How To Find The Standard Deviation?

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

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

Compute squared deviations: ((x_i – mu)^2)

Sum squared deviations: (sum_{i=1}^{n} (x_i – mu)^2)

If using population standard deviation:

(sigma = sqrt{frac{1}{n}sum_{i=1}^{n} (x_i – mu)^2})

If using sample standard deviation:

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

where (bar{x} = frac{1}{n}sum_{i=1}^{n} x_i)

Report the resulting (sigma) (population) or (s) (sample)

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