If we take a sample of any size from a population with mean $\mu$
and standard deviation $\sigma$ ,then the standard deviation of the sampling distribution of the sample mean $\bar { x }$ is $\sigma$ .

Question

If we take a sample of any size from a population with mean $\mu$ 
and standard deviation $\sigma$ ,then the standard deviation of the sampling distribution of the sample mean $\bar { x }$ is $\sigma$ .

Quizplus · Accepted Answer

The standard deviation of the sampling distribution of the sample mean, also known as the standard error, is $\sigma / \sqrt{n}$, where $\sigma$ is the population standard deviation and $n$ is the sample size.

If We Take a Sample of Any Size from a Population