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Sample Size Calculator

Details

How to use Sample Size Calculator

What the tool does, how to run it, and what to expect from the result.

About this sample size calculator

Cochran’s formula: n₀ = z² × p(1 − p) ÷ e². At 95% confidence (z = 1.96), p = 50% and a ±5% margin: 1.96² × 0.25 ÷ 0.0025 = 384.2, so 385 responses. For a small population N, correct it: n = n₀ ÷ (1 + (n₀ − 1) ÷ N). From 1,000 people you need 278.

At a glance

Who Sample Size Calculator is for

A quick way to understand who this helps, what it solves, and where it connects next.

Best fit

Students, lab workers, electricians and engineers who want the formula and the answer.

Ideal for

Using the sample size calculator without installing anything or signing up.

FAQ

Common questions

Short answers for the questions people usually have before trying a utility like this.

Why use 50% as the expected proportion?

It gives the largest sample, so it is the safe choice when you do not know the answer in advance.

Does a bigger population need a much bigger sample?

No. Above about 20,000 the required sample barely changes: 385 covers a city or a country at 95% ±5%.

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