How To Calculate Variance?

Identify the data set: (x_1, x_2, dots, x_n)

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

Compute deviations from the mean: (d_i=x_i-bar{x})

Square deviations: (d_i^2=(x_i-bar{x})^2)

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

Choose the variance formula:

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

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

Report the variance value ((sigma^2) or (s^2))

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