T-Distribution Tables: One-Tailed, Two-Tailed & Combined

The t-distribution table is a chart that shows critical values for the t-distribution. These values help you decide if your test results are statistically significant. This page includes the main t tables, including a one-sided t-distribution table, a two-sided t-distribution table, and a combined t-distribution table, so you can quickly find the values you need for hypothesis testing.

For an even faster solution, try our T Critical Value Calculator to get exact values instantly.

One-Sided (One-Tailed) T-Distribution Table

This table shows critical t-values for one-tailed tests. Use it to quickly find the value for your hypothesis testing.

df	0.10	0.05	0.025	0.01	0.005	0.001	0.0005
1	3.078	6.314	12.706	31.821	63.656	318.289	636.578
2	1.886	2.920	4.303	6.965	9.925	22.328	31.600
3	1.638	2.353	3.182	4.541	5.841	10.214	12.924
4	1.533	2.132	2.776	3.747	4.604	7.173	8.610
5	1.476	2.015	2.571	3.365	4.032	5.894	6.869
6	1.440	1.943	2.447	3.143	3.707	5.208	5.959
7	1.415	1.895	2.365	2.998	3.499	4.785	5.408
8	1.397	1.860	2.306	2.896	3.355	4.501	5.041
9	1.383	1.833	2.262	2.821	3.250	4.297	4.781
10	1.372	1.812	2.228	2.764	3.169	4.144	4.587
11	1.363	1.796	2.201	2.718	3.106	4.025	4.437
12	1.356	1.782	2.179	2.681	3.055	3.930	4.318
13	1.350	1.771	2.160	2.650	3.012	3.852	4.221
14	1.345	1.761	2.145	2.624	2.977	3.787	4.140
15	1.341	1.753	2.131	2.602	2.947	3.733	4.073
16	1.337	1.746	2.120	2.583	2.921	3.686	4.015
17	1.333	1.740	2.110	2.567	2.898	3.646	3.965
18	1.330	1.734	2.101	2.552	2.878	3.610	3.922
19	1.328	1.729	2.093	2.539	2.861	3.579	3.883
20	1.325	1.725	2.086	2.528	2.845	3.552	3.850
21	1.323	1.721	2.080	2.518	2.831	3.527	3.819
22	1.321	1.717	2.074	2.508	2.819	3.505	3.792
23	1.319	1.714	2.069	2.500	2.807	3.485	3.768
24	1.318	1.711	2.064	2.492	2.797	3.467	3.745
25	1.316	1.708	2.060	2.485	2.787	3.450	3.725
26	1.315	1.706	2.056	2.479	2.779	3.435	3.707
27	1.314	1.703	2.052	2.473	2.771	3.421	3.689
28	1.313	1.701	2.048	2.467	2.763	3.408	3.674
29	1.311	1.699	2.045	2.462	2.756	3.396	3.660
30	1.310	1.697	2.042	2.457	2.750	3.385	3.646
60	1.296	1.671	2.000	2.390	2.660	3.232	3.460
120	1.289	1.658	1.980	2.358	2.617	3.160	3.373
1000	1.282	1.646	1.962	2.330	2.581	3.098	3.300
∞	1.282	1.645	1.960	2.326	2.576	3.091	3.291

Two-Sided (Two-Tailed) T-Distribution Table

The Two-Sided (Two-Tailed) T-Distribution Table lists critical t-values for two-tailed hypothesis tests. Use this table when the significance level (α) is split between both tails (dividing α by 2).

