Examveda

By which one of the following formula is the standard deviation (s) of natural numbers found in sequence?

A. $$\sigma = \sqrt {\frac{{{N^2} - 1}}{8}} $$

B. $$\sigma = \sqrt {{N^2} - \frac{1}{{12}}} $$

C. $$\sigma = \sqrt {\frac{{{N^2}}}{{12}} - 1} $$

D. $$\sigma = \sqrt {\left( {\frac{1}{{12}}} \right)\left( {{N^2} - 1} \right)} $$

Answer: Option D


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