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Confidence Interval Calculator

Confidence intervals for means and proportions.

Details

Results

Confidence interval
Margin of error
Lower
Upper

Computed with standard statistical methods in your browser.

How it works

For a mean, the margin of error is z·(SD ÷ √n); for a proportion it’s z·√(p(1−p)/n). The interval is your estimate plus and minus that margin.

Interpretation: a 95% CI means that across many samples, about 95% of such intervals would contain the true value.

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Good to know

FAQs

What is a confidence interval?

A range that likely contains the true population value at a chosen confidence level.

How is the margin of error found?

z × standard error, where the standard error depends on SD (means) or p (proportions).

Should I use z or t?

This tool uses z, which is fine for large samples; very small samples technically use t.

What does 95% confidence mean?

About 95% of intervals built this way would capture the true value over repeated sampling.

Mean or proportion?

Use mean for numeric data and proportion for percentages or yes/no rates.