Sample standard deviation, Applied Statistics

Sample Standard Deviation

So far, we discussed the population standard deviation. Now, let us switch to sample standard deviation(s) that is analogous to the population standard deviation ( σ ). To compute sample standard deviation, the same formula given above has been used replacing  μ  with  2390_arithmetic mean.png  and N with n - 1. The modified formula is

s

= 877_sample standard deviation.png

where,

          s       =    Sample standard deviation

           2390_arithmetic mean.png      =    Sample mean

We use n - 1 as the denominator because unless n - 1 is used, the average of the sample variances of all possible samples (which are obtained by squaring standard deviations) will not be equal to the variance of the population from which the samples have been taken.

Posted Date: 9/14/2012 3:19:16 AM | Location : United States







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