Question

Provide a general definition/description of what the estimated standard error of the mean

(SEM) is.

Answer 1

Provide a general definition/description of what the estimated standard error of the mean

(SEM) is.

The standard error of a statistics is the approximate standard deviation of a statistical sample population . The standard error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation .

in statistics a sample mean deviates from the actual mean of population this deviation is the standard error of the mean .

## SEM tells us how accurate our estimate of the mean is likely to be calculated by the standard deviation of the observations divided by the square root of the sample size

## the standard deviation (SD) measures the amount of variability of dispersion , for a subject set of data from the mean while the standard error of the mean (SEM ) measures how far the sample mean of the data is likely to be from the true population mean . SEM is always smaller than the SD