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Mathematics

Margin of Error

Margin of error for surveys

📊Margin of Error Calculator

The margin of error (MOE) quantifies the uncertainty in a survey result. A poll showing 60% support with ±4% MOE means the true population value likely falls between 56–64% at the stated confidence level. MOE shrinks as sample size grows.

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Tip: To halve the margin of error, you need to quadruple the sample size — precision is expensive. Doubling n only reduces MOE by about 30%.

Fun Fact

The margin of error in news reports almost always assumes a perfectly random sample — but most online polls use convenience samples, making the stated MOE statistically meaningless.

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