Standard Error of the Mean
Estimate the standard error from independent sample observations.
Your numbers
Standard error
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
Use SE = s/√n. s is sample standard deviation and n is the number of independent observations. Standard error describes variability of a sample mean, not the spread of individual observations.
Estimate the standard error from independent sample observations.
Worked example
- Sample observations
- 10, 20, 30
- Standard error
- 5.7735026919
- Sample standard deviation
- 10
- Sample size
- 3
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 399326338cf6 · Example checked: