{
  "id": "math-chi-square-table",
  "name": "Chi-Square Distribution Table for Statistical Analysis",
  "category": "math",
  "source": null,
  "updated": "2025-12-28",
  "columns": [
    {
      "key": "degrees_of_freedom",
      "label": "Degrees of Freedom (df)",
      "type": "number"
    },
    {
      "key": "chi2_p995",
      "label": "χ² (p=0.995)",
      "type": "number"
    },
    {
      "key": "chi2_p990",
      "label": "χ² (p=0.990)",
      "type": "number"
    },
    {
      "key": "chi2_p975",
      "label": "χ² (p=0.975)",
      "type": "number"
    },
    {
      "key": "chi2_p950",
      "label": "χ² (p=0.950)",
      "type": "number"
    },
    {
      "key": "chi2_p050",
      "label": "χ² (p=0.050)",
      "type": "number"
    },
    {
      "key": "chi2_p025",
      "label": "χ² (p=0.025)",
      "type": "number"
    },
    {
      "key": "chi2_p010",
      "label": "χ² (p=0.010)",
      "type": "number"
    },
    {
      "key": "chi2_p005",
      "label": "χ² (p=0.005)",
      "type": "number"
    }
  ],
  "rows": [
    {
      "degrees_of_freedom": 1,
      "chi2_p995": 0,
      "chi2_p990": 0,
      "chi2_p975": 0.001,
      "chi2_p950": 0.004,
      "chi2_p050": 3.841,
      "chi2_p025": 5.024,
      "chi2_p010": 6.635,
      "chi2_p005": 7.879
    },
    {
      "degrees_of_freedom": 2,
      "chi2_p995": 0.01,
      "chi2_p990": 0.02,
      "chi2_p975": 0.051,
      "chi2_p950": 0.103,
      "chi2_p050": 5.991,
      "chi2_p025": 7.378,
      "chi2_p010": 9.21,
      "chi2_p005": 10.597
    },
    {
      "degrees_of_freedom": 3,
      "chi2_p995": 0.072,
      "chi2_p990": 0.115,
      "chi2_p975": 0.216,
      "chi2_p950": 0.352,
      "chi2_p050": 7.815,
      "chi2_p025": 9.348,
      "chi2_p010": 11.345,
      "chi2_p005": 12.838
    },
    {
      "degrees_of_freedom": 4,
      "chi2_p995": 0.207,
      "chi2_p990": 0.297,
      "chi2_p975": 0.484,
      "chi2_p950": 0.711,
      "chi2_p050": 9.488,
      "chi2_p025": 11.143,
      "chi2_p010": 13.277,
      "chi2_p005": 14.86
    },
    {
      "degrees_of_freedom": 5,
      "chi2_p995": 0.412,
      "chi2_p990": 0.554,
      "chi2_p975": 0.831,
      "chi2_p950": 1.145,
      "chi2_p050": 11.07,
      "chi2_p025": 12.833,
      "chi2_p010": 15.086,
      "chi2_p005": 16.75
    },
    {
      "degrees_of_freedom": 6,
      "chi2_p995": 0.676,
      "chi2_p990": 0.872,
      "chi2_p975": 1.237,
      "chi2_p950": 1.635,
      "chi2_p050": 12.592,
      "chi2_p025": 14.449,
      "chi2_p010": 16.812,
      "chi2_p005": 18.548
    },
    {
      "degrees_of_freedom": 7,
      "chi2_p995": 0.989,
      "chi2_p990": 1.239,
      "chi2_p975": 1.69,
      "chi2_p950": 2.167,
      "chi2_p050": 14.067,
      "chi2_p025": 16.013,
      "chi2_p010": 18.475,
      "chi2_p005": 20.278
    },
    {
      "degrees_of_freedom": 8,
      "chi2_p995": 1.344,
      "chi2_p990": 1.646,
      "chi2_p975": 2.18,
      "chi2_p950": 2.733,
      "chi2_p050": 15.507,
      "chi2_p025": 17.535,
      "chi2_p010": 20.09,
      "chi2_p005": 21.955
    },
    {
      "degrees_of_freedom": 9,
      "chi2_p995": 1.735,
