Standard Deviation Calculator
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Confidence Intervals Approximation, If sampling distribution of the mean follows normal distribution

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Standard Deviation
The following is the definition of the standard definition σ, also called population standard deviation if the entire population can be measured, where µ is the expectation, x_{i} is one sample value, and N is the total number of samples. σ^{2} is called variance.
One can find the standard deviation of an entire population in cases where every member of a population is sampled. In most cases, this cannot be done. The standard deviation σ is estimated by examining a random sample taken from the population.
Sample Standard Deviation
The most common estimator for σ used is an adjusted version, the sample standard deviation, denoted by "s" and defined as follows. s^{2} is the sample standard variance.