# t distribution table

The t distribution table values are critical values of the t distribution. The column header are the t distribution probabilities (alpha). The row names are the degrees of freedom (df).

Student t table gives the probability that the absolute t value with a given degrees of freedom lies above the tabulated value.

Example : with df = 10, for t=2.228, the probability is alpha=0.05

 df/α 0.9 0.5 0.3 0.2 0.1 0.05 0.02 0.01 0.001 1 0.158 1 2 3.078 6.314 12.706 31.821 64 637 2 0.142 0.816 1.386 1.886 2.92 4.303 6.965 10 31.598 3 0.137 0.765 1.25 1.638 2.353 3.182 4.541 5.841 12.929 4 0.134 0.741 1.19 1.533 2.132 2.776 3.747 4.604 8.61 5 0.132 0.727 1.156 1.476 2.015 2.571 3.365 4.032 6.869 6 0.131 0.718 1.134 1.44 1.943 2.447 3.143 3.707 5.959 7 0.13 0.711 1.119 1.415 1.895 2.365 2.998 3.499 5.408 8 0.13 0.706 1.108 1.397 1.86 2.306 2.896 3.355 5.041 9 0.129 0.703 1.1 1.383 1.833 2.263 2.821 3.25 4.781 10 0.129 0.7 1.093 1.372 1.812 2.228 2.764 3.169 4.587 11 0.129 0.697 1.088 1.363 1.796 2.201 2.718 3.106 4.437 12 0.128 0.695 1.083 1.356 1.782 2.179 2.681 3.055 4.318 13 0.128 0.694 1.079 1.35 1.771 2.16 2.65 3.012 4.221 14 0.128 0.692 1.076 1.345 1.761 2.145 2.624 2.977 4.14 15 0.128 0.691 1.074 1.341 1.753 2.131 2.602 2.947 4.073 16 0.128 0.69 1.071 1.337 1.746 2.12 2.583 2.921 4.015 17 0.128 0.689 1.069 1.333 1.74 2.11 2.567 2.898 3.965 18 0.127 0.688 1.067 1.33 1.734 2.101 2.552 2.878 3.922 19 0.127 688 1.066 1.328 1.729 2.093 2.539 2.861 3.883 20 0.127 0.687 1.064 1.325 1.725 2.086 2.528 2.845 3.85 21 0.127 0.686 1.063 1.323 1.721 2.08 2.518 2.831 3.819 22 0.127 0.686 1.061 1.321 1.717 2.074 2.508 2.819 3.792 23 0.127 0.685 1.06 1.319 1.714 2.069 2.5 2.807 3.767 24 0.127 0.685 1.059 1.318 1.711 2.064 2.492 2.797 3.745 25 0.127 0.684 1.058 1.316 1.708 2.06 2.485 2.787 3.725 26 0.127 0.684 1.058 1.315 1.706 2.056 2.479 2.779 3.707 27 0.137 0.684 1.057 1.314 1.703 2.052 2.473 2.771 3.69 28 0.127 0.683 1.056 1.313 1.701 2.048 2.467 2.763 3.674 29 0.127 0.683 1.055 1.311 1.699 2.045 2.462 2.756 3.649 30 0.127 0.683 1.055 1.31 1.697 2.042 2.457 2.75 3.656 40 0.126 0.681 1.05 1.303 1.684 2.021 2.423 2.704 3.551 80 0.126 0.679 1.046 1.296 1.671 2 2.39 2.66 3.46 120 0.126 0.677 1.041 1.289 1.658 1.98 2.358 2.617 3.373 Infini 0.126 0.674 1.036 1.282 1.645 1.96 2.326 2.576 3.291