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Newbie | Next Rank: 10 Posts
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by nakulbatra » Wed Feb 11, 2009 5:37 am
1. Class A and B took a same test. For class A, median score is 80, average score is 82; for class B, median score is 78, average score is 74. Combining A and B, is the average greater than the median?
1). A has 37 students and B has 40 students.
2). A and B have 77 students.
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Source: — Data Sufficiency |
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Re: Average?

by cjb » Wed Feb 11, 2009 6:22 am
nakulbatra wrote:1. Class A and B took a same test. For class A, median score is 80, average score is 82; for class B, median score is 78, average score is 74. Combining A and B, is the average greater than the median?
1). A has 37 students and B has 40 students.
2). A and B have 77 students.
My guess, in which I have little confidence, is this:

1) This will allow the calculation of the new mean. I have no idea if the new median can be derived form this info, but I would guess not, so insufficient.

2) Won't even allow calculation of mean, so certainly insufficient.

So E, and pray.
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Re: Average?

by x2suresh » Wed Feb 11, 2009 6:41 am
nakulbatra wrote:1. Class A and B took a same test. For class A, median score is 80, average score is 82; for class B, median score is 78, average score is 74. Combining A and B, is the average greater than the median?
1). A has 37 students and B has 40 students.
2). A and B have 77 students.
1)
Average = 82*37+74*40/77 = <78

When you combine two classes.. combined median can't be smaller than smallest median of the two classses.

So median >=78.

Sufficient

2)
We don't know the ratio of Class A:B

Not sufficient

A
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