Confidence Interval for a Mean

Calculate Confidence Interval for a Mean instantly. Free online calculator with the exact formula, a worked example, and metric units. No signup required.

Confidence Interval for a Mean

Mean
σ
n
CI95% half-width
5.3677
CI: [94,63, 105,37]z = 1.96Calculate Confidence Interval for a Mean instantly. Free online calculator with the exact formula, a worked example, and metric units. No signup required.

More about: Confidence Interval for a Mean

What it calculates

The “Confidence Interval for a Mean” calculator computes CI95% half-width from 3 parameters: mean, σ, n.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters Mean = 100, σ = 15, n = 30 the result is 5.37 (CI: [94,63, 105,37]).

How to use

  1. Enter mean, σ and n — each field above is adjustable with a slider.
  2. CI95% half-width is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Confidence Interval for a Mean calculated?
The Confidence Interval for a Mean calculator computes CI95% half-width from mean, σ, n. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Confidence Interval for a Mean calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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