The standard error of the mean is the standard deviation of a distribution of sample means.

Name: The standard error of the mean is the standard deviation of a distribution of sample means.
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The standard error of the mean measures how much the sample means you would expect to differ from the true population mean, and it is indeed the standard deviation of the distribution of those sample means (also known as the sampling distribution of the mean).

The Standard Error of the Mean Is the Standard Deviation