What is the formula of standard deviation?

The formula for the standard deviation of a set of n data values (x1, x2, x3, …, xn) is:

σ = √(∑(xi – μ)^2 / n)

where

  • μ is the mean of the data values, and
  • ∑ represents the sum over all values from i = 1 to n.

The standard deviation is an important statistic that is widely used in many fields, including finance, biology, engineering, and social sciences, among others.

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