      "chi2_p990": 2.088,
      "chi2_p975": 2.7,
      "chi2_p950": 3.325,
      "chi2_p050": 16.919,
      "chi2_p025": 19.023,
      "chi2_p010": 21.666,
      "chi2_p005": 23.589
    },
    {
      "degrees_of_freedom": 10,
      "chi2_p995": 2.156,
      "chi2_p990": 2.558,
      "chi2_p975": 3.247,
      "chi2_p950": 3.94,
      "chi2_p050": 18.307,
      "chi2_p025": 20.483,
      "chi2_p010": 23.209,
      "chi2_p005": 25.188
    },
    {
      "degrees_of_freedom": 11,
      "chi2_p995": 2.603,
      "chi2_p990": 3.053,
      "chi2_p975": 3.816,
      "chi2_p950": 4.575,
      "chi2_p050": 19.675,
      "chi2_p025": 21.92,
      "chi2_p010": 24.725,
      "chi2_p005": 26.757
    },
    {
      "degrees_of_freedom": 12,
      "chi2_p995": 3.074,
      "chi2_p990": 3.571,
      "chi2_p975": 4.404,
      "chi2_p950": 5.226,
      "chi2_p050": 21.026,
      "chi2_p025": 23.337,
      "chi2_p010": 26.217,
      "chi2_p005": 28.3
    },
    {
      "degrees_of_freedom": 13,
      "chi2_p995": 3.565,
      "chi2_p990": 4.107,
      "chi2_p975": 5.009,
      "chi2_p950": 5.892,
      "chi2_p050": 22.362,
      "chi2_p025": 24.736,
      "chi2_p010": 27.688,
      "chi2_p005": 29.819
    },
    {
      "degrees_of_freedom": 14,
      "chi2_p995": 4.075,
      "chi2_p990": 4.66,
      "chi2_p975": 5.629,
      "chi2_p950": 6.571,
      "chi2_p050": 23.685,
      "chi2_p025": 26.119,
      "chi2_p010": 29.141,
      "chi2_p005": 31.319
    },
    {
      "degrees_of_freedom": 15,
      "chi2_p995": 4.601,
      "chi2_p990": 5.229,
      "chi2_p975": 6.262,
      "chi2_p950": 7.261,
      "chi2_p050": 24.996,
      "chi2_p025": 27.488,
      "chi2_p010": 30.578,
      "chi2_p005": 32.801
    },
    {
      "degrees_of_freedom": 16,
      "chi2_p995": 5.142,
      "chi2_p990": 5.812,
      "chi2_p975": 6.908,
      "chi2_p950": 7.962,
      "chi2_p050": 26.296,
      "chi2_p025": 28.845,
      "chi2_p010": 32,
      "chi2_p005": 34.267
    },
    {
      "degrees_of_freedom": 17,
      "chi2_p995": 5.697,
      "chi2_p990": 6.408,
      "chi2_p975": 7.564,
      "chi2_p950": 8.672,
      "chi2_p050": 27.587,
      "chi2_p025": 30.191,
      "chi2_p010": 33.409,
      "chi2_p005": 35.718
    },
    {
      "degrees_of_freedom": 18,
      "chi2_p995": 6.265,
      "chi2_p990": 7.015,
      "chi2_p975": 8.231,
      "chi2_p950": 9.39,
      "chi2_p050": 28.869,
      "chi2_p025": 31.526,
      "chi2_p010": 34.805,
      "chi2_p005": 37.156
    },
    {
      "degrees_of_freedom": 19,
      "chi2_p995": 6.844,
      "chi2_p990": 7.633,
      "chi2_p975": 8.907,
      "chi2_p950": 10.117,
      "chi2_p050": 30.144,
      "chi2_p025": 32.852,
      "chi2_p010": 36.191,
      "chi2_p005": 38.582
    },
    {
      "degrees_of_freedom": 20,
      "chi2_p995": 7.434,
      "chi2_p990": 8.26,
      "chi2_p975": 9.591,
      "chi2_p950": 10.851,
      "chi2_p050": 31.41,
      "chi2_p025": 34.17,
      "chi2_p010": 37.566,
      "chi2_p005": 39.997
    },
    {
      "degrees_of_freedom": 21,
      "chi2_p995": 8.034,
      "chi2_p990": 8.897,
      "chi2_p975": 10.283,
