T Table: Student's t Distribution Critical Values

The full Student's t table, degrees of freedom 1 to 1000 plus the normal limit, with one-tailed alpha, two-tailed alpha and confidence on every column header.

At a glance

Computes: Student's t critical values for any degrees of freedom and any probability level
You supply: Degrees of freedom, and either a cumulative probability or a significance level
Use when: You want the printable grid, or a value at a df it skips
Not for: One critical value for one alpha and one df Critical Value Calculator

This page is the grid. It lists Student's t critical values for every degrees of freedom from 1 to 100 one at a time, then out to 1000 and the normal limit, across eleven probability columns. For one alpha and one df, use the critical value calculator. Both pages use the same quantile function, so their answers cannot disagree.

Type degrees of freedom and a probability to highlight a cell.

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Probability density; Student t, df 10

Most-used t values

Positive t critical values for common two-sided confidence levels.
Confidence	df 10	df 20	df 30	df 60	df 120	Normal
90%	1.8125	1.7247	1.6973	1.6706	1.6577	1.6449
95%	2.2281	2.0860	2.0423	2.0003	1.9799	1.9600
99%	3.1693	2.8453	2.7500	2.6603	2.6174	2.5758

Student's t critical values

Body values are t such that P(T <= t) equals the column's cumulative probability. Degrees of freedom run down the left.
df	0.75one-tailed 0.25two-tailed 0.550% confidence	0.8one-tailed 0.2two-tailed 0.460% confidence	0.85one-tailed 0.15two-tailed 0.370% confidence	0.9one-tailed 0.1two-tailed 0.280% confidence	0.95one-tailed 0.05two-tailed 0.190% confidence	0.975one-tailed 0.025two-tailed 0.0595% confidence	0.99one-tailed 0.01two-tailed 0.0298% confidence	0.995one-tailed 0.005two-tailed 0.0199% confidence	0.9975one-tailed 0.0025two-tailed 0.00599.5% confidence	0.999one-tailed 0.001two-tailed 0.00299.8% confidence	0.9995one-tailed 0.0005two-tailed 0.00199.9% confidence
1	1.0000	1.3764	1.9626	3.0777	6.3138	12.7062	31.8205	63.6567	127.321	318.309	636.619
2	0.8165	1.0607	1.3862	1.8856	2.9200	4.3027	6.9646	9.9248	14.0890	22.3271	31.5991
3	0.7649	0.9785	1.2498	1.6377	2.3534	3.1824	4.5407	5.8409	7.4533	10.2145	12.9240
4	0.7407	0.9410	1.1896	1.5332	2.1318	2.7764	3.7469	4.6041	5.5976	7.1732	8.6103
5	0.7267	0.9195	1.1558	1.4759	2.0150	2.5706	3.3649	4.0321	4.7733	5.8934	6.8688
6	0.7176	0.9057	1.1342	1.4398	1.9432	2.4469	3.1427	3.7074	4.3168	5.2076	5.9588
7	0.7111	0.8960	1.1192	1.4149	1.8946	2.3646	2.9980	3.4995	4.0293	4.7853	5.4079
8	0.7064	0.8889	1.1081	1.3968	1.8595	2.3060	2.8965	3.3554	3.8325	4.5008	5.0413
9	0.7027	0.8834	1.0997	1.3830	1.8331	2.2622	2.8214	3.2498	3.6897	4.2968	4.7809
10	0.6998	0.8791	1.0931	1.3722	1.8125	2.2281	2.7638	3.1693	3.5814	4.1437	4.5869
11	0.6974	0.8755	1.0877	1.3634	1.7959	2.2010	2.7181	3.1058	3.4966	4.0247	4.4370
12	0.6955	0.8726	1.0832	1.3562	1.7823	2.1788	2.6810	3.0545	3.4284	3.9296	4.3178
13	0.6938	0.8702	1.0795	1.3502	1.7709	2.1604	2.6503	3.0123	3.3725	3.8520	4.2208
14	0.6924	0.8681	1.0763	1.3450	1.7613	2.1448	2.6245	2.9768	3.3257	3.7874	4.1405
15	0.6912	0.8662	1.0735	1.3406	1.7531	2.1314	2.6025	2.9467	3.2860	3.7328	4.0728
16	0.6901	0.8647	1.0711	1.3368	1.7459	2.1199	2.5835	2.9208	3.2520	3.6862	4.0150
17	0.6892	0.8633	1.0690	1.3334	1.7396	2.1098	2.5669	2.8982	3.2224	3.6458	3.9651
18	0.6884	0.8620	1.0672	1.3304	1.7341	2.1009	2.5524	2.8784	3.1966	3.6105	3.9216
19	0.6876	0.8610	1.0655	1.3277	1.7291	2.0930	2.5395	2.8609	3.1737	3.5794	3.8834
20	0.6870	0.8600	1.0640	1.3253	1.7247	2.0860	2.5280	2.8453	3.1534	3.5518	3.8495
