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Math & statistics

Finite population sample correction

Finite population sample correction: Corrected size = ceiling(n₀ / [1+(n₀−1)/N]).

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How it works

Corrected size = ceiling(n₀ / [1+(n₀−1)/N]). Assumes simple random sampling without replacement.

Input definitions

Uncorrected sample size
Enter the value in the labeled unit.
Population size
Enter the value in the labeled unit.

A worked example

Uncorrected sample size
384
Population size
1000
278

Assumptions & limits

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

Does this correct bias in a survey?

No. It adjusts the required sample size for a finite population. Coverage, nonresponse and sampling bias remain separate issues.

How does Finite population sample correction work?

Corrected size = ceiling(n₀ / [1+(n₀−1)/N]). Assumes simple random sampling without replacement.

What should I check before using Finite population sample correction?

Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.

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