Statistics / Calculator 18

Standard Error of Mean

Standard error describes the sampling variability of a mean under independent sampling. Larger samples reduce this quantity at a square-root rate.

Your inputs

Standard Error of Mean

Statistics · 2 inputs

Calculated result2units
Example result
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How to use this calculator

  1. Enter sample standard deviation in units.
  2. Enter sample size in count.
  3. Select Calculate and keep the output unit with the answer.

Before you use the answer

Choose the reference quantity before interpreting the number. A ratio, a percentage and a percentage-point difference may use the same observations while answering different questions. For recorded data, keep the original values beside the summary so an unexpected result can be traced back to its inputs.

The formula assumes independent observations and an appropriate sample standard deviation.

Does it save my inputs?

No calculation history is stored by this website. The calculator works locally in your browser. See the privacy policy for hosting and contact details.

Why might a result be approximate?

Measurement uncertainty, ideal-model assumptions and floating-point rounding can all matter. Displaying more digits does not improve the original measurement.

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