Standard Deviation Calculator

What is the standard deviation?

Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance. The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean.It is denoted by the Greek symbol sigma σ

Standard Deviation Formula

Standard deviation is calculated as the square root of the variance.

Sample Standard Deviation formula

• S denotes to sample standard deviation
• n is the number of observations
• x_i is the observed values of the sample item
• x̄ is the mean value of the sample

Population Standard Deviation formula

• σ denotes to population standard deviation
• N is the number of observations
• x_i is the observed values of the population item
• μ is the mean value of the population