Standard Error Calculator (High Precision)
About Standard Error Calculator (High Precision)
The Standard Error Calculator is used to calculate the standard error of the mean of a set of numbers (Step by Step).
Standard Error of the Mean
The standard error of the mean is the standard deviation of the sample mean estimate of a population mean. It is usually calculated by the sample estimate of the population standard deviation (sample standard deviation) divided by the square root of the sample size (assuming statistical independence of the values in the sample):
Where:
SEM = standard error of the mean
s = sample standard deviation (see formula below)
n = size (number of observations) of the sample
The following is the sample standard deviation formula:
Where:
s = sample standard deviation
x1, ..., xN = the sample data set
x̄ = mean value of the sample data set
N = size of the sample data set
