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-   -   Statistics - portion of population above 1 standard deviation from the mean (https://www.askmehelpdesk.com/showthread.php?t=610222)

  • Nov 7, 2011, 11:27 AM
    jcwgosooners
    Statistics - portion of population above 1 standard deviation from the mean
    Scores on a university exam are normally-distributed with a mean of 68 and a standard deviation of 9. Using the 68-95-99.7 rule, what percent of students score above 77?
  • Nov 7, 2011, 11:36 AM
    ebaines
    Note that a score of 77 is 9 points above the mean. And since the standard deviation of scores ins 9 points, this means a score of 77 is one standard deviation above the mean. The "68-95-99.7 rule" refers to the percentage of the population that are less than 1, 2 and 3 standard deviations above the mean. The question essentially asks what percentage lies above 1 standard deviation. Can you finish this now?
  • Nov 7, 2011, 12:18 PM
    jcwgosooners
    No lol
  • Nov 7, 2011, 12:22 PM
    jcwgosooners
    Would it be 2.5?
  • Nov 7, 2011, 12:31 PM
    ebaines
    Quote:

    Originally Posted by jcwgosooners View Post
    Would it be 2.5?

    How did you get 2.5?

    You know that 68% of the population has a score of 77 or less. So what percent of the population has a score above 77?
  • Nov 7, 2011, 12:43 PM
    jcwgosooners
    So its 32?
  • Nov 7, 2011, 01:26 PM
    ebaines
    Quote:

    Originally Posted by jcwgosooners View Post
    So its 32?

    Bingo!

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