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What is the median number of employees assigned per project [#permalink]
 04 May 2012, 02:20
Question Stats:
62% (01:50) correct
37% (00:54) wrong based on 15 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
Last edited by Bunuel on 04 May 2012, 02:26, edited 1 time in total.
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Re: What is the median number of employees assigned per project [#permalink]
04 May 2012, 02:46
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ITIZCODE wrote: 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 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. Not sufficient on its own. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project. Not sufficient on its own. (1)+(2) Since 35% of of the projects have 2 or fewer ( \leq{2})employees and 25% of the projects have 4 or more ( \geq{4}) employees, then 100%-(25%+35%)=40% of the projects have exactly 3 employees assigned to each of them. So, the median number of employees assigned per project is 3. Sufficient. Answer: C. To elaborate more: 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. Hope it's clear. P.S. Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/ and DS questions in the DS subforum: gmat-data-sufficiency-ds-141/ No posting of PS/DS questions is allowed in the main Math forum.
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Re: What is the median number of employees assigned per project [#permalink]
06 May 2012, 16:08
Will vote for C
let total be "x" projects i.e 100% projec
(A) 25% projects has number of employees >= 4
- we dont know anything about other 75% projects
(B) 35% project has number of employees <= 2
- we dont know anything about other 65% projects
(C)
for 35% --> No. of emp <= 2
for 25% --> No. of emp >= 4
based on above data we can calculate that
Remaining 40% of projects --> No. of emp = 3 (which is between 2 < no. of emp < 4)
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Re: What is the median number of employees assigned per project [#permalink]
28 Aug 2012, 13:30
Thanks for the reply! Finally got this one.
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Re: What is the median number of employees assigned per project [#permalink]
30 Aug 2012, 20:42
bunuel sir great reply ... your approach to the answers by taking apt samples scare me i feel like i just cant do it without error
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What is the median number of employees assigned per project [#permalink]
10 Dec 2012, 14:11
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 Ruled out quickly A,B,D. remained with C, E. chose E. then looked here: what-is-the-median-number-of-employees-assigned-per-project-131892.htmland i still dont understand bunuel's way. why the employees who are not in the 25% or 35% must have exactly 3 employees? thanks
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Re: What is the median number of employees assigned per project [#permalink]
11 Dec 2012, 03:47
roygush wrote: 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 Ruled out quickly A,B,D. remained with C, E. chose E. then looked here: what-is-the-median-number-of-employees-assigned-per-project-131892.htmland i still dont understand bunuel's way. why the employees who are not in the 25% or 35% must have exactly 3 employees? thanks 25% of company Z projects have 4 or more that (4,5,6,....) 35% of company z projects have 2 or less (0,1,2 )... there must b 3 employees per project of company z which consists of (25+35=60) and 100-60=40%.. 0,1,2 must be first 35 projects 3 employees for next 40 project and 4 or more than 4 employees for remaning 25 projects..
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Re: What is the median number of employees assigned per project [#permalink]
11 Dec 2012, 04:43
ITIZCODE wrote: 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 Ans: : Median is the middle value. Statements 1 and 2 alone give us insufficient data but when we combine both of them we see that 25 % have 4 or more and 35% have 2 or less therefore 40 %have 3 employees. Therefore the median would be 3 and the answer is (C). 
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Re: What is the median number of employees assigned per project [#permalink]
27 Dec 2012, 09:24
Bunuel wrote: ITIZCODE wrote: 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 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. Not sufficient on its own. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project. Not sufficient on its own. (1)+(2) Since 35% of of the projects have 2 or fewer ( \leq{2})employees and 25% of the projects have 4 or more ( \geq{4}) employees, then 100%-(25%+35%)=40% of the projects have exactly 3 employees assigned to each of them. So, the median number of employees assigned per project is 3. Sufficient. Answer: C. To elaborate more: 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. Hope it's clear. P.S. Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/ and DS questions in the DS subforum: gmat-data-sufficiency-ds-141/ No posting of PS/DS questions is allowed in the main Math forum. I Did not understand this. How can you deduce about the 40% of the projects based on the information given. The problem just says 25% of the projects have 4 or more. 35% of the projects have 2 or less. So it does not talk anything about 40%. 40 % can be 5,6,7 or anything right?? Could you explain it in detail.
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Re: What is the median number of employees assigned per project [#permalink]
27 Dec 2012, 10:37
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rajathpanta wrote: Bunuel wrote: ITIZCODE wrote: 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 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. Not sufficient on its own. (2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project. Not sufficient on its own. (1)+(2) Since 35% of of the projects have 2 or fewer ( \leq{2})employees and 25% of the projects have 4 or more ( \geq{4}) employees, then 100%-(25%+35%)=40% of the projects have exactly 3 employees assigned to each of them. So, the median number of employees assigned per project is 3. Sufficient. Answer: C. To elaborate more: 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. Hope it's clear. P.S. Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/ and DS questions in the DS subforum: gmat-data-sufficiency-ds-141/ No posting of PS/DS questions is allowed in the main Math forum. I Did not understand this. How can you deduce about the 40% of the projects based on the information given. The problem just says 25% of the projects have 4 or more. 35% of the projects have 2 or less. So it does not talk anything about 40%. 40 % can be 5,6,7 or anything right?? Could you explain it in detail. 35 of the projects have 2 or fewer employees. 25 of the projects have 4 or more employees. How many employees can be assigned to the remaining 40 projects? The ranges \leq{2} and \geq{4} are covered, thus the remaining 40 projects have 3 employees assigned to them. Hope it's clear.
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Re: What is the median number of employees assigned per project [#permalink]
03 Jan 2013, 23:06
1st 35% are either 1 or 2 and last 25% are 4 and above
hence 35 - 75% should be 3
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Re: What is the median number of employees assigned per project [#permalink]
13 Apr 2013, 03:02
Aren't we assuming here that, statement 1 and 2 refer to highest 25 and bottom 35 percent of the employees, couldn't it be first 35 % then the next 25% and the remaining 40% with unknown number of employees per project, then the median will lie in 4 or more employees, we do not have any particular value and hence E as the correct answer.
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Re: What is the median number of employees assigned per project [#permalink]
13 Apr 2013, 03:14
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raxsin12 wrote: Aren't we assuming here that, statement 1 and 2 refer to highest 25 and bottom 35 percent of the employees, couldn't it be first 35 % then the next 25% and the remaining 40% with unknown number of employees per project, then the median will lie in 4 or more employees, we do not have any particular value and hence E as the correct answer. Statement 2 and 1 must refer to the bottom and to the highest part. "couldn't it be first 35 % then the next 25% and the remaining 40%"? NO. The first 35% have 2 or fewer (till here correct), but then your reasoning goes against the info in statement 1. What you are saying is that 25%+40%= 65% has 4 or more employees => wrong, look at statement 1: (1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project. Hope it's clear P.S: Welcome to GMAT Club!
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Re: What is the median number of employees assigned per project [#permalink]
13 Apr 2013, 03:37
Thanks for the welcome and the explanation! Its clear now.....
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Re: What is the median number of employees assigned per project
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13 Apr 2013, 03:37
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