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Math Help - Standard Deviation in Normal Distribution is Zero!

  1. #1
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    Standard Deviation in Normal Distribution is Zero!

    Normal distribution - Wikipedia, the free encyclopedia
    http://upload.wikimedia.org/math/9/e...9a0b69fbf6.png

    The very first formula you see, i'm having to use that.
    Basically i'm writing a program for Naive Bayes Classifier.
    One of the classes has a standard deviation of zero.

    Now, i can't divide by Zero...so if something has a S.D is zero, i gather that all value's must equal the mean(which in my case annoyingly is also zero).

    So, if the SD is zero, how can i use the formula there?
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  2. #2
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    When we say variance of a normal is 0 it is typical to just take the distribution to be a point mass at the mean; in your case, this is 0. The distribution is defined by P(X = 0) = 1, and obviously doesn't admit a density.
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