What Is the Confidence Interval Calculator?
Calculate a normal-approximation confidence interval for a population mean.
Use this guide to enter the correct information, understand the result, compare realistic scenarios, and continue with related tools.
How to Use the Confidence Interval Calculator
- Enter or select Sample mean using the unit shown beside the field.
- Enter or select Sample standard deviation using the unit shown beside the field.
- Enter or select Sample size using the unit shown beside the field.
- Enter or select Critical z-value (1.96 for 95%) using the unit shown beside the field.
- Select Calculate, or review the live result if the calculator updates automatically.
- Change one input at a time to compare another realistic scenario.
Information You May Need
- Sample mean: use the best available value and confirm the unit before calculating.
- Sample standard deviation: use the best available value and confirm the unit before calculating.
- Sample size: use the best available value and confirm the unit before calculating.
- Critical z-value (1.96 for 95%): use the best available value and confirm the unit before calculating.
Understanding Your Result
The result is based on the values and options entered. Review the units and assumptions, then compare another scenario when the decision is important.
Review the units and assumptions before using the result. When the answer affects a purchase, project, health choice, financial commitment, or technical decision, compare more than one scenario.
Practical Example
Enter a realistic starting scenario, calculate the result, and then change one input at a time. This makes it easier to see which value has the greatest effect.
Helpful Tips
- Enter accurate values and confirm the units before calculating.
- Try more than one scenario to understand how each input affects the result.
- Use the result as a practical estimate and verify critical decisions with an appropriate professional or source.
Common Mistakes to Avoid
- Entering values in the wrong units.
- Using estimates that do not match the real situation.
- Rounding too early or overlooking an important input.
Frequently Asked Questions
What does the Confidence Interval Calculator do?
Calculate a normal-approximation confidence interval for a population mean.
How accurate is this calculator?
The formula uses the values you enter. Accuracy depends on correct inputs, consistent units, realistic assumptions, and whether the calculator matches your situation.
Can I compare different scenarios?
Yes. Change one input at a time and calculate again to see which value has the greatest effect on the result.
Should I round the inputs?
Use the most accurate inputs available and round the final result only as much as your decision or project requires.
Recommended Resources
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Content reviewed: July 2026 · Simple Calculator Tools Editorial Team