      "chi2_p950": 11.591,
      "chi2_p050": 32.671,
      "chi2_p025": 35.479,
      "chi2_p010": 38.932,
      "chi2_p005": 41.401
    },
    {
      "degrees_of_freedom": 22,
      "chi2_p995": 8.643,
      "chi2_p990": 9.542,
      "chi2_p975": 10.982,
      "chi2_p950": 12.338,
      "chi2_p050": 33.924,
      "chi2_p025": 36.781,
      "chi2_p010": 40.289,
      "chi2_p005": 42.796
    },
    {
      "degrees_of_freedom": 23,
      "chi2_p995": 9.26,
      "chi2_p990": 10.196,
      "chi2_p975": 11.689,
      "chi2_p950": 13.091,
      "chi2_p050": 35.172,
      "chi2_p025": 38.076,
      "chi2_p010": 41.638,
      "chi2_p005": 44.181
    },
    {
      "degrees_of_freedom": 24,
      "chi2_p995": 9.886,
      "chi2_p990": 10.856,
      "chi2_p975": 12.401,
      "chi2_p950": 13.848,
      "chi2_p050": 36.415,
      "chi2_p025": 39.364,
      "chi2_p010": 42.98,
      "chi2_p005": 45.559
    },
    {
      "degrees_of_freedom": 25,
      "chi2_p995": 10.52,
      "chi2_p990": 11.524,
      "chi2_p975": 13.12,
      "chi2_p950": 14.611,
      "chi2_p050": 37.652,
      "chi2_p025": 40.646,
      "chi2_p010": 44.314,
      "chi2_p005": 46.928
    },
    {
      "degrees_of_freedom": 26,
      "chi2_p995": 11.16,
      "chi2_p990": 12.198,
      "chi2_p975": 13.844,
      "chi2_p950": 15.379,
      "chi2_p050": 38.885,
      "chi2_p025": 41.923,
      "chi2_p010": 45.642,
      "chi2_p005": 48.29
    },
    {
      "degrees_of_freedom": 27,
      "chi2_p995": 11.808,
      "chi2_p990": 12.879,
      "chi2_p975": 14.573,
      "chi2_p950": 16.151,
      "chi2_p050": 40.113,
      "chi2_p025": 43.195,
      "chi2_p010": 46.963,
      "chi2_p005": 49.645
    },
    {
      "degrees_of_freedom": 28,
      "chi2_p995": 12.461,
      "chi2_p990": 13.565,
      "chi2_p975": 15.308,
      "chi2_p950": 16.928,
      "chi2_p050": 41.337,
      "chi2_p025": 44.461,
      "chi2_p010": 48.278,
      "chi2_p005": 50.993
    },
    {
      "degrees_of_freedom": 29,
      "chi2_p995": 13.121,
      "chi2_p990": 14.256,
      "chi2_p975": 16.047,
      "chi2_p950": 17.708,
      "chi2_p050": 42.557,
      "chi2_p025": 45.722,
      "chi2_p010": 49.588,
      "chi2_p005": 52.336
    },
    {
      "degrees_of_freedom": 30,
      "chi2_p995": 13.787,
      "chi2_p990": 14.953,
      "chi2_p975": 16.791,
      "chi2_p950": 18.493,
      "chi2_p050": 43.773,
      "chi2_p025": 46.979,
      "chi2_p010": 50.892,
      "chi2_p005": 53.672
    },
    {
      "degrees_of_freedom": 40,
      "chi2_p995": 20.707,
      "chi2_p990": 22.164,
      "chi2_p975": 24.433,
      "chi2_p950": 26.509,
      "chi2_p050": 55.758,
      "chi2_p025": 59.342,
      "chi2_p010": 63.691,
      "chi2_p005": 66.766
    },
    {
      "degrees_of_freedom": 50,
      "chi2_p995": 27.991,
      "chi2_p990": 29.707,
      "chi2_p975": 32.357,
      "chi2_p950": 34.764,
      "chi2_p050": 67.505,
      "chi2_p025": 71.42,
      "chi2_p010": 76.154,
      "chi2_p005": 79.49
    },
    {
      "degrees_of_freedom": 60,
      "chi2_p995": 35.534,
      "chi2_p990": 37.485,
      "chi2_p975": 40.482,
      "chi2_p950": 43.188,