df	0.10	0.05	0.025	0.01	0.005	0.001	0.0005
1	6.314	12.706	31.821	63.656	318.289	636.578	1273.156
2	2.920	4.303	6.965	9.925	22.328	31.600	63.200
3	2.353	3.182	4.541	5.841	10.214	12.924	25.848
4	2.132	2.776	3.747	4.604	7.173	8.610	17.220
5	2.015	2.571	3.365	4.032	5.894	6.869	13.738
6	1.943	2.447	3.143	3.707	5.208	5.959	11.918
7	1.895	2.365	2.998	3.499	4.785	5.408	10.816
8	1.860	2.306	2.896	3.355	4.501	5.041	10.082
9	1.833	2.262	2.821	3.250	4.297	4.781	9.562
10	1.812	2.228	2.764	3.169	4.144	4.587	9.174
11	1.796	2.201	2.718	3.106	4.025	4.437	8.874
12	1.782	2.179	2.681	3.055	3.930	4.318	8.636
13	1.771	2.160	2.650	3.012	3.852	4.221	8.442
14	1.761	2.145	2.624	2.977	3.787	4.140	8.280
15	1.753	2.131	2.602	2.947	3.733	4.073	8.146
16	1.746	2.120	2.583	2.921	3.686	4.015	8.032
17	1.740	2.110	2.567	2.898	3.646	3.965	7.936
18	1.734	2.101	2.552	2.878	3.610	3.922	7.852
19	1.729	2.093	2.539	2.861	3.579	3.883	7.778
20	1.725	2.086	2.528	2.845	3.552	3.850	7.716
21	1.721	2.080	2.518	2.831	3.527	3.819	7.660
22	1.717	2.074	2.508	2.819	3.505	3.792	7.612
23	1.714	2.069	2.500	2.807	3.485	3.768	7.568
24	1.711	2.064	2.492	2.797	3.467	3.745	7.528
25	1.708	2.060	2.485	2.787	3.450	3.725	7.492
26	1.706	2.056	2.479	2.779	3.435	3.707	7.458
27	1.703	2.052	2.473	2.771	3.421	3.689	7.426
28	1.701	2.048	2.467	2.763	3.408	3.674	7.396
29	1.699	2.045	2.462	2.756	3.396	3.660	7.368
30	1.697	2.042	2.457	2.750	3.385	3.646	7.342
60	1.671	2.000	2.390	2.660	3.232	3.460	6.920
120	1.658	1.980	2.358	2.617	3.160	3.373	6.746
1000	1.646	1.962	2.330	2.581	3.098	3.300	6.600
∞	1.645	1.960	2.326	2.576	3.091	3.291	6.582

Combined One-Tailed & Two-Tailed t Table

The Combined One-Tailed & Two-Tailed t Table provides critical t-values for both one-tailed and two-tailed hypothesis tests. This allows you to quickly find the appropriate t-critical values for a variety of testing scenarios without consulting separate tables.

	0.1	0.05	0.025	0.01	0.005	0.001	0.0005
one-tail	0.1	0.05	0.025	0.01	0.005	0.001	0.0005
two-tails	0.2	0.1	0.05	0.02	0.01	0.002	0.001
DF
1	3.078	6.314	12.706	31.821	63.656	318.289	636.578
2	1.886	2.920	4.303	6.965	9.925	22.328	31.600
3	1.638	2.353	3.182	4.541	5.841	10.214	12.924
4	1.533	2.132	2.776	3.747	4.604	7.173	8.610
5	1.476	2.015	2.571	3.365	4.032	5.894	6.869
6	1.440	1.943	2.447	3.143	3.707	5.208	5.959
7	1.415	1.895	2.365	2.998	3.499	4.785	5.408
8	1.397	1.860	2.306	2.896	3.355	4.501	5.041
9	1.383	1.833	2.262	2.821	3.250	4.297	4.781
10	1.372	1.812	2.228	2.764	3.169	4.144	4.587
11	1.363	1.796	2.201	2.718	3.106	4.025	4.437
12	1.356	1.782	2.179	2.681	3.055	3.930	4.318
13	1.350	1.771	2.160	2.650	3.012	3.852	4.221
14	1.345	1.761	2.145	2.624	2.977	3.787	4.140
15	1.341	1.753	2.131	2.602	2.947	3.733	4.073
16	1.337	1.746	2.120	2.583	2.921	3.686	4.015
17	1.333	1.740	2.110	2.567	2.898	3.646	3.965
18	1.330	1.734	2.101	2.552	2.878	3.610	3.922
19	1.328	1.729	2.093	2.539	2.861	3.579	3.883
20	1.325	1.725	2.086	2.528	2.845	3.552	3.850
21	1.323	1.721	2.080	2.518	2.831	3.527	3.819
22	1.321	1.717	2.074	2.508	2.819	3.505	3.792
23	1.319	1.714	2.069	2.500	2.807	3.485	3.768
24	1.318	1.711	2.064	2.492	2.797	3.467	3.745
25	1.316	1.708	2.060	2.485	2.787	3.450	3.725
26	1.315	1.706	2.056	2.479	2.779	3.435	3.707
27	1.314	1.703	2.052	2.473	2.771	3.421	3.689
28	1.313	1.701	2.048	2.467	2.763	3.408	3.674
29	1.311	1.699	2.045	2.462	2.756	3.396	3.660
30	1.310	1.697	2.042	2.457	2.750	3.385	3.646
60	1.296	1.671	2.000	2.390	2.660	3.232	3.460
120	1.289	1.658	1.980	2.358	2.617	3.160	3.373
1000	1.282	1.646	1.962	2.330	2.581	3.098	3.300
∞	1.282	1.645	1.960	2.326	2.576	3.091	3.291

Reference

T Table. (2021, April 23). T Distribution Table. https://www.tdistributiontable.com/