The sample variance, s², is used to calculate how varied a sample is. In statistics, a data sample is a set of data collected from a population. Typically, the population is very large, making a complete enumeration of all the values in the population impossible. Here is a free online arithmetic standard deviation calculator to help you solve your statistical questions. This can also be used as a measure of variability or volatility for the given set of data. Enter the set of values in the online SD calculator to calculate the mean, standard deviation, variance and population standard deviation. The calculator above computes population standard deviation and sample standard deviation, as well as confidence interval approximations. Population Standard Deviation. The population standard deviation, the standard definition of σ, is used when an entire population can be measured, and is the square root of the variance of a given data set. In cases where every member of a population can be sampled, the following equation can be used to find the standard deviation of the entire population:

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