Sample Size for Mean

Calculate Sample Size for Mean instantly with the exact formula and a worked example.

Sample Size for Mean

Confidence level%
Standard deviation σ
Margin of error E (± in measurement units)
Sample size n
97
Calculate Sample Size for Mean instantly with the exact formula and a worked example.
z-value
1.96
Exact value before rounding
96.04

More about: Sample Size for Mean

What it calculates

The “Sample Size for Mean” calculator computes Sample size n from 3 parameters: confidence level (%), standard deviation σ, margin of error e (± in measurement units).

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

Example calculation

With parameters Confidence level = 95 %, Standard deviation σ = 15, Margin of error E (± in measurement units) = 3 the result is 97.

How to use

  1. Enter confidence level, standard deviation σ and margin of error e (± in measurement units) — each field above is adjustable with a slider.
  2. Sample size n 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.

Related calculators

FAQ

How is Sample Size for Mean calculated?
The Sample Size for Mean calculator computes Sample size n from confidence level, standard deviation σ, margin of error e (± in measurement units). Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Sample Size for Mean calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

More calculators in this category

Explore related free tools

ARR / RRR / ORHazard RatioKaplan-Meier SurvivalCox Proportional HazardsGlass's ΔEta-SquaredIndefinite IntegralSurface Area of RevolutionPermutations with RepetitionPigeonhole PrincipleStirling NumberCube Diagonal