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Math & Statistics

Sample Size Calculator

Find the sample size needed for a survey at a target margin of error.

Your inputs

Change any value to update the result instantly.

Math & Statistics
%

Required sample size

385

Unadjusted sample size

385

Z-score

1.96

Formula and working

n = z²p(1−p) ÷ E²

  1. 1

    Collect the inputs

    Expected proportion = 0.5; Desired margin of error = 5 %; Confidence level = 95; Population size (0 = infinite) = 0

  2. 2

    Apply the formula

    n = z²p(1−p) ÷ E²

  3. 3

    Result

    Required sample size = 385

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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