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Open toolCochran Sample Size Calculator
Estimate an initial proportion sample size as ceiling(z²p(1−p)/e²). Large-population simple random sampling approximation.
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Enter the inputs, then select Calculate.
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How Cochran Sample Size Calculator works
Estimate an initial proportion sample size as ceiling(z²p(1−p)/e²).
Large-population simple random sampling approximation. Supply the critical value; no finite-population correction. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.
How to use Cochran Sample Size Calculator
Follow the labelled inputs.
Enter normal critical value z
Replace the example with normal critical value z. The field labels specify the expected format and units.
Input and settings
Check the remaining inputs
Set assumed proportion p, absolute margin of error. Large-population simple random sampling approximation.
Tool result
Run, review and save
Select Calculate. Review the calculated result, then copy it or download the result text.
Review the details
Examples and uses for Cochran Sample Size Calculator
Check the supplied example
The starting example produces 385. Estimate an initial proportion sample size as ceiling(z²p(1−p)/e²).
Use your own inputs
Read the labels for normal critical value z and assumed proportion p, absolute margin of error. Large-population simple random sampling approximation.
Record a reviewed result
Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.
How to read the result
Read the units and assumptions with the output.
Estimate an initial proportion sample size as ceiling(z²p(1−p)/e²).
Large-population simple random sampling approximation. Supply the critical value; no finite-population correction. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.
Supported input and limits
Check the stated scope before you run it.
Large-population simple random sampling approximation. Supply the critical value; no finite-population correction. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.
The input stays in this browser. Copy result and Download save the same displayed text.
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Open toolCochran Sample Size Calculator: common questions
Answers about using Cochran Sample Size Calculator and understanding its results.
What inputs and assumptions apply?
Large-population simple random sampling approximation. Supply the critical value; no finite-population correction. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.
How can I save the result?
Copy result copies the displayed text. Download saves the same text as a TXT file. Processing runs in this browser without an account.
Calculate with your input
Check the calculated result, then copy or download it.