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Variance and Standard Deviation - Standard Deviation of a Discrete Frequency Distribution

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notes

The given discrete frequency distribution be 
`x : x_1,   x_2,     x_3 ,. . . , x_n` 
`f : f_1,    f_2,     f_3 ,. . . ,  f_n`
In this case standard deviation  

(σ) = \[\sqrt{{\frac{1}{N}}\displaystyle\sum_{i=1}^{n} f_i (x_i - \bar{x} )^2} \] 

where N = \[\displaystyle\sum_{i=1}^{n} f_i\].

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