Sample Standard Deviation Given Population Standard Deviation
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Sample Standard Deviation Given Population Standard Deviation. X̄ is the mean value of the sample; S refers to sample standard deviation;

N is the number of observations;
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. Sometimes it's nice to know what your calculator is doing behind the scenes. In the population standard deviation formula above, x is a data point, x (read x bar) is the arithmetic mean, and n is the. A higher standard deviation indicates values that tend to be further from the mean, while a lower.
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