Chi-Square Table (χ² Distribution) Calculator and Critical Values Guide
Use the Chi-Square (χ²) Calculator below to quickly find critical values based on your selected degrees of freedom, significance level (α), and test type. Enter the required inputs, generate the critical value, and use the visual distribution curve to understand the rejection region for your hypothesis test.
The calculator also serves as a practical Chi-Square reference table, helping students, researchers, quality engineers, Six Sigma practitioners, and data analysts determine the correct χ² critical value without manually searching statistical tables.
Chi-Square Table Calculator with Chi-Square Distribution Curve
Chi-Square Distribution
Find Critical Chi-Square Values
Results
What this result means
View Step-by-Step Solution
What Is a Chi-Square Statistic?
The statistic compares observed counts with expected counts.
- O = observed frequency
- E = expected frequency
- df controls distribution shape
Common Critical Chi-Square Values
Upper-tail critical values.
| df | .10 | .05 | .01 |
|---|
Critical Values of the Chi-Square Distribution
Values are rounded to three decimals.
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Published: August 27, 2026
Last Updated: September 16, 2026
