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In the rarer case where the mean of the distribution is known, the uncertainty about the standard deviation is given by the formula:



\sigma =\sqrt{\frac{\displaystyle\sum_{i=1}^{n}(x_{i}-\mu)^{2}}{\chi^{2}(n)}}



[This page provides an explanation of the derivation]


The formula:




is used in the model.

The links to the Estimate StDev for Normal Distribution When Mean is Known software specific models are provided here:





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