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13 Oct 2011, 03:03
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E
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75% (02:23) correct
25%
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wrong
based on 4
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At Capetown college out of the 400 students taking Psychology 101 received an average score of 76 on the final exam, and the scores had a normal distribution. The bottom 16 percent of scores will receive a failing grade. If 8 students receive a score of 97 or higher, what is the score at or below which student fail the course?
a.35 b.40 c.55 d.62 e.66
Okay I dont know the answer but here is the logic I used ......i dont think its correct help me where I am wrong
Mean=76
8 Students received 97 or higher
P(x>97) = 8/400
P(X>97)=2%
100-2%=98%
Since 98% of the values in the distribution lie within 3 standard deviation of the mean
Hence
97-3(s.d)=76
s.d=7
16% failed hence (100-16%)/2 = 42%+42%= 84% which lies between 1 standard deviation or 2 standard deviation for approximation i use 2
hence
76-2*7= 62 ( I subtract cause its about failing )
what do you all say? some say answer is 66?
a.35 b.40 c.55 d.62 e.66
Okay I dont know the answer but here is the logic I used ......i dont think its correct help me where I am wrong
Mean=76
8 Students received 97 or higher
P(x>97) = 8/400
P(X>97)=2%
100-2%=98%
Since 98% of the values in the distribution lie within 3 standard deviation of the mean
Hence
97-3(s.d)=76
s.d=7
16% failed hence (100-16%)/2 = 42%+42%= 84% which lies between 1 standard deviation or 2 standard deviation for approximation i use 2
hence
76-2*7= 62 ( I subtract cause its about failing )
what do you all say? some say answer is 66?
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04 Nov 2011, 00:53
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8 students scoring 97 that means, 8/400 * 100 = 2%
and mean is 76 = (97-x)/2
152 = 97-x
x = 55 , i.e. two deviations away from mean i.e. 2 dev = (76-55)/2 and 1 dev = 10 appx
16 % fail = 84 % pass i.e. one deviation less than mean i.e. 76-10 = 66, Hence E
and mean is 76 = (97-x)/2
152 = 97-x
x = 55 , i.e. two deviations away from mean i.e. 2 dev = (76-55)/2 and 1 dev = 10 appx
16 % fail = 84 % pass i.e. one deviation less than mean i.e. 76-10 = 66, Hence E
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THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.
If you would like to discuss this question please re-post it in the respective forum. Thank you!
To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
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11 May 2018, 08:54
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