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Confidence Interval

Calculate confidence intervals

How It Works

A confidence interval is an estimated range of likely values for a population parameter. It is calculated from the sample statistics and provides an interval estimate rather than a single value.

In statistics, a confidence interval is an estimated range of likely values for a population parameter. For example, with a 95% confidence level, if the same population were sampled multiple times, approximately 95% of the calculated intervals would contain the true population parameter. The width of a confidence interval depends on the sample size, confidence level, and variability within the sample.

When the population standard deviation is known, the formula uses the z-score. When only the sample standard deviation is known and the sample is large (n ≥ 30), the z-score provides a good approximation.

Results

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Quick Tips

  • • Results update automatically as you type
  • • Use Tab to navigate between fields
  • • Press Enter to calculate

Frequently Asked Questions

How does the Confidence Interval work?
Simply enter your values into the input fields above. The Confidence Interval uses standard formulas to compute results instantly as you type or click.
Is the Confidence Interval free?
Yes, this calculator is completely free to use. No registration, no hidden fees, no limits.
How accurate are the results?
Results are computed using industry-standard mathematical formulas. For critical decisions, we recommend consulting a professional.
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