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Jane scored in the 68th percentile on a test, and John score

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Jane scored in the 68th percentile on a test, and John score [#permalink] New post 29 Jul 2018, 04:27
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Question Stats:

32% (00:27) correct 67% (00:48) wrong based on 56 sessions
Jane scored in the 68th percentile on a test, and John scored in the 32nd percentile.

Quantity A
Quantity B
The proportion of the class that received a score less than John’s score
The proportion of the class that scored equal to or greater than Jane’s score


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Jane scored in the 68th percentile on a test, and John score [#permalink] New post 22 Aug 2018, 22:42
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sandy wrote:
Jane scored in the 68th percentile on a test, and John scored in the 32nd percentile.

Quantity A
Quantity B
The proportion of the class that received a score less than John’s score
The proportion of the class that scored equal to or greater than Jane’s score


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



Solution : It is not mentioned in the question whether a normal distribution or not
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Re: Jane scored in the 68th percentile on a test, and John score [#permalink] New post 02 Sep 2018, 23:27
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adeel wrote:
sandy wrote:
Jane scored in the 68th percentile on a test, and John scored in the 32nd percentile.

Quantity A
Quantity B
The proportion of the class that received a score less than John’s score
The proportion of the class that scored equal to or greater than Jane’s score


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



Solution : It is not mentioned in the question whether a normal distribution or not


It doesn't matter what distribution it is. This question tests the concept of "percentile": if x is at k percentile, then k% of the whole observations are below x.
Intern
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Joined: 05 Sep 2018
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Re: Jane scored in the 68th percentile on a test, and John score [#permalink] New post 05 Sep 2018, 06:40
Simon wrote:
adeel wrote:
sandy wrote:
Jane scored in the 68th percentile on a test, and John scored in the 32nd percentile.

Quantity A
Quantity B
The proportion of the class that received a score less than John’s score
The proportion of the class that scored equal to or greater than Jane’s score


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



Solution : It is not mentioned in the question whether a normal distribution or not


It doesn't matter what distribution it is. This question tests the concept of "percentile": if x is at k percentile, then k% of the whole observations are below x.



Still do not get how both quantities are equal.
1 KUDOS received
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
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Kudos [?]: 1653 [1] , given: 396

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Re: Jane scored in the 68th percentile on a test, and John score [#permalink] New post 05 Sep 2018, 18:12
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Explanation


As pointed out before percentiles have nothing to do with the type of distribution.

Percentiles define the proportion of a group that scores below a particular benchmark. Since John scored in the 32nd percentile, by definition, 32% of the class scored worse than John. Quantity A is equal to 32%.

Jane scored in the 68th percentile, so 68% of the class scored worse than she did. Since 100 – 68 = 32, 32% of the class scored equal to or greater than Jane. Quantity B is also equal to 32%.

Hence C
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Re: Jane scored in the 68th percentile on a test, and John score   [#permalink] 05 Sep 2018, 18:12
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Jane scored in the 68th percentile on a test, and John score

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