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Confidence Interval Calculator

Calculate a normal-approximation confidence interval for a sample mean.

95% confidence interval
47.648 to 52.352
margin of error ±2.352
Sample mean50
Standard error1.2
Z critical value1.96
Sample size100

Uses a normal critical value. For small samples with unknown population standard deviation, a t distribution is typically more appropriate.

About the Confidence Interval Calculator

Calculate a normal-approximation confidence interval for a sample mean.

It runs entirely in your browser — nothing you type is sent to a server — and the result updates as you edit the inputs. Estimates are for educational and informational purposes only; see ourdisclaimer.

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