21	0.6864	0.8591	1.0627	1.3232	1.7207	2.0796	2.5176	2.8314	3.1352	3.5272	3.8193
22	0.6858	0.8583	1.0614	1.3212	1.7171	2.0739	2.5083	2.8188	3.1188	3.5050	3.7921
23	0.6853	0.8575	1.0603	1.3195	1.7139	2.0687	2.4999	2.8073	3.1040	3.4850	3.7676
24	0.6848	0.8569	1.0593	1.3178	1.7109	2.0639	2.4922	2.7969	3.0905	3.4668	3.7454
25	0.6844	0.8562	1.0584	1.3163	1.7081	2.0595	2.4851	2.7874	3.0782	3.4502	3.7251
26	0.6840	0.8557	1.0575	1.3150	1.7056	2.0555	2.4786	2.7787	3.0669	3.4350	3.7066
27	0.6837	0.8551	1.0567	1.3137	1.7033	2.0518	2.4727	2.7707	3.0565	3.4210	3.6896
28	0.6834	0.8546	1.0560	1.3125	1.7011	2.0484	2.4671	2.7633	3.0469	3.4082	3.6739
29	0.6830	0.8542	1.0553	1.3114	1.6991	2.0452	2.4620	2.7564	3.0380	3.3962	3.6594
30	0.6828	0.8538	1.0547	1.3104	1.6973	2.0423	2.4573	2.7500	3.0298	3.3852	3.6460
31	0.6825	0.8534	1.0541	1.3095	1.6955	2.0395	2.4528	2.7440	3.0221	3.3749	3.6335
32	0.6822	0.8530	1.0535	1.3086	1.6939	2.0369	2.4487	2.7385	3.0149	3.3653	3.6218
33	0.6820	0.8526	1.0530	1.3077	1.6924	2.0345	2.4448	2.7333	3.0082	3.3563	3.6109
34	0.6818	0.8523	1.0525	1.3070	1.6909	2.0322	2.4411	2.7284	3.0020	3.3479	3.6007
35	0.6816	0.8520	1.0520	1.3062	1.6896	2.0301	2.4377	2.7238	2.9960	3.3400	3.5911
36	0.6814	0.8517	1.0516	1.3055	1.6883	2.0281	2.4345	2.7195	2.9905	3.3326	3.5821
37	0.6812	0.8514	1.0512	1.3049	1.6871	2.0262	2.4314	2.7154	2.9852	3.3256	3.5737
38	0.6810	0.8512	1.0508	1.3042	1.6860	2.0244	2.4286	2.7116	2.9803	3.3190	3.5657
39	0.6808	0.8509	1.0504	1.3036	1.6849	2.0227	2.4258	2.7079	2.9756	3.3128	3.5581
40	0.6807	0.8507	1.0500	1.3031	1.6839	2.0211	2.4233	2.7045	2.9712	3.3069	3.5510
41	0.6805	0.8505	1.0497	1.3025	1.6829	2.0195	2.4208	2.7012	2.9670	3.3013	3.5442
42	0.6804	0.8503	1.0494	1.3020	1.6820	2.0181	2.4185	2.6981	2.9630	3.2960	3.5377
43	0.6802	0.8501	1.0491	1.3016	1.6811	2.0167	2.4163	2.6951	2.9592	3.2909	3.5316
44	0.6801	0.8499	1.0488	1.3011	1.6802	2.0154	2.4141	2.6923	2.9555	3.2861	3.5258
45	0.6800	0.8497	1.0485	1.3006	1.6794	2.0141	2.4121	2.6896	2.9521	3.2815	3.5203
46	0.6799	0.8495	1.0483	1.3002	1.6787	2.0129	2.4102	2.6870	2.9488	3.2771	3.5150
47	0.6797	0.8493	1.0480	1.2998	1.6779	2.0117	2.4083	2.6846	2.9456	3.2729	3.5099
48	0.6796	0.8492	1.0478	1.2994	1.6772	2.0106	2.4066	2.6822	2.9426	3.2689	3.5051
49	0.6795	0.8490	1.0475	1.2991	1.6766	2.0096	2.4049	2.6800	2.9397	3.2651	3.5004
50	0.6794	0.8489	1.0473	1.2987	1.6759	2.0086	2.4033	2.6778	2.9370	3.2614	3.4960
51	0.6793	0.8487	1.0471	1.2984	1.6753	2.0076	2.4017	2.6757	2.9343	3.2579	3.4918
52	0.6792	0.8486	1.0469	1.2980	1.6747	2.0066	2.4002	2.6737	2.9318	3.2545	3.4877
53	0.6791	0.8485	1.0467	1.2977	1.6741	2.0057	2.3988	2.6718	2.9293	3.2513	3.4838
54	0.6791	0.8483	1.0465	1.2974	1.6736	2.0049	2.3974	2.6700	2.9270	3.2481	3.4800
55	0.6790	0.8482	1.0463	1.2971	1.6730	2.0040	2.3961	2.6682	2.9247	3.2451	3.4764
56	0.6789	0.8481	1.0461	1.2969	1.6725	2.0032	2.3948	2.6665	2.9225	3.2423	3.4729
57	0.6788	0.8480	1.0459	1.2966	1.6720	2.0025	2.3936	2.6649	2.9204	3.2395	3.4696
58	0.6787	0.8479	1.0458	1.2963	1.6716	2.0017	2.3924	2.6633	2.9184	3.2368	3.4663
59	0.6787	0.8478	1.0456	1.2961	1.6711	2.0010	2.3912	2.6618	2.9164	3.2342	3.4632
60	0.6786	0.8477	1.0455	1.2958	1.6706	2.0003	2.3901	2.6603	2.9146	3.2317	3.4602
61	0.6785	0.8476	1.0453	1.2956	1.6702	1.9996	2.3890	2.6589	2.9127	3.2293	3.4573
62	0.6785	0.8475	1.0452	1.2954	1.6698	1.9990	2.3880	2.6575	2.9110	3.2270	3.4545
63	0.6784	0.8474	1.0450	1.2951	1.6694	1.9983	2.3870	2.6561	2.9093	3.2247	3.4518
64	0.6783	0.8473	1.0449	1.2949	1.6690	1.9977	2.3860	2.6549	2.9076	3.2225	3.4491
65	0.6783	0.8472	1.0448	1.2947	1.6686	1.9971	2.3851	2.6536	2.9060	3.2204	3.4466
66	0.6782	0.8471	1.0446	1.2945	1.6683	1.9966	2.3842	2.6524	2.9045	3.2184	3.4441
67	0.6782	0.8470	1.0445	1.2943	1.6679	1.9960	2.3833	2.6512	2.9030	3.2164	3.4417
68	0.6781	0.8469	1.0444	1.2941	1.6676	1.9955	2.3824	2.6501	2.9015	3.2145	3.4394
69	0.6781	0.8469	1.0443	1.2939	1.6672	1.9949	2.3816	2.6490	2.9001	3.2126	3.4372
70	0.6780	0.8468	1.0442	1.2938	1.6669	1.9944	2.3808	2.6479	2.8987	3.2108	3.4350
71	0.6780	0.8467	1.0441	1.2936	1.6666	1.9939	2.3800	2.6469	2.8974	3.2090	3.4329
72	0.6779	0.8466	1.0440	1.2934	1.6663	1.9935	2.3793	2.6459	2.8961	3.2073	3.4308
73	0.6779	0.8466	1.0438	1.2933	1.6660	1.9930	2.3785	2.6449	2.8949	3.2057	3.4289
74	0.6778	0.8465	1.0437	1.2931	1.6657	1.9925	2.3778	2.6439	2.8936	3.2041	3.4269
75	0.6778	0.8464	1.0436	1.2929	1.6654	1.9921	2.3771	2.6430	2.8924	3.2025	3.4250
76	0.6777	0.8464	1.0436	1.2928	1.6652	1.9917	2.3764	2.6421	2.8913	3.2010	3.4232
77	0.6777	0.8463	1.0435	1.2926	1.6649	1.9913	2.3758	2.6412	2.8902	3.1995	3.4214
78	0.6776	0.8463	1.0434	1.2925	1.6646	1.9908	2.3751	2.6403	2.8891	3.1980	3.4197
79	0.6776	0.8462	1.0433	1.2924	1.6644	1.9905	2.3745	2.6395	2.8880	3.1966	3.4180
80	0.6776	0.8461	1.0432	1.2922	1.6641	1.9901	2.3739	2.6387	2.8870	3.1953	3.4163
81	0.6775	0.8461	1.0431	1.2921	1.6639	1.9897	2.3733	2.6379	2.8860	3.1939	3.4147
82	0.6775	0.8460	1.0430	1.2920	1.6636	1.9893	2.3727	2.6371	2.8850	3.1926	3.4132
83	0.6775	0.8460	1.0429	1.2918	1.6634	1.9890	2.3721	2.6364	2.8840	3.1913	3.4116
84	0.6774	0.8459	1.0429	1.2917	1.6632	1.9886	2.3716	2.6356	2.8831	3.1901	3.4102
85	0.6774	0.8459	1.0428	1.2916	1.6630	1.9883	2.3710	2.6349	2.8822	3.1889	3.4087
86	0.6774	0.8458	1.0427	1.2915	1.6628	1.9879	2.3705	2.6342	2.8813	3.1877	3.4073
87	0.6773	0.8458	1.0426	1.2914	1.6626	1.9876	2.3700	2.6335	2.8804	3.1866	3.4059
88	0.6773	0.8457	1.0426	1.2912	1.6624	1.9873	2.3695	2.6329	2.8795	3.1854	3.4045
89	0.6773	0.8457	1.0425	1.2911	1.6622	1.9870	2.3690	2.6322	2.8787	3.1843	3.4032
90	0.6772	0.8456	1.0424	1.2910	1.6620	1.9867	2.3685	2.6316	2.8779	3.1833	3.4019
91	0.6772	0.8456	1.0424	1.2909	1.6618	1.9864	2.3680	2.6309	2.8771	3.1822	3.4007
92	0.6772	0.8455	1.0423	1.2908	1.6616	1.9861	2.3676	2.6303	2.8763	3.1812	3.3994
93	0.6771	0.8455	1.0422	1.2907	1.6614	1.9858	2.3671	2.6297	2.8755	3.1802	3.3982
94	0.6771	0.8455	1.0422	1.2906	1.6612	1.9855	2.3667	2.6291	2.8748	3.1792	3.3971
95	0.6771	0.8454	1.0421	1.2905	1.6611	1.9853	2.3662	2.6286	2.8741	3.1782	3.3959
96	0.6771	0.8454	1.0421	1.2904	1.6609	1.9850	2.3658	2.6280	2.8734	3.1773	3.3948
97	0.6770	0.8453	1.0420	1.2903	1.6607	1.9847	2.3654	2.6275	2.8727	3.1764	3.3937
98	0.6770	0.8453	1.0419	1.2902	1.6606	1.9845	2.3650	2.6269	2.8720	3.1755	3.3926
99	0.6770	0.8453	1.0419	1.2902	1.6604	1.9842	2.3646	2.6264	2.8713	3.1746	3.3915
100	0.6770	0.8452	1.0418	1.2901	1.6602	1.9840	2.3642	2.6259	2.8707	3.1737	3.3905
110	0.6767	0.8449	1.0413	1.2893	1.6588	1.9818	2.3607	2.6213	2.8648	3.1660	3.3812
120	0.6765	0.8446	1.0409	1.2886	1.6577	1.9799	2.3578	2.6174	2.8599	3.1595	3.3735
150	0.6761	0.8440	1.0400	1.2872	1.6551	1.9759	2.3515	2.6090	2.8492	3.1455	3.3566
200	0.6757	0.8434	1.0391	1.2858	1.6525	1.9719	2.3451	2.6006	2.8385	3.1315	3.3398
250	0.6755	0.8431	1.0386	1.2849	1.6510	1.9695	2.3414	2.5956	2.8322	3.1232	3.3299
300	0.6753	0.8428	1.0382	1.2844	1.6499	1.9679	2.3388	2.5923	2.8279	3.1176	3.3233
400	0.6751	0.8425	1.0378	1.2837	1.6487	1.9659	2.3357	2.5882	2.8227	3.1107	3.3150
500	0.6750	0.8423	1.0375	1.2832	1.6479	1.9647	2.3338	2.5857	2.8195	3.1066	3.3101
1000	0.6747	0.8420	1.0370	1.2824	1.6464	1.9623	2.3301	2.5808	2.8133	3.0984	3.3003
∞	0.6745	0.8416	1.0364	1.2816	1.6449	1.9600	2.3263	2.5758	2.8070	3.0902	3.2905

How to read this table

Find your degrees of freedom down the left, then choose the column whose one-tailed or two-tailed alpha matches your test. The cell is the positive critical value. The lower-tail value is the same number with a minus sign.

Degrees of freedom that are not on the grid

Interpolation is unnecessary here. Type the degrees of freedom you actually have into the lookup field and the critical value is computed for that df. The printed grid is bounded at 110 rows; values outside it are computed rather than silently approximated.

P(T <= t) = p; t = inverseT(p, df) How?

How this is calculated

Finite rows use the shared Student t quantile. The infinity row uses the standard normal limit. Grid cells show magnitude-adjusted published precision, while CSV and cell copy retain ten significant figures.

Formula: P(T <= t) = p; t = inverseT(p, df)

See Sources below

Sources

Critical Values of the Student's t Distribution (e-Handbook 1.3.6.7.2). NIST/SEMATECH. Retrieved Aug 11, 2026.
Student's t-distribution, table of selected values. Wikipedia. Retrieved Aug 11, 2026.
Numerical Recipes section 6.4, incomplete beta function. Press, Teukolsky, Vetterling and Flannery. Retrieved Aug 11, 2026.
An algorithm for computing the inverse normal cumulative distribution function. Peter J. Acklam. Retrieved Aug 11, 2026.

How we choose and check our formulas