StatisticsCALCULATOR LAB

Statistical Tables

Find the statistical table you need for a probability, critical value or hypothesis-test reference. Browse standard normal, Student's t, chi-square and F distribution tables, with clear examples and links to related calculators.

Z Table

Standard normal probabilities

Look up positive and negative z-scores, percentiles, tail probabilities and critical Z values.

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T Distribution Table

Find Student's t critical values by degrees of freedom and one- or two-tailed significance level.

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Chi-Square Table

Find chi-square critical values by degrees of freedom and upper- or lower-tail probability.

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F Distribution Table

Find F critical values using numerator and denominator degrees of freedom.

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Pearson R Critical Values

Compare an observed correlation with a critical absolute r value for a chosen sample size.

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Z-Transform Table

Find discrete-time transform pairs, inverse sequences, properties and regions of convergence—not standard normal probabilities.

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Fourier Transform Table

Search continuous-time pairs, inverse transforms and properties in angular frequency or Hz.

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Laplace Transform Table

Find unilateral pairs, inverse transforms, initial-value properties and convergence conditions.

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Binomial Distribution Table

Explore an interactive binomial distribution table for exact and cumulative probabilities. Choose n and p, highlight values, and follow worked examples.

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Poisson Distribution Table

Use an interactive Poisson distribution table for exact and cumulative probabilities. Select lambda and event count, highlight values, and see examples.

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Derivative Table

Find common derivatives in a searchable table with power, trig, logarithmic, exponential, and inverse function formulas, rules, and examples.

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Integral Table

Browse a searchable table of integrals with standard antiderivatives, trig and exponential formulas, conditions, and step-by-step examples.

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Which Statistical Table Should You Use?

TableUse it forWhat you needWhat you get
Z Tablestandard normal probabilitiesz-scorecumulative area / critical z
T TableStudent’s t referencedf, alpha, tailcritical t
Chi-Square Tablechi-square referencedf, alpha, tailcritical χ²
F TableF distribution referencenumerator df, denominator df, alphacritical F
Pearson R Tablecorrelation significancesample size, alpha, tailcritical |r|
Z-Transform Tablediscrete-time signal transformssequence, parameters, ROCtransform and inverse pairs
Fourier Transform Tablecontinuous-frequency signal transformsfunction, frequency conventiondirect/inverse pairs and properties
Laplace Transform Tableunilateral continuous-time transformsfunction, parameters, initial valuespairs, properties and convergence
Binomial