Chi-Square Table (χ² Distribution) Table

Calculate Chi-Square critical values, visualize rejection regions, and explore comprehensive χ² reference tables for statistical testing and data analysis.

Chi-Square Table Calculator with Chi-Square Distribution Curve

Chi-Square Distribution

df = 5
Chi-Square distribution curveChi-Square distribution with the selected critical region highlighted.
Selected regionP(chi-square >= 11.0705)
Probability0.0500
χ²

Find Critical Chi-Square Values

Enter a positive whole number.
Test type

Results

Critical Chi-Square value11.0705
Confidence level95.00%Equal to 1 - alpha
Significance level0.0500
Degrees of freedom5Distribution shape parameter
i

What this result means

View Step-by-Step Solution

What Is a Chi-Square Statistic?

The statistic compares observed counts with expected counts.

χ² = Σ (O - E)² / E
  • 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.

Calculation Method

Probabilities use the regularized incomplete gamma function. Critical values are found by numerical inversion.

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Published: August 27, 2026
Last Updated: September 6, 2026

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