Classic tool

Confidence Interval Calculator

Calculate a confidence interval, margin of error and standard error from sample mean, standard deviation and sample size.

Use this confidence interval calculator to estimate the range where the true mean is likely to fall based on sample data. It is useful for practical statistics, surveys, A/B testing, academic reports, quality control and any analysis where you need to present uncertainty clearly.

Enter the sample mean, standard deviation, sample size and confidence level. The tool returns the interval estimate, lower and upper bounds, margin of error, standard error and the critical value used in the calculation.

  • Useful for quick 90%, 95% and 99% confidence checks.
  • Helps compare precision across smaller and larger samples.
  • Shows the applied formula for review or reporting.

For speed, the calculator uses common z critical values. For very small samples or formal inference, you may also want to compare the result with a Student’s t interval when that better matches your methodology.

Uses standard z critical values for 90%, 95% and 99%. For small samples, treat the result as a quick approximation.

SummaryEnter the mean, standard deviation and sample size to calculate the interval.
Estimated interval
Lower bound
Upper bound
Margin of error
Standard error
Critical value
Applied formulaCI = mean ± z × (std / √n)

Use clear inputs to get a more useful result.

How to use Confidence Interval Calculator

Open the tool, fill in the fields with the data you already have and generate the result step by step. If you want to compare scenarios, change one field at a time so it is easier to understand the impact of each value.

When Confidence Interval Calculator is useful

The goal here is simple: Calculate a confidence interval, margin of error and standard error from sample mean, standard deviation and sample size. It works well for quick checks, planning, study and review before you move to a final decision or document.

What to review before using the result

Check units, labels, numbers, timing and any context that can change the meaning of the output. If the result will be used in a quote, technical task, published page or report, finish with a manual review.

Frequently asked questions

What should I prepare before using the tool?

Keep the key values, labels and units ready before filling in the fields. Cleaner inputs make the final result easier to review and compare.

Can I test different scenarios on the same page?

Yes. The safest approach is to change one field at a time, compare the outputs and note which value actually changes the final answer.

Is the result ready to use without checking it?

It is better to treat it as support. Review the output once more before using it in a quote, document, spreadsheet, technical task or published page.