Statistical Tables

Free statistical distribution tables for students, researchers, and professionals. Essential reference tables for hypothesis testing, confidence intervals, and probability calculations.

Distribution Tables

Binomial Distribution Table

Complete binomial probability table with cumulative and individual probabilities for various n and p values.

binomial distributionbinomial probabilitydiscrete probability

Chi-Square (χ²) Distribution Table

Complete chi-square distribution table with critical values for goodness-of-fit tests, independence tests, and variance testing.

chi-squareχ²chi-squared

F-Distribution Table

Complete F-distribution critical values table for ANOVA, regression analysis, and comparing variances at various significance levels.

F-distributionF-tableANOVA

Geometric Distribution Table

Complete geometric distribution probability table showing probabilities of first success on the kth trial for various success probabilities p.

geometric distributionfirst successwaiting time

Hypergeometric Distribution Table

Hypergeometric distribution probability table for sampling without replacement. Essential for quality control and lottery calculations.

hypergeometric distributionsampling without replacementfinite population

Multinomial Distribution Reference

Complete multinomial distribution reference guide with probability formulas, examples, and calculations for multi-category outcomes.

multinomial distributionmulti-categorydice probability

Negative Binomial Distribution Table

Negative binomial distribution probability table for calculating probabilities of achieving r successes.

negative binomialPascal distributionr successes

Poisson Distribution Table

Poisson distribution probability table with cumulative and individual probabilities for various lambda (λ) values.

poisson distributionrare eventslambda

t-Table (Student's t Distribution)

Complete t-distribution table with critical values for various degrees of freedom and significance levels. Essential for t-tests.

t-tablet-distributionStudent's t

Z-Table (Standard Normal Table)

Complete z-table showing cumulative probabilities for the standard normal distribution. Find z-scores and probabilities.

z-tablestandard normalz-score

How to Use Statistical Tables

Statistical tables are essential reference tools for hypothesis testing, confidence interval construction, and probability calculations. Before statistical software became widespread, these tables were the primary method for finding critical values and probabilities.

Common Statistical Tables

  • Z-Table (Standard Normal) - Used for large sample hypothesis tests and confidence intervals
  • t-Table (Student's t) - Essential for small sample inference about means
  • Chi-Square Table - Used for goodness-of-fit tests and tests of independence
  • F-Distribution Table - Required for ANOVA and comparing variances
  • Binomial Table - Probabilities for binary outcome experiments
  • Poisson Table - Probabilities for count data and rare events

When to Use Each Table

Choosing the correct statistical table depends on your data type, sample size, and the hypothesis being tested. Our guides with each table explain when and how to use them effectively.