standard Deviation and Variation

Discussion in 'CT3' started by asmkdas, Dec 13, 2012.

  1. asmkdas

    asmkdas Member

    standard Deviation(x)=[1/(n-1)[E(x^2)-E^2(x)]]^(1/2)
    standard Deviation(x)=[1/n[E(x^2)-E^2(x)]]^(1/2)

    Which one is to accept and at what ground?

    [Here E represents Summation]
     
    Last edited by a moderator: Dec 13, 2012
  2. Slumpy

    Slumpy Member

    n-1 is for the standard deviation of a sample, n is for the distribution as a whole.
     
  3. freddie

    freddie Member

    The notation you use is a bit confusing but the final term on the top of the expression should be n x (xbar)^2, where xbar is the sample mean.

    When calculating the sample variance (s^2) we divide by n-1 so that it is an unbiased estimate of the population variance.
     

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