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# The graph represents the normally distributed scores on a te

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The graph represents the normally distributed scores on a te [#permalink]  29 Jul 2018, 04:39
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Question Stats:

26% (00:44) correct 73% (00:32) wrong based on 15 sessions
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Capture.PNG [ 61.08 KiB | Viewed 730 times ]

The graph represents the normally distributed scores on a test. The shaded area represents approximately 68% of the scores.

 Quantity A Quantity B The mean score on the test $$550$$

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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Sandy
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Re: The graph represents the normally distributed scores on a te [#permalink]  05 Aug 2018, 14:18
some one please explaing? I thought they would be the same
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Re: The graph represents the normally distributed scores on a te [#permalink]  05 Aug 2018, 14:38
Expert's post
sandy wrote:
Attachment:
Capture.PNG

The graph represents the normally distributed scores on a test. The shaded area represents approximately 68% of the scores.

 Quantity A Quantity B The mean score on the test $$550$$

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.

Given: The shaded area represents approximately 68% of the scores.
In other words, 68% of the area under the curve is shaded.
However, even though it LOOKS like the shaded area is SYMMETRICAL about the mean, we aren't told that. So we cannot assume that that is the case.

....then the mean is 550, in which case the two quantities are EQUAL.

However, it could also be the case that the shaded area is NOT symmetrical about the mean

For example, in the above diagram, 68% of the area under the curve is shaded. HOWEVER, it is not symmetrical about the mean.
In this case, the mean could be something like 530, in which case Quantity B is greater than Quantity A

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

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Joined: 27 Feb 2017
Posts: 189
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Kudos [?]: 53 [0], given: 15

Re: The graph represents the normally distributed scores on a te [#permalink]  08 Aug 2018, 04:58
GreenlightTestPrep wrote:
sandy wrote:
Attachment:
Capture.PNG

The graph represents the normally distributed scores on a test. The shaded area represents approximately 68% of the scores.

 Quantity A Quantity B The mean score on the test $$550$$

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.

Given: The shaded area represents approximately 68% of the scores.
In other words, 68% of the area under the curve is shaded.
However, even though it LOOKS like the shaded area is SYMMETRICAL about the mean, we aren't told that. So we cannot assume that that is the case.

....then the mean is 550, in which case the two quantities are EQUAL.

However, it could also be the case that the shaded area is NOT symmetrical about the mean

For example, in the above diagram, 68% of the area under the curve is shaded. HOWEVER, it is not symmetrical about the mean.
In this case, the mean could be something like 530, in which case Quantity B is greater than Quantity A

Cheers,
Brent

Hi, thanks for the explanation. Could you also please guide me as to which chapter/section this question comes under? I am pretty weak at questions like this and could brush up on the basics for this.
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1899 [0], given: 397

Re: The graph represents the normally distributed scores on a te [#permalink]  08 Aug 2018, 14:07
Expert's post
This question is under statistics.
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Sandy
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Re: The graph represents the normally distributed scores on a te   [#permalink] 08 Aug 2018, 14:07
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