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Math Help - Empirical Rule Question

  1. #1
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    Question Empirical Rule Question

    The distribution of weights of a sample of 1,400 cargo containers is somewhat normal. Based on the Empirical Rule, what percent of weights will be:
    a. Between the mean and plus or minus twice the standard deviation?

    b. Between the mean and minus one standard deviation?

    c. Between the mean and three standard deviations?
    I know that
    68% of data within 1 standard deviation of the mean
    95% of data within 2 standard deviation of the mean
    99.7% of data within 3 standard deviation
    However, I do not know how to get the standard deviation in order to solve these problems without knowing what is in the 1400 sample of data...

    PLEASE HELP!!!!
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  2. #2
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    Quote Originally Posted by kendrick02 View Post
    The distribution of weights of a sample of 1,400 cargo containers is somewhat normal. Based on the Empirical Rule, what percent of weights will be:
    a. Between the mean and plus or minus twice the standard deviation?

    b. Between the mean and minus one standard deviation?

    c. Between the mean and three standard deviations?
    I know that
    68% of data within 1 standard deviation of the mean
    95% of data within 2 standard deviation of the mean
    99.7% of data within 3 standard deviation
    However, I do not know how to get the standard deviation in order to solve these problems without knowing what is in the 1400 sample of data...

    PLEASE HELP!!!!
    You don't need to know the standard deviation!

    a. Between the mean and plus or minus twice the standard deviation? Answer: 95% of data within 2 standard deviation of the mean.

    etc.
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