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anonymous

  • one year ago

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?

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  1. anonymous
    • one year ago
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    Have you seen this before? http://img.tfd.com/mk/D/X2604-D-41.png

  2. anonymous
    • one year ago
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    yes

  3. anonymous
    • one year ago
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    but im just confused on how it works

  4. anonymous
    • one year ago
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    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?

  5. anonymous
    • one year ago
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    uh well im not really sure what a standard deviation is to be honest

  6. anonymous
    • one year ago
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    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

  7. anonymous
    • one year ago
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    so the data in this case would be spread out by 5

  8. anonymous
    • one year ago
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    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%

  9. anonymous
    • one year ago
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    |dw:1435969260712:dw|

  10. anonymous
    • one year ago
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    If we were to label the graph with numbers from your problem 85 would go in the middle because that's the mean

  11. anonymous
    • one year ago
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    since the standard deviation is 5, you can add labels to the right increasing by 5 and labels to the left decreasing by 5

  12. anonymous
    • one year ago
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    make sense?

  13. anonymous
    • one year ago
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    so to the the percentage from 85 to 95 you just add 34 and 13?

  14. anonymous
    • one year ago
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    right

  15. anonymous
    • one year ago
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    cool i got it! thank you so much!!

  16. anonymous
    • one year ago
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    you're welcome

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