Central Limit Theorem Calculator
Standard error and probability that a sample mean exceeds a value, using the central limit theorem.
Compare Your Options And Get Clear Answers
Standard error and probability that a sample mean exceeds a value, using the central limit theorem.
Central Limit Theorem Estimator
Enter your numbers below for an instant estimate.
How It Works
Key concepts behind this calculator
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Central Quick Guide
Typical values for reference.
| Mean | SD | n | SE |
|---|---|---|---|
| 100 | 15 | 9 | 5.0000 |
| 100 | 15 | 36 | 2.5000 |
| 100 | 15 | 100 | 1.5000 |
| 100 | 15 | 400 | 0.7500 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Central Limit Theorem Calculator FAQ
Answers to common questions about this calculator.
Sample means become approximately normal as n grows.
About 30 is a common rule of thumb.
SE = sigma / sqrt(n); z = (x – mu) / SE.
It is an estimate based on the inputs you enter. Check real quotes, labels or official guidance for important decisions.