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meanstandard-deviation

Can we calculate range of a data if we only know mean, SD and N?

Can we calculate range of a data if we only know mean=42.2, SD=9.61 and N=43? Thank you, Mitra

Solution

  • Generally speaking, in order to estimate the range of your data, you need to know the distribution of the data, the mean and the standard deviation.

    There are some particular/special cases whereby knowing only the mean, SD and N you can find the range but I do not think that this applies to your case unless I miss something. Think that you have the following equations:

    1. (X1+X2+...+X43)/43 = 42.2
    2. ((X1-mean)^2+...+(X43-mean)^2)/(43-1) = 9.61^2

    and you need to find the min and max Xi.