Q.7.31 - Elementary Statistics

Question

What is another name for the standard deviation of the variable $\overline{x}$ ? What is the reason for that name?

Step-by-Step Solution

Answer

The sampling error is indicated by the standard deviation of the sample mean (sampling error).

Step 1: Given Information

The standard deviation of the variable $\overline{x}$.

Step 2: Explanation

The standard error is the label given to the variable $\overline{x}$'s standard deviation.

Standard deviation, on the other hand, is a measure of dispersion. It gives a sense of how far the observations deviate from the mean value.

As a result, the sample standard deviation means The level of dispersion divergence of sample means from the mean of sample means, i.e. population means $\mu$, is shown by $\overline{x}$.