Standard error of the mean

Standard error of the mean: use observations. Review the formula, worked example and calculation steps.

Inputs

Use the units shown
RESULT
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Enter your values and select Calculate.

Formula & explanation
SE = sample standard deviation / √n

Variables & units

Observations
comma separated

Worked example

For 1,2,3 the sample standard deviation is 1 and SE is 1/√3.

Assumptions

Assumes independent observations. Standard error is different from the spread of individual values.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

Use the default input values to find the answer. The reset icon restores those values.

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