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Sample Size Calculator

Find how many survey responses you need for a chosen margin of error.

Your details

Result

Sample size needed

385

Without population correction
385
Critical z
1.960

Good to know: n = z² p(1−p) ÷ e²

About this tool

Formula

n = z² p(1−p) ÷ e²

Questions people ask

Why use 50% as the expected proportion?

It gives the largest sample size, so it is the safe choice when you don't know the true proportion.

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How we calculate this

We use the standard published formula or definition for this calculation, and we show the working so you can check it.

Spotted a mistake? Tell us and we'll check it. How we check our calculators