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.
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employees assigned per project
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codesnooker
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Answer should be (C).gmat740 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.
35% of projects have 2 or fewer employees
25% of projects have 4 or more employees
Hence, 40% of projects will have 3 employees.
So median will be always 3.
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shahdevine
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answer c.
statement 1)
1/4 have 4 or more...insufficient
statement 2)
7/20 have 2 or less.insufficient
Combined.
Median is number that's positioned in middle. so terms that are distributed most will have median. 2/5 or 40% of projects have to have 3 workers assigned. so median is in that 40%.
sufficient.
C
statement 1)
1/4 have 4 or more...insufficient
statement 2)
7/20 have 2 or less.insufficient
Combined.
Median is number that's positioned in middle. so terms that are distributed most will have median. 2/5 or 40% of projects have to have 3 workers assigned. so median is in that 40%.
sufficient.
C
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gmat740
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codesnooker wrote:Answer should be (C).gmat740 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.
35% of projects have 2 or fewer employees
25% of projects have 4 or more employees
Hence, 40% of projects will have 3 employees.
how did you arrive at this conclusion??
I want to know the reasoning behind.
So median will be always 3.
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arora007
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is it C ?
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I may be missing something here but why can't 40% of projects have 5 or more employees or only 1 employee for that mattercodesnooker wrote:Answer should be (C).gmat740 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.
35% of projects have 2 or fewer employees
25% of projects have 4 or more employees
Hence, 40% of projects will have 3 employees.
So median will be always 3.
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GMATGuruNY
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Plug in projects = 100.gmat740 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.
Statement 1:
25 projects have 4 or more employees.
Thus, projects 76-100 have 4 or more employees.
No way to determine the median.
Insufficient.
Statement 2:
35 projects have 2 or fewer employees.
Thus, projects 1-35 have 2 or fewer employees.
No way to determine the median.
Insufficient.
Statements 1 and 2 together:
Projects 1-35 have 2 or fewer employees and Projects 76-100 have 4 or more employees.
Thus, projects 36-75 have more than 2 but fewer than 4 = 3 employees.
Median = 3.
Sufficient.
The correct answer is C.
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aspire2011
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I don't get it too...the question does not say that 25% is at the higher band or that the 35% is at the lower band. (Although we can deduce 25% band is higher than the 35% band).
Why can't the rest 100-(25+35)=40% be at an even higher band (eg 5 employees or more) ?
Why can't the rest 100-(25+35)=40% be at an even higher band (eg 5 employees or more) ?
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edvhou812
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I muffed up on this question too and picked E. Sounds like they want us to assume that the middle projects will have less than four, but more than two.aspire2011 wrote:I don't get it too...the question does not say that 25% is at the higher band or that the 35% is at the lower band. (Although we can deduce 25% band is higher than the 35% band).
Why can't the rest 100-(25+35)=40% be at an even higher band (eg 5 employees or more) ?
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GMATGuruNY
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Statement 1: 25% of the projects have each been assigned 4 or more employees.aspire2011 wrote:I don't get it too...the question does not say that 25% is at the higher band or that the 35% is at the lower band. (Although we can deduce 25% band is higher than the 35% band).
Why can't the rest 100-(25+35)=40% be at an even higher band (eg 5 employees or more) ?
Thus, if a project has been assigned 5 employees, or 6 employees, or 100 employees -- or any number of employees 4 or greater -- then it is contained within this 25%.
Statement 2: 35% of the projects have each been assigned 2 or fewer employees.
Thus, if a project has been 2 employees or 1 employee, it is contained within this 35%.
Statements 1 and 2 combined:
Thus, every project that has not been assigned 4 or more employees or 2 or fewer employees -- in other words, every project that has been assigned exactly 3 employees -- is contained with the remaining 100-25-35 = 40%.
Listing the projects in increasing order, we get:
1,1,1,1,2,2,2,2....3,3,3,3,3,3,3.....4,5,5,6,7,8....
<----35%-->....<----40%----->....<---25%--->
Median = 3.
Sufficient.
The correct answer is C.
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My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
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