Standard Error Calculator
Instructions: This standard error calculator allows you to compute a standard error, showing all the steps. Please provide the population standard deviation (σ) and the sample size (n):
More About the Standard Error
The standard error \(se\) corresponds to the standard deviation of the sample mean. Let us recall that if we take a sample \(X_1\), \(X_2\), ..., \(X_n\), in which each each \(X_i\) is a random variable with population standard deviation \(\sigma\), then the sample mean
\[ \bar X = \sum_{i=1}^n X_i\]is also a random variable, with a standard deviation equal to \(\frac{\sigma}{\sqrt n}\). This standard deviation of the sampling distribution of sample mean is called the standard error \(s_e\).
