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A's grade was the 90th percentile of the class. Of the 100

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A's grade was the 90th percentile of the class. Of the 100 [#permalink] New post 27 Dec 2008, 00:19
A's grade was the 90th percentile of the class. Of the 100 grades from another class, 19 were higher than A, and rest were lower. If no other grade was same as A, then A's grade was what percentile of the grades of the two classes combined.

a) 72nd
b) 80th
c) 81st
d) 85th
e) 92nd
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kris

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Re: what is A's Percentile ? [#permalink] New post 27 Dec 2008, 03:00
Since there is no information about the number of students in class 1, assume there are 100 students to make the calculations easy:

Class 1: A is at 90th percentile so there are 10 student higher than A
10
A
89

Class 2: A has 19 students higher than him
19
A
80

Combining: Out of the total ( actually199 students, since A is appearing once in each)
29
A
169

that makes 170th out 199(~200 students) which is 85th percentile.

Is that the right answer??
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Re: what is A's Percentile ? [#permalink] New post 27 Dec 2008, 03:28
The answer is right but I missed one additional info in the question i.e. there are 80 grades in A's class.

Do you arrive at different answer with this infof?
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Re: what is A's Percentile ? [#permalink] New post 27 Dec 2008, 03:31
Ok.. I got the explanation. Thanks a lot mate.
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Re: what is A's Percentile ? [#permalink] New post 27 Dec 2008, 10:04
krishan wrote:
Ok.. I got the explanation. Thanks a lot mate.



BTW whats the explanation ?
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Re: what is A's Percentile ? [#permalink] New post 27 Dec 2008, 22:57
krishan wrote:
The answer is right but I missed one additional info in the question i.e. there are 80 grades in A's class.

Do you arrive at different answer with this infof?



you get the same answer, follow the same logic
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Re: what is A's Percentile ? [#permalink] New post 28 Dec 2008, 14:03
amopk wrote:
Since there is no information about the number of students in class 1, assume there are 100 students to make the calculations easy:

Class 1: A is at 90th percentile so there are 10 student higher than A
10
A
89

Class 2: A has 19 students higher than him
19
A
80

Combining: Out of the total ( actually199 students, since A is appearing once in each)
29
A
169

that makes 170th out 199(~200 students) which is 85th percentile.

Is that the right answer??


Good one. If the answers were closer 85, 86 I would have gotten this wrong. We have to remember that no one scores in the 100th percentile.
Re: what is A's Percentile ?   [#permalink] 28 Dec 2008, 14:03
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A's grade was the 90th percentile of the class. Of the 100

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