Statistics Calculator
Get the mean, median, mode, standard deviation, variance, quartiles and range of a data set in one go.
Find critical t-values for any degrees of freedom and significance level, one- or two-tailed.
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| df | α = 0.10 | α = 0.05 | α = 0.01 |
|---|---|---|---|
| 1 | 6.314 | 12.706 | 63.657 |
| 2 | 2.920 | 4.303 | 9.925 |
| 3 | 2.353 | 3.182 | 5.841 |
| 4 | 2.132 | 2.776 | 4.604 |
| 5 | 2.015 | 2.571 | 4.032 |
| 10 | 1.812 | 2.228 | 3.169 |
| 15 | 1.753 | 2.131 | 2.947 |
| 20 | 1.725 | 2.086 | 2.845 |
| 25 | 1.708 | 2.060 | 2.787 |
| 30 | 1.697 | 2.042 | 2.750 |
| 60 | 1.671 | 2.000 | 2.660 |
| 120 | 1.658 | 1.980 | 2.617 |
As df grows, t approaches the normal z-value (1.960 for α = 0.05). Values are computed from the Student’s t distribution (regularized incomplete beta function), not copied from a printed table.
2.228 (two-tailed).
When the population standard deviation is unknown and you estimate it from a sample, especially for small samples.
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Get the mean, median, mode, standard deviation, variance, quartiles and range of a data set in one go.
Look up standard normal probabilities for any z-score, or find the z-score for a probability.
Calculate the sample or population standard deviation of a data set, with every step shown.
Combine the probabilities of two independent events, or find the chance something happens at least once over repeated tries.
Find the mean, median, mode and range of a set of numbers, with the sorted list.
Find the sample or population variance of a list of numbers, with the mean and sum of squares.