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Interesting GMATFix Problem-36

by arora007 » Thu Sep 23, 2010 9:55 am
The test scores of 1050 students have a normal distribution. If the average test score is 73 and the standard deviation is 10.5, approximately how many students have a test score less than 62.5?
A)147
B)168
C)205
D)288
E)357
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by sanabk » Thu Sep 23, 2010 12:04 pm
Image

From the attached image, one can say that 68% of the class received a score within 1 standard deviation of the mean (73). This leaves 32% of which 16% are below 1SD of mean (62.5) and 16% are above 1SD of mean (83.5).

The number of students with score less than 62.5 = 16%(1050)=168.
B
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by arora007 » Fri Sep 24, 2010 1:11 am
sanabk wrote:Image

From the attached image, one can say that 68% of the class received a score within 1 standard deviation of the mean (73). This leaves 32% of which 16% are below 1SD of mean (62.5) and 16% are above 1SD of mean (83.5).

The number of students with score less than 62.5 = 16%(1050)=168.
B
Do we need to learn what u have given in this figure, 68%, 16% etc. ?
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by sanju09 » Fri Sep 24, 2010 1:15 am
arora007 wrote:
sanabk wrote:Image

From the attached image, one can say that 68% of the class received a score within 1 standard deviation of the mean (73). This leaves 32% of which 16% are below 1SD of mean (62.5) and 16% are above 1SD of mean (83.5).

The number of students with score less than 62.5 = 16%(1050)=168.
B
Do we need to learn what u have given in this figure, 68%, 16% etc. ?
Well, it's helpful if we really do, but the demonstration here is a treat to watch.
The mind is everything. What you think you become. -Lord Buddha



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