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What is the Difference between sx and σx in Statistics?

In statistics, sx and σx represent different types of standard deviations:

σx (sigma) represents the population standard deviation. It is a measure of the dispersion of all data points in an entire population. It is calculated using the actual values for every member of the population.

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sx represents the sample standard deviation. It is a measure of the dispersion within a sample (a subset of the population). Since it is based on a sample, the calculation includes a correction factor (dividing by n-1 instead of n, where n is the sample size) to account for the fact that a sample tends to underestimate variability.

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In summary:

Use σx when working with the entire population.

Use sx when working with a sample.

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