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Can normality be calculated from mean and SD Watch

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    Is it possible for someone to work out the normality of data based on study size, mean and standard deviation?


    Right now I have a mean that is larger than my SD (which in itself is quite large) and wanted to know if one can say if the data is normal, non normal based on this.
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    (Original post by Moonkin)
    Is it possible for someone to work out the normality of data based on study size, mean and standard deviation?


    Right now I have a mean that is larger than my SD (which in itself is quite large) and wanted to know if one can say if the data is normal, non normal based on this.
    The mean and SD measure two completely different things, so comparing the two isn't really meaningful or useful as a test for normality, You can test for the plausibility of normality by checking things like the percentage of data more than n standard deviations away from the mean.

    There is also something called the "chi squared goodness of fit test" which may or may not be useful - look it up and see if it can be used with your data.
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    (Original post by Moonkin)
    Is it possible for someone to work out the normality of data based on study size, mean and standard deviation?


    Right now I have a mean that is larger than my SD (which in itself is quite large) and wanted to know if one can say if the data is normal, non normal based on this.
    No. The knowledge of every moment, not just the first two, is required to determine if it is normal.


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