All available tables
Continuous distributions
Discrete distributions
What are statistical tables for?
Statistical tables let you turn a test statistic into a probability, or locate a critical value to make decisions in confidence intervals and hypothesis tests. On ProbLab you can use them interactively without interpolating by hand.
If you need a full calculator, each table links to its related distribution to compute PDF, CDF, tails and percentiles with custom parameters.
Which table to use for each problem
Normal Z
For standardized scores, normal approximations, large-sample proportions and confidence critical values.
Student's t
For means with unknown population standard deviation, especially with small samples.
Chi-square
For variances, goodness-of-fit and independence in contingency tables.
F (Snedecor)
For comparing variances and models using variance ratios, such as ANOVA.
Worked example: 95% critical value
For a two-sided 95% interval with the standard normal distribution, you need to leave 2.5% in each tail. In the normal table, the cumulative quantile 0.975 corresponds approximately to z = 1.96. That value is used in confidence intervals and Z tests.