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Reference table

Margin of Error Table: Margin of error by Sample size

Reference table of margin of error for Margin of Error across a range of sample size 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 margin of error reference table shows the margin of error for a range of sample size values, assuming a proportion of 0.5 and a confidence level of 95% (z = 1.96). Every figure is computed with the same engine that powers our Margin of Error Calculator, so the numbers are exact.

Sample sizeMargin of error
2506.20%
5004.38%
7503.58%
1,0003.10%
1,5002.53%
2,0002.19%
3,0001.79%
5,0001.39%
7,0001.17%
10,0000.98%

How to use this table

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

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

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

Calculators in this guide

Frequently asked questions

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

Yes. The table covers common sample size values; for any exact figure, enter your own numbers in the Margin of 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.