Free Confidence Interval Calculator
Confidence interval for a sample mean.
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Result
95% confidence interval
95.351 to 104.649
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Short answer
Confidence interval for a sample mean.
What is the Confidence Interval Calculator?
Confidence interval for a sample mean.
How does the Confidence Interval Calculator work?
Enter the inputs above and read the result.
Formula
Variables
zCritical value for confidence levelsSample standard deviation
Explanation
The interval is expected to contain the true population mean with the stated confidence, assuming a roughly normal sampling distribution.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Confidence Interval Calculator sits inside the Math Calculators hub, in the statistics & probability cluster. Describing data and quantifying uncertainty. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Confidence Interval
Confidence interval for a sample mean. Within math calculators, confidence interval belongs to the statistics & probability cluster, where it shares terminology and assumptions with closely related tools.
Learning how confidence interval is calculated
The interval is expected to contain the true population mean with the stated confidence, assuming a roughly normal sampling distribution. Working through the variables one at a time — z, s — makes the result reproducible by hand and easier to sanity-check.
Using confidence interval to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How confidence interval compares with related measures
distribution, dispersion, significance, sample all describe adjacent aspects of statistics & probability. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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