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Continuity Correction Calculator
Use the continuity correction to approximate a binomial probability with the normal curve.
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P(X <= k)
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Use the continuity correction to approximate a binomial probability with the normal curve.
Continuity Correction Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: z = (k + 0.5 – np) / sqrt(np(1-p)).
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Continuity Quick Guide
Typical values for reference.
| n | p | k | P(X <= k) |
|---|---|---|---|
| 50 | 0.4 | 24 | 90.30% |
| 20 | 0.5 | 8 | 25.12% |
| 100 | 0.3 | 25 | 16.31% |
| 30 | 0.2 | 4 | 24.68% |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Continuity Correction Calculator FAQ
Answers to common questions about this calculator.
An adjustment of 0.5 when a discrete variable is approximated by a continuous one.
When np and n(1-p) are both at least 5 to 10.
Add for at most k, subtract for at least k.
No, it is an approximation.