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Statistics

Finite Population Sample Adjustment Calculator

Adjust an initial sample size for a finite population.

Data stays on this deviceConvention explained below
Data explorer
Data explorer

Check the dataset and sample convention before interpreting results.

See the method

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Runs on your device

Your statistical summary

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter unadjusted sample size, population size.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
Unadjusted sample sizeWhole numbers only. Minimum: 1. Maximum: 1000000.385
Population sizeWhole numbers only. Minimum: 1. Maximum: 100000000.1000

Result for these sample inputs

279 observations

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

The method, explained

Adjusted n = ceil[n0/(1 + (n0 − 1)/N)].

A WORKED EXAMPLE

Using unadjusted sample size = 385, population size = 1000, the result is 279 observations. Change these example inputs to match your task; use the method above to check each step.

What to keep in mind

A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.

Methodology maintained by ClarityKit. How these tools are built and checked.