Calcupedia

Confidence Interval Calculator

Statistics

Calculate the confidence interval for a sample mean given the sample size, mean, and standard deviation.

Ad · Billboard
-1,000,0001,000,000
01,000,000
21,000,000

Lower Bound

48.04

The lower end of the confidence interval.

Margin of Error

1.960

The plus-or-minus range around your sample mean.

Upper Bound

51.96

The upper end of the confidence interval.

Share result
Reload calculator
Clear inputs

Found this calculator useful?

From Scratch To $10K/Month In 60 Days

This is a proven money making system that takes students by the hand to make at least $10,000 per month, every month. Students get 12 weeks of guided coaching in addition to the "MPS Super Funnel" and tools.

We value your privacy and promise not to sell or misuse your information. Here's our privacy policy.

Calculator Stats

Odeh Ahwal

Creators

Odeh Ahwal
Reviewed and verifiedThis calculator was reviewed and verified by the Calcupedia due diligence team.

0people find this calculator helpful

Views

Helpful

Saved

Embeds

Like
Share
Embed this calculator
Cite
Save
Ad · 300×250
Ad · 300×250

Frequently Asked Questions

What is a confidence interval?

A confidence interval is a range of values that likely contains the true population value. A 95% confidence interval means that if you repeated the study many times, 95% of the calculated intervals would contain the true mean.

How does sample size affect the confidence interval?

Larger sample sizes produce narrower, more precise confidence intervals because they reduce the standard error. Smaller samples produce wider, less precise intervals.

What confidence level should I choose?

95% is the most commonly used confidence level, balancing precision and reliability. Use 99% when errors are costly and you need extra certainty.

Spot a mistake? Tell us what's wrong.

Don't see what you need?

Request a calculator. The most-requested ones get built first in our monthly batch.

Request a calculator

Want this calculator on your website?

Embed the Confidence Interval Calculator on any site — no code needed. Customize colors, remove branding, and track usage.

Embed it free →
Embed on any platform — Next.js, React, Vue.js, PHP, Laravel, Shopify, Wix, Webflow, Squarespace, and more