Critical Values of Chi-square


Upper critical values of chi-square distribution with x degrees of freedom

Probability of exceeding the critical value:

df

90%

95%

97.5%

99%

99.9%

⇐ Confidence Level

0.10

0.05

0.025

0.01

0.001

⇐ Significance Level

1

2.706

3.841

5.024

6.635

10.828

2

4.605

5.991

7.378

9.210

13.816

3

6.251

7.815

9.348

11.345

16.266

4

7.779

9.488

11.143

13.277

18.467

5

9.236

11.070

12.833

15.086

20.515

6

10.645

12.592

14.449

16.812

22.458

7

12.017

14.067

16.013

18.475

24.322

8

13.362

15.507

17.535

20.090

26.125

9

14.684

16.919

19.023

21.666

27.877

10

15.987

18.307

20.483

23.209

29.588