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Confidence Interval Calculator

Build a confidence interval for a mean using sample size, spread, and confidence level with z critical values.

Clear formulas
Educational steps
Detail breakdown

Large-n educational CI using z critical; notes sample vs known population SD.

Limitation: Educational inferential statistics.

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How to Use the Confidence Interval Calculator

Large-n educational CI using z critical; notes sample vs known population SD.

1

Open the CI calculator and read field labels.

Match the mode

Educational inferential statistics.

What It Calculates

Large-n educational CI using z critical; notes sample vs known population SD.

Worked Examples

95% CI

Inputs

mean:50
sd:8
n:40
confidenceLevel:95
sdType:sample

Result

≈48.52 to 51.48

ME ≈ 1.48.

99% wider

Inputs

mean:50
sd:8
n:40
confidenceLevel:99
sdType:sample

Result

Wider interval

Higher z*.

Small n note

Inputs

mean:10
sd:2
n:5
confidenceLevel:95
sdType:sample

Result

Educational z CI

Consider t for tiny samples.

Check your mode

Educational inferential statistics.

Frequently Asked Questions

Yes. Results keep the precision shown on the page unless the engine requires integers.

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Formulas

Standard definitions with assumptions noted below.

Formula

x̄ ± z​*​·​(​s​/​√n​)​

Scientific Background

Standard statistics definitions with assumptions stated on-page. Educational only—not professional certification.

Sources & review

Confidence Interval Calculator documents the references behind its formulas and assumptions. Always treat results as educational estimates, not personalized professional advice.

Last reviewed

July 22, 2026

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