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# Student t Distribution Table

This table is a compilation of data from the Student t distribution. Anytime that a t-distribution is being used, a table such as this one can be consulted to perform calculations. This distribution is similar to the standard normal distribution, or bell curve, however the table is arranged differently than the table for the bell curve. The table below provides critical t-values for a particular area of one tail (listed along the top of the table) and degrees of freedom (listed along the side of the table). Degrees of freedom range from 1 to 30, with the bottom row of "Large" referring to several thousand degrees of freedom.

## Critical Values of t Distribution

 t 0.4 0.25 0.1 0.05 0.025 0.01 0.005 0.0005 1 0.32492 1 3.07768 6.31375 12.7062 31.8205 63.6567 636.619 2 0.288675 0.816497 1.88562 2.91999 4.30265 6.96456 9.92484 31.5991 3 0.276671 0.764892 1.63774 2.35336 3.18245 4.5407 5.84091 12.924 4 0.270722 0.740697 1.53321 2.13185 2.77645 3.74695 4.60409 8.6103 5 0.267181 0.726687 1.47588 2.01505 2.57058 3.36493 4.03214 6.8688 6 0.264835 0.717558 1.43976 1.94318 2.44691 3.14267 3.70743 5.9588 7 0.263167 0.711142 1.41492 1.89458 2.36462 2.99795 3.49948 5.4079 8 0.261921 0.706387 1.39681 1.85955 2.306 2.89646 3.35539 5.0413 9 0.260955 0.702722 1.38303 1.83311 2.26216 2.82144 3.24984 4.7809 10 0.260185 0.699812 1.37218 1.81246 2.22814 2.76377 3.16927 4.5869 11 0.259556 0.697445 1.36343 1.79588 2.20099 2.71808 3.10581 4.437 12 0.259033 0.695483 1.35622 1.78229 2.17881 2.681 3.05454 4.3178 13 0.258591 0.693829 1.35017 1.77093 2.16037 2.65031 3.01228 4.2208 14 0.258213 0.692417 1.34503 1.76131 2.14479 2.62449 2.97684 4.1405 15 0.257885 0.691197 1.34061 1.75305 2.13145 2.60248 2.94671 4.0728 16 0.257599 0.690132 1.33676 1.74588 2.11991 2.58349 2.92078 4.015 17 0.257347 0.689195 1.33338 1.73961 2.10982 2.56693 2.89823 3.9651 18 0.257123 0.688364 1.33039 1.73406 2.10092 2.55238 2.87844 3.9216 19 0.256923 0.687621 1.32773 1.72913 2.09302 2.53948 2.86093 3.8834 20 0.256743 0.686954 1.32534 1.72472 2.08596 2.52798 2.84534 3.8495 21 0.25658 0.686352 1.32319 1.72074 2.07961 2.51765 2.83136 3.8193 22 0.256432 0.685805 1.32124 1.71714 2.07387 2.50832 2.81876 3.7921 23 0.256297 0.685306 1.31946 1.71387 2.06866 2.49987 2.80734 3.7676 24 0.256173 0.68485 1.31784 1.71088 2.0639 2.49216 2.79694 3.7454 25 0.25606 0.68443 1.31635 1.70814 2.05954 2.48511 2.78744 3.7251 26 0.255955 0.684043 1.31497 1.70562 2.05553 2.47863 2.77871 3.7066 27 0.255858 0.683685 1.3137 1.70329 2.05183 2.47266 2.77068 3.6896 28 0.255768 0.683353 1.31253 1.70113 2.04841 2.46714 2.76326 3.6739 29 0.255684 0.683044 1.31143 1.69913 2.04523 2.46202 2.75639 3.6594 30 0.255605 0.682756 1.31042 1.69726 2.04227 2.45726 2.75 3.646 Large 0.253347 0.67449 1.28155 1.64485 1.95996 2.32635 2.57583 3.2905

Courtney Taylor