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Confidence Interval Calculator

Find the confidence interval for a sample mean. Free, private, and runs entirely in your browser.

Enter values and press Calculate to see the result here.

How this is calculated

The margin of error is the z-score times the standard error (standard deviation ÷ √n), added to and subtracted from the mean.

Formula

Margin = z × σ ÷ √n
Interval = Mean ± Margin

Frequently asked questions

What does 95% confidence mean? Across many samples, about 95% of such intervals would contain the true mean.

Small samples? Use a t-distribution instead of z.

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