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Mathematics 23 Online
OpenStudy (anonymous):

The scores on an exam are normally distributed, with a mean of 85 and a standard deviation of 5. What percent of the scores are from 85 to 95?

OpenStudy (anonymous):

Have you seen this before? http://img.tfd.com/mk/D/X2604-D-41.png

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

but im just confused on how it works

OpenStudy (anonymous):

basically it shows how much of the data is within so many standard deviations of the means. Your mean is 85, that's 0 deviations away. The standard deviation is 5, so 95 would be 2 standard deviations away. Does that make sense?

OpenStudy (anonymous):

uh well im not really sure what a standard deviation is to be honest

OpenStudy (anonymous):

it's a measure of how spread out the data is. If it's small, then a lot of the scores would be really close to the mean. If it's big, then the data is more spread out

OpenStudy (anonymous):

so the data in this case would be spread out by 5

OpenStudy (anonymous):

sort of. the graph up above only works for normal distributions, meaning most of the data is falls within 5 points of the mean. Specifically 68%

OpenStudy (anonymous):

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