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Math Help - Standard Deviation question

  1. #1
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    Standard Deviation question

    I know that the standard deviation of X is sqrt of the variance of X.

    How do I find the standard deviation of (aX + b) if X has a variance of σ^2?
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  2. #2
    MHF Contributor matheagle's Avatar
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    V(aX+b)=a^2V(X) do you want a proof?

    So, \sigma_{aX+b}=|a|\sigma_X

    since \sqrt{a^2}=|a|
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