Standard Error Calculator
Calculate the standard error of a sample mean given the sample standard deviation and sample size.
Published by:
isCalculator Editorial Team
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How to use this tool?
Follow these steps to calculate the standard error of your sample mean:
- Enter Sample Standard Deviation (s): Type the standard deviation of your sample into the first field. This must be a non-negative number (e.g., 5.2).
- Enter Sample Size (n): Type the number of observations in your sample into the second field. This must be a whole number greater than or equal to 1 (e.g., 30).
- Click "Calculate Standard Error": The calculator will compute the standard error using the formula
SE = s / √n. - View the Result: The standard error value (rounded to 4 decimal places) and the step-by-step calculation will appear below.
Note: The calculator works with any consistent unit (metric or imperial). Ensure your standard deviation and sample size are from the same dataset.
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Frequently Asked Questions
Standard error (SE) measures the precision of a sample mean estimate of a population mean. It is the standard deviation of the sampling distribution of the mean.
Standard error is calculated as the sample standard deviation divided by the square root of the sample size: SE = s / √n.
A smaller standard error indicates a more precise estimate of the population mean. The threshold depends on the context and the scale of the data.
