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.
Chi-Square Table (χ² Distribution)
Free chi-square table with critical values for χ² tests. Complete chi-squared distribution table for goodness-of-fit & independence tests.
F-Table (F-Distribution Critical Values)
Free F-table with critical values for ANOVA & regression. Complete F-distribution table at α = 0.05 and α = 0.01 significance levels.
Geometric Distribution Table
Complete geometric distribution probability table showing probabilities of first success on the kth trial for various success probabilities p.
Hypergeometric Distribution Table
Hypergeometric distribution probability table for sampling without replacement. Essential for quality control and lottery calculations.
Multinomial Distribution Reference
Complete multinomial distribution reference guide with probability formulas, examples, and calculations for multi-category outcomes.
Negative Binomial Distribution Table
Negative binomial distribution probability table for calculating probabilities of achieving r successes.
Poisson Distribution Table
Poisson distribution probability table with cumulative and individual probabilities for various lambda (λ) values.
t-Table (Student's t Distribution Table)
Free t-table with critical values for t-tests. Find t values by degrees of freedom & significance level. Printable Student's t distribution table.
Z-Table (Standard Normal Distribution Table)
Free z-table with cumulative probabilities for the standard normal distribution. Find z-scores, critical values & probabilities instantly.
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 Table) - Shows cumulative probabilities for the standard normal distribution. Use for large sample hypothesis tests, confidence intervals, and when the population standard deviation is known.
- t-Table (Student's t Distribution Table) - Provides critical values for t-tests when the population standard deviation is unknown. Essential for small sample inference about means.
- Chi-Square Table (χ² Table) - Used for goodness-of-fit tests, tests of independence, and testing variance. Critical for analyzing categorical data.
- F-Distribution Table - Required for ANOVA (Analysis of Variance), comparing variances, and regression analysis.
- Binomial Table - Probabilities for binary outcome experiments with fixed number of trials.
- Poisson Table - Probabilities for count data and modeling rare events.
When to Use Each Table
Choosing the correct statistical table depends on your data type, sample size, and the hypothesis being tested:
- Comparing means (small sample, unknown σ) → t-table
- Comparing means (large sample or known σ) → z-table
- Comparing 3+ group means → F-table (ANOVA)
- Analyzing categorical data → Chi-square table
- Testing proportions → z-table or binomial table
Quick Reference: Critical Values
Most frequently used critical values at α = 0.05 (95% confidence):
- z-critical (two-tailed): ±1.96
- t-critical (df=10): ±2.228
- t-critical (df=20): ±2.086
- χ² critical (df=1): 3.841
- χ² critical (df=2): 5.991
Free Printable Statistical Tables
All tables on this page can be printed for classroom use, exams, or reference. Use the print button on any table page to generate a clean, printable version. Our interactive calculators also provide instant lookups without needing to read tables manually.