      "chi2_p050": 79.082,
      "chi2_p025": 83.298,
      "chi2_p010": 88.379,
      "chi2_p005": 91.952
    },
    {
      "degrees_of_freedom": 70,
      "chi2_p995": 43.275,
      "chi2_p990": 45.442,
      "chi2_p975": 48.758,
      "chi2_p950": 51.739,
      "chi2_p050": 90.531,
      "chi2_p025": 95.023,
      "chi2_p010": 100.425,
      "chi2_p005": 104.215
    },
    {
      "degrees_of_freedom": 80,
      "chi2_p995": 51.172,
      "chi2_p990": 53.54,
      "chi2_p975": 57.153,
      "chi2_p950": 60.391,
      "chi2_p050": 101.879,
      "chi2_p025": 106.629,
      "chi2_p010": 112.329,
      "chi2_p005": 116.321
    },
    {
      "degrees_of_freedom": 90,
      "chi2_p995": 59.196,
      "chi2_p990": 61.754,
      "chi2_p975": 65.647,
      "chi2_p950": 69.126,
      "chi2_p050": 113.145,
      "chi2_p025": 118.136,
      "chi2_p010": 124.116,
      "chi2_p005": 128.299
    },
    {
      "degrees_of_freedom": 100,
      "chi2_p995": 67.328,
      "chi2_p990": 70.065,
      "chi2_p975": 74.222,
      "chi2_p950": 77.929,
      "chi2_p050": 124.342,
      "chi2_p025": 129.561,
      "chi2_p010": 135.807,
      "chi2_p005": 140.169
    }
  ],
  "meta": {
    "seo_title": "Chi-Square Distribution Table - Free Download (Excel/CSV/PDF)",
    "seo_description": "Free download of the Chi-Square Distribution Table for statistical analysis. Includes 37 records of degrees of freedom and p-values. Available in Excel, CSV, and PDF formats.",
    "title": "Chi-Square Distribution Table for Statistical Analysis",
    "description": "This dataset offers a comprehensive Chi-Square Distribution Table, detailing critical χ² values for 37 degrees of freedom and various p-levels. It's an indispensable resource for statistical hypothesis testing.",
    "key_takeaways": [
      "Access critical χ² values for 37 degrees of freedom.",
      "Explore Chi-Square values across a range of p-levels (0.005 to 0.995).",
      "Download a ready-to-use table for statistical hypothesis testing.",
      "Leverage accurate data for research, education, and data analysis."
    ],
    "keywords": [
      "chi-square distribution table",
      "chi-squared critical values",
      "degrees of freedom stats",
      "hypothesis testing data excel",
      "statistical tables download csv",
      "p-value chi-square"
    ],
    "use_cases": [
      "Import the **CSV** file into your Python scripts or R environment to perform automated chi-square tests and integrate results into larger statistical models.",
      "Use the **Excel** file to quickly look up critical χ² values, create custom tables, and support manual hypothesis testing for academic or professional reports.",
      "Print the **PDF** version for a handy reference during exams, classroom lectures, or offline statistical problem-solving without needing a computer.",
      "Leverage this dataset to validate statistical inferences, educate students on probability distributions, and support data-driven decision-making in various fields."
    ]
  },
  "record_count": 37,
  "title": "Chi-Square Distribution Table for Statistical Analysis"
}