Chi-Square (χ2) Distribution Percentage Points Table

The percentage points table of the Chi-Square distribution lists numbers called critical values ranging from 0.1 % to 99.9 %. The value v represents degree of freedom, i.e., the total number of free parameters being tested in a statistical comparison. This table depicts the chi square percentage points from 0.1 to 50 %.

Chi Square Percentage Values from 0.1 to 50.0 %

v0.1%0.5%1.0%2.5%5.0%10.0%12.5%20.0%25.0%33.3%50.0%
10.0000.0000.0000.0010.0040.0160.0250.0640.1020.1860.455
20.0020.0100.0200.0510.1030.2110.2670.4460.5750.8111.386
30.0240.0720.1150.2160.3520.5840.6921.0051.2131.5682.366
40.0910.2070.2970.4840.7111.0641.2191.6491.9232.3783.357
50.2100.4120.5540.8311.1451.6101.8082.3432.6753.2164.351
60.3810.6760.8721.2371.6352.2042.4413.0703.4554.0745.348
70.5980.9891.2391.6902.1672.8333.1063.8224.2554.9456.346
80.8571.3441.6462.1802.7333.4903.7974.5945.0715.8267.344
91.1521.7352.0882.7003.3254.1684.5075.3805.8996.7168.343
101.4792.1562.5583.2473.9404.8655.2346.1796.7377.6129.342
111.8342.6033.0533.8164.5755.5785.9756.9897.5848.51410.341
122.2143.0743.5714.4045.2266.3046.7297.8078.4389.42011.340
132.6173.5654.1075.0095.8927.0427.4938.6349.29910.33112.340
143.0414.0754.6605.6296.5717.7908.2669.46710.16511.24513.339
153.4834.6015.2296.2627.2618.5479.04810.30711.03712.16314.339
163.9425.1425.8126.9087.9629.3129.83711.15211.91213.08315.338
174.4165.6976.4087.5648.67210.08510.63312.00212.79214.00616.338
184.9056.2657.0158.2319.39010.86511.43512.85713.67514.93117.338
195.4076.8447.6338.90710.11711.65112.24213.71614.56215.85918.338
205.9217.4348.2609.59110.85112.44313.05514.57815.45216.78819.337
216.4478.0348.89710.28311.59113.24013.87315.44516.34417.72020.337
226.9838.6439.54210.98212.33814.04114.69516.31417.24018.65321.337
237.5299.26010.19611.68913.09114.84815.52117.18718.13719.58722.337
248.0859.88610.85612.40113.84815.65916.35118.06219.03720.52323.337
258.64910.52011.52413.12014.61116.47317.18418.94019.93921.46124.337
269.22211.16012.19813.84415.37917.29218.02119.82020.84322.39925.336
279.80311.80812.87914.57316.15118.11418.86120.70321.74923.33926.336
2810.39112.46113.56515.30816.92818.93919.70421.58822.65724.28027.336
2910.98613.12114.25616.04717.70819.76820.55022.47523.56725.22228.336
3011.58813.78714.95316.79118.49320.59921.39923.36424.47826.16529.336
3514.68817.19218.50920.56922.46524.79725.67827.83629.05430.89434.336
4017.91620.70722.16424.43326.50929.05130.00832.34533.66035.64339.335
4521.25124.31125.90128.36630.61233.35034.37936.88438.29140.40744.335
5024.67427.99129.70732.35734.76437.68938.78541.44942.94245.18449.335
5528.17331.73533.57036.39838.95842.06043.22046.03647.61049.97254.335
6031.73835.53437.48540.48243.18846.45947.68050.64152.29454.77059.3351

Chi Square Percentage Values from 60.0 % to 99.9 %

v60.0%66.7%75.0%80.0%87.5%90.0%95.0%97.5%99.0%99.5%99.9%
10.7080.9361.3231.6422.3542.7063.8415.0246.6357.87910.828
21.8332.1972.7733.2194.1594.6055.9917.3789.21010.59713.816
32.9463.4054.1084.6425.7396.2517.8159.34811.34512.83816.266
44.0454.5795.3855.9897.2147.7799.48811.14313.27714.86018.467
55.1325.7306.6267.2898.6259.23611.07012.83315.08616.75020.515
66.2116.8677.8418.5589.99210.64512.59214.44916.81218.54822.458
77.2837.9929.0379.80311.32612.01714.06716.01318.47520.27824.322
88.3519.10710.21911.03012.63613.36215.50717.53520.09021.95526.125
99.41410.21511.38912.24213.92614.68416.91919.02321.66623.58927.877
1010.47311.31712.54913.44215.19815.98718.30720.48323.20925.18829.588
1111.53012.41413.70114.63116.45717.27519.67521.92024.72526.75731.264
1212.58413.50614.84515.81217.70318.54921.02623.33726.21728.30032.910
1313.63614.59515.98416.98518.93919.81222.36224.73627.68829.81934.528
1414.68515.68017.11718.15120.16621.06423.68526.11929.14131.31936.123
1515.73316.76118.24519.31121.38422.30724.99627.48830.57832.80137.697
1616.78017.84019.36920.46522.59523.54226.29628.84532.00034.26739.252
1717.82418.91720.48921.61523.79924.76927.58730.19133.40935.71840.790
1818.86819.99121.60522.76024.99725.98928.86931.52634.80537.15642.312
1919.91021.06322.71823.90026.18927.20430.14432.85236.19138.58243.820
2020.95122.13323.82825.03827.37628.41231.41034.17037.56639.99745.315
2121.99123.20124.93526.17128.55929.61532.67135.47938.93241.40146.797
2223.03124.26826.03927.30129.73730.81333.92436.78140.28942.79648.268
2324.06925.33327.14128.42930.91132.00735.17238.07641.63844.18149.728
2425.10626.39728.24129.55332.08133.19636.41539.36442.98045.55951.179
2526.14327.45929.33930.67533.24734.38237.65240.64644.31446.92852.620
2627.17928.52030.43531.79534.41035.56338.88541.92345.64248.29054.052
2728.21429.58031.52832.91235.57036.74140.11343.19546.96349.64555.476
2829.24930.63932.62034.02736.72737.91641.33744.46148.27850.99356.892
2930.28331.69733.71135.13937.88139.08742.55745.72249.58852.33658.301
3031.31632.75434.80036.25039.03340.25643.77346.97950.89253.67259.703
3536.47538.02440.22341.77844.75346.05949.80253.20357.34260.27566.619
4041.62243.27545.61647.26950.42451.80555.75859.34263.69166.76673.402
4546.76148.51050.98552.72956.05257.50561.65665.41069.95773.16680.077
5051.89253.73356.33458.16461.64763.16767.50571.42076.15479.49086.661
5557.01658.94561.66563.57767.21168.79673.31177.38082.29285.74993.168
6062.13564.14766.98168.97272.75174.39779.08283.29888.37991.95299.6072

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