Confidence Interval Calculator

Use this confidence interval calculator to calculate an interval around a sample estimate. Enter sample size, average, variation and confidence level and review a confidence interval around the estimate.

Confidence interval
—
Margin of error —
Standard error —

Assumes a known or estimated population standard deviation and a roughly normal sampling distribution (valid for n ≥ 30 by the Central Limit Theorem).

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How it works

CI = mean ± z × (σ ÷ √n)

How to use the Confidence Interval Calculator

Start by entering sample size, average, variation and confidence level. Keep the units consistent and check that each value belongs to the same question.

The result gives a confidence interval around the estimate. The interpretation depends on the sample and statistical method. Use it as a guide and check any instructions, rules or professional advice that apply.

Frequently Asked Questions

What does this confidence interval calculator calculate?
It gives a confidence interval around the estimate. The interpretation depends on the sample and statistical method.
What information should I enter?
Enter sample size, average, variation and confidence level. Use the same units throughout so the result is easier to understand.
What does the interval mean?
It describes a range produced by the selected method, not a guarantee that every future value falls inside it.