Sample Size Calculator
Calculate required sample size for surveys and studies with confidence levels and margin of error.
Calculator
Enter the confidence level, margin of error, and other parameters to calculate the required sample size.
Required Sample Size
0
Confidence Level
-
Margin of Error
-
Z-Score
-
Detailed Results
Step-by-Step Solution
Complete User Guide
Calculation Types
- Proportion: For surveys estimating proportions or percentages (e.g., approval rating, preference)
- Mean: For studies estimating means or averages (e.g., average income, test scores)
Key Parameters
- Confidence Level: Probability that the true value lies within the margin of error (typically 95%)
- Margin of Error: Maximum expected difference between sample and population (e.g., ±5%)
- Population Proportion: Expected proportion (if known, otherwise uses 50% for conservative estimate)
- Standard Deviation: Required for mean calculations
- Population Size: If provided, applies finite population correction
Examples
Example 1: Survey Proportion
Input: 95% confidence, 5% margin of error
Result: Sample size ≈ 385
Example 2: Mean Calculation
Input: 95% confidence, margin of error = 2, standard deviation = 10
Result: Sample size ≈ 97