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Reference table

Standard Error Table: Standard error of the mean by Standard deviation

Reference table of standard error of the mean for Standard Error across a range of standard deviation values — exact, engine-computed figures you can read off at a glance.

By Vikram Iyer, M.Sc Mathematics · Updated Jun 2026 · 1 min read

This standard error reference table shows the standard error of the mean for a range of standard deviation values, assuming a sample size of 30. Every figure is computed with the same engine that powers our Standard Error Calculator, so the numbers are exact.

Standard deviationStandard error of the mean
3.80.6938
7.51.3693
112.0083
152.7386
234.1992
305.4772
458.2158
7513.6931
11020.0832
15027.3861

How to use this table

Find the row closest to your standard deviation and read across to the standard error of the mean. For a value between two rows, the real figure sits between them — or enter your exact numbers in the Standard Error Calculator for a precise answer.

Need a value that is not in the table? — the Standard Error Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring math calculators with these tools: Margin of Error Calculator, Sample Size Calculator, Confidence Interval Calculator, Coefficient of Variation Calculator, Regular Heptagon Area Calculator.

Calculators in this guide

Frequently asked questions

Each cell is computed with the standard formula using exact arithmetic — the same calculation behind our Standard Error Calculator — so every figure is accurate for the stated assumptions.

Yes. The table covers common standard deviation values; for any exact figure, enter your own numbers in the Standard Error Calculator.

Vikram Iyer · M.Sc Mathematics

Vikram Iyer is a mathematics educator with over fifteen years of teaching experience, specialising in making quantitative concepts clear and practical for everyday use.