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The scores for the 500 students who took Ms. Johnson’s fina

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The scores for the 500 students who took Ms. Johnson’s fina [#permalink] New post 22 May 2017, 01:45
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The scores for the 500 students who took Ms. Johnson’s final exam have a normal distribution. There are 80 students who scored at least 92 points out of a possible 100 total points and 10 students who scored at or below 56.

Quantity A
Quantity B
The average (arithmetic mean) score on the final exam
87


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: The scores for the 500 students who took Ms. Johnson’s fina [#permalink] New post 17 Sep 2017, 00:49
How should I proceed with this kind of qustions?
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Re: The scores for the 500 students who took Ms. Johnson’s fina [#permalink] New post 18 Sep 2017, 09:57
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Quote:
Remember that a normal distribution curve has divisions of 34 percent, 14 percent, and 2 percent on each side of the mean. 80 out of 50 is 16 percent, or 14 percent + 2 percent, and 10 out of 500 is 2 percent. Draw a normal distribution curve and label it. There are three standard deviations between 92 and 56, so 92 - 56 = 36, and 36 ÷ 3 = 12. The mean is 92 - 12 = 80, which is smaller than Quantity B.

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Re: The scores for the 500 students who took Ms. Johnson’s fina [#permalink] New post 05 Apr 2018, 10:24
Ummm does that mean 2% of students scored (92+12)= 104 out of 100? ... I think there is something wrong with the question
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Re: The scores for the 500 students who took Ms. Johnson’s fina [#permalink] New post 08 Jul 2018, 02:41
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Let sd be the standard deviation, so 3 sd = (92 - 10) (Think why ?)

sd = 82 / 3

The average would be 92 -sd = 92 - (82/3) which would be less than 87
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Re: The scores for the 500 students who took Ms. Johnson’s fina [#permalink] New post 09 Jul 2018, 18:31
Carcass wrote:



The scores for the 500 students who took Ms. Johnson’s final exam have a normal distribution. There are 80 students who scored at least 92 points out of a possible 100 total points and 10 students who scored at or below 56.

Quantity A
Quantity B
The average (arithmetic mean) score on the final exam
87


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.

answer Is B
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Re: The scores for the 500 students who took Ms. Johnson’s fina [#permalink] New post 09 Jul 2018, 18:31
Carcass wrote:



The scores for the 500 students who took Ms. Johnson’s final exam have a normal distribution. There are 80 students who scored at least 92 points out of a possible 100 total points and 10 students who scored at or below 56.

Quantity A
Quantity B
The average (arithmetic mean) score on the final exam
87


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.

answer Is B
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Re: The scores for the 500 students who took Ms. Johnson’s fina [#permalink] New post 29 Sep 2018, 11:46
Good One. M + SD = 92 and M - 2SD = 56, we need to find out M from here.
Re: The scores for the 500 students who took Ms. Johnson’s fina   [#permalink] 29 Sep 2018, 11:46
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The scores for the 500 students who took Ms. Johnson’s fina

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