WE 2: Banking
Re: What is the median? [#permalink]

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01 Jul 2009, 20:25
I dont think you can infer that.

Stat 1 says - 25 percent of the projects at Company Z have 4 or more employees assigned to
each project.

You say - Doesnt stmt 1 imply that 75% have < 4 employees...?

Note the word 4 or more. doesn't mean less than 4. It could be less than 5 also.

sdrandom1 wrote:
Yes rashimnet, I understand that....

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.

I am rephrasing the given stmts to below -

(1) Doesnt stmt 1 imply that 75% have < 4 employees...?
(2) Doesnt stmt 2 imply that 65% have > 2 employees...?

Now going by the two stmtys together, can't we say that median (which is what 50% of projects have) is 3

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Manager
Joined: 30 May 2009
Posts: 213
Re: What is the median? [#permalink]

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01 Jul 2009, 20:53
Guys whats going on....-:)

Either I am totally a dumbo and should stop studying for GMAT...or I am too stubborn to let go....

I still think it is C.

25% have >= 4 employees implies 75% have <4 employees. Isn't that simple?

Plsssssss post the OA?
Manager
Joined: 17 Apr 2009
Posts: 142
Re: What is the median? [#permalink]

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02 Jul 2009, 06:37
HI Sdrandom1,
I think (C) is not the answer.

As soon as you infer that 75% have <4 employees you are including the (b)stmnts 35% employees in that 75% also.This 35% have 2 or fewer employees which contradicts your rephrased stmnt.

Thus ans has to be (E)
Manager
Joined: 30 May 2009
Posts: 213
Re: What is the median? [#permalink]

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02 Jul 2009, 08:17
guys....just search for this uqestion in google...you will find tons of posts....everywhere the answer is C.

Not sure why there is so much confusion...can any of the Math forum moderators help please??? I strongly think C should be the answer.

This is just one of the example site -
http://www.beatthegmat.com/median-question-t8140.html
GMAT Tutor
Joined: 24 Jun 2008
Posts: 1346
Re: What is the median? [#permalink]

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02 Jul 2009, 10:13
sdrandom1 wrote:
Yes rashimnet, I understand that....

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.

I am rephrasing the given stmts to below -

(1) Doesnt stmt 1 imply that 75% have < 4 employees...?
(2) Doesnt stmt 2 imply that 65% have > 2 employees...?

Now going by the two stmtys together, can't we say that median (which is what 50% of projects have) is 3

Yes, it's clearly C. The wording you use above (when you say that the median 'is what 50% of projects have') is not technically correct, however. To find the median, you're looking for the 'middle number', so I think what you meant was that you were looking for the value in the 50th percentile. Here, of course, we have, using both statements:

25% have 4 or more employees
40% have exactly 3 employees
35% have 2 or fewer employees

So the number in the middle must be 3 -- certainly 50% of the values are 3 or greater, and 50% are 3 or less, so 3 must be the median.
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Manager
Joined: 30 May 2009
Posts: 213
Re: What is the median? [#permalink]

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02 Jul 2009, 10:27
Thanks a ton, Ian. Yep what I meant was the 50th number/percentile...
If I had got wrong on this one, I swear I would have quit studying for GMAT.....
Senior Manager
Joined: 04 Jun 2008
Posts: 286
Re: What is the median? [#permalink]

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02 Jul 2009, 10:31
sdrandom1 wrote:
Guys whats going on....-:)

Either I am totally a dumbo and should stop studying for GMAT...or I am too stubborn to let go....

I still think it is C.

25% have >= 4 employees implies 75% have <4 employees. Isn't that simple?

Plsssssss post the OA?

Thank god you didn't "give up", else i would have never realized my mistake
Re: What is the median?   [#permalink] 02 Jul 2009, 10:31
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