anonymous
  • 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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Have you seen this before? http://img.tfd.com/mk/D/X2604-D-41.png
anonymous
  • anonymous
yes
anonymous
  • anonymous
but im just confused on how it works

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anonymous
  • 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?
anonymous
  • anonymous
uh well im not really sure what a standard deviation is to be honest
anonymous
  • 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
anonymous
  • anonymous
so the data in this case would be spread out by 5
anonymous
  • 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%
anonymous
  • anonymous
|dw:1435969260712:dw|
anonymous
  • anonymous
If we were to label the graph with numbers from your problem 85 would go in the middle because that's the mean
anonymous
  • anonymous
since the standard deviation is 5, you can add labels to the right increasing by 5 and labels to the left decreasing by 5
anonymous
  • anonymous
make sense?
anonymous
  • anonymous
so to the the percentage from 85 to 95 you just add 34 and 13?
anonymous
  • anonymous
right
anonymous
  • anonymous
cool i got it! thank you so much!!
anonymous
  • anonymous
you're welcome

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