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Empirical rule

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  • #49928

    mete
    Participant

    In normal distribution curve, Mean+/- 1std deviation =68.26% of the data points, Mean+/- 2std deviation =95.4% and so on.
    My querry is how these values were achieved/derived? Is there any formula for the same?

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    #171406

    Ryan
    Member

    The probability density function for the Gaussian (Normal) Distribution is:
     
     
     
    where,
    f(x) = vertical height of a point on the normal distribution
                x = distance along the x axis
                ó = standard deviation of the data distribution
    µ = mean of the distribution
    e = exponential constant = 2.71828
    ð = pi = 3.14159

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    #171411

    BTDT
    Participant

    Ryan:This is my favourite version of the equation. It drives the point that it’s all about the money.Cheers, Alastair

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