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What is the difference between standard deviation and standard error and what is the formula relating...

What is the difference between standard deviation and standard error and what is the formula relating the two measures?

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Standard deviation is defined as a spread measure of a set of values that is the spread from the mean of the required valued. The standard error on the other hand is defined as the spread of the sample mean values of the given set of data. By Central limit theorem the distribution of the sample means is given as: (for large enough sample size n)

Therefore the formula relating the 2 measures here is given as:

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