How To Find Standard Deviation?

Collect the data values: (x_1, x_2, dots, x_n)

Compute the mean: (bar{x}=frac{1}{n}sum_{i=1}^{n} x_i)

Compute squared deviations: ((x_i-bar{x})^2)

Sum squared deviations: (sum_{i=1}^{n}(x_i-bar{x})^2)

Population standard deviation:

(sigma=sqrt{frac{1}{n}sum_{i=1}^{n}(x_i-bar{x})^2})

Sample standard deviation:

(s=sqrt{frac{1}{n-1}sum_{i=1}^{n}(x_i-bar{x})^2})

If using software/calculators, choose population vs sample based on whether you divide by (n) or (n-1)

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