Standard Error Calculator

You can use this Standard Error Calculator to calculate the standard error of the mean for a given set of numbers.

Please provide numbers separated by comma (e.g: 1,2,3,4,5), space (e.g: 1 2 3 4 5) or line break and hit the "Calculate" button to see the results.

Standard Error Formula

The Standard Error Calculator uses the following formula:

SE _x = s / sqrt( n )

Where:

SE _x  is the standard error of the mean,

s  is the standard deviation of the sample,

sqrt  is the square root,

n  is the sample size.

Example:  Assume the population standard deviation is 36. Calculate the standard error of the mean for a sample size of 49.

Solution: s = 36, n = 49

SE _x = s / sqrt( n )

SE _x = 36 / √49

SE _x = 36 / 7 = 5.1428

Therefore, the standard error of the mean for a sample size of 49 is 5.1428

You may also be interested in our Percent Error Calculator