Sample Size Calculator — Quick & Accurate Online Calculator & Guide
Determine the ideal sample size for surveys and research studies. Adjust for population size, confidence level, and margin of error.
Sample Size
Results below
Enter Values
Target Responses Needed
264
Margin of Error
5%
Z-Score Used
1.645 (90% confidence)
Population
10,000 (medium population)
Scenario Comparison
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Recommended Sample Size
264
1.645 (90% confidence) · 10,000 (medium population)
Formula & Calculation
Step 1: Infinite Population Formula
n₀ = Z² × p × (1-p) / E²
n₀ = 1.645² × 0.5 × 0.5 / 0.05²
n₀ = 271
Step 2: Finite Population Correction
n = n₀ / (1 + (n₀ − 1) / N)
n = 264
Sample Size by Margin of Error
| Margin | ±1% | ±2% | ±3% | ±4% | ±5% | ±10% |
|---|---|---|---|---|---|---|
| n | 4,036 | 1,447 | 700 | 406 | 264 | 68 |
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