t Table (Student’s t Distribution Critical Values) — GetCalcMaster
t distribution critical values table (two‑tailed α) across common degrees of freedom, plus a quick guide for one‑tailed vs two‑tailed tests.
A practical t table for common degrees of freedom (df) and two‑tailed significance levels α.
t critical values (two-tailed α)
This table shows t* such that P(|T| ≤ t*) = 1 − α for the given degrees of freedom (df). For one-tailed tests, use αone = αtwo/2.
| df | α=0.1 | α=0.05 | α=0.02 | α=0.01 |
|---|---|---|---|---|
| 1 | 6.314 | 12.706 | 31.821 | 63.657 |
| 2 | 2.92 | 4.303 | 6.965 | 9.925 |
| 3 | 2.353 | 3.182 | 4.541 | 5.841 |
| 4 | 2.132 | 2.776 | 3.747 | 4.604 |
| 5 | 2.015 | 2.571 | 3.365 | 4.032 |
| 6 | 1.943 | 2.447 | 3.143 | 3.707 |
| 7 | 1.895 | 2.365 | 2.998 | 3.499 |
| 8 | 1.86 | 2.306 | 2.896 | 3.355 |
| 9 | 1.833 | 2.262 | 2.821 | 3.25 |
| 10 | 1.812 | 2.228 | 2.764 | 3.169 |
| 11 | 1.796 | 2.201 | 2.718 | 3.106 |
| 12 | 1.782 | 2.179 | 2.681 | 3.055 |
| 13 | 1.771 | 2.16 | 2.65 | 3.012 |
| 14 | 1.761 | 2.145 | 2.624 | 2.977 |
| 15 | 1.753 | 2.131 | 2.602 | 2.947 |
| 16 | 1.746 | 2.12 | 2.583 | 2.921 |
| 17 | 1.74 | 2.11 | 2.567 | 2.898 |
| 18 | 1.734 | 2.101 | 2.552 | 2.878 |
| 19 | 1.729 | 2.093 | 2.539 | 2.861 |
| 20 | 1.725 | 2.086 | 2.528 | 2.845 |
| 21 | 1.721 | 2.08 | 2.518 | 2.831 |
| 22 | 1.717 | 2.074 | 2.508 | 2.819 |
| 23 | 1.714 | 2.069 | 2.5 | 2.807 |
| 24 | 1.711 | 2.064 | 2.492 | 2.797 |
| 25 | 1.708 | 2.06 | 2.485 | 2.787 |
| 26 | 1.706 | 2.056 | 2.479 | 2.779 |
| 27 | 1.703 | 2.052 | 2.473 | 2.771 |
| 28 | 1.701 | 2.048 | 2.467 | 2.763 |
| 29 | 1.699 | 2.045 | 2.462 | 2.756 |
| 30 | 1.697 | 2.042 | 2.457 | 2.75 |
| 40 | 1.684 | 2.021 | 2.423 | 2.704 |
| 60 | 1.671 | 2 | 2.39 | 2.66 |
| 120 | 1.658 | 1.98 | 2.358 | 2.617 |
| ∞ | 1.645 | 1.96 | 2.326 | 2.576 |
How to use this t table
- Compute degrees of freedom (often df = n − 1 for a one-sample mean).
- Choose α (two-tailed) based on your confidence level or hypothesis test.
- Read the critical value t* at the df row and α column.
- For one-tailed tests, use αone = αtwo/2 (e.g., α=0.05 one-tailed corresponds to α=0.10 two-tailed).
Download table data
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Tip: for programmatic use, start with the stats-manifest.json to discover all available files.