# Variance and Standard Deviation - Standard Deviation of a Continuous Frequency Distribution

#### notes

The given continuous frequency distribution can be represented as a discrete frequency distribution by replacing each class by its mid-point.
If there is a frequency distribution of n classes each class defined by its mid-point x_i with frequency f_i, the standard deviation will be obtained by the formula

σ = $\sqrt{{\frac{1}{N}}\displaystyle\sum_{i=1}^{n} f_i (x_i - \bar{x} )^2}$
where bar x is the mean of the distribution and
N =  $\displaystyle\sum_{i=1}^{n} f_i$.

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Standard Deviation Continous series [00:08:41]
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