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Sigma in Summation & Standard Deviation

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Standard Deviation – Mathematics GCSE Revision

Standard deviation (3)

Show that the two formulae the standard deviation of ungrouped data:sigma=sqrt {dfrac {1}{n} displaystyle sum (x_i -bar X)^2} and sigma'=sqrt {dfrac {1}{n} displaystyle sum x_i^2 -bar X^2} are equivalent, where bar X=dfrac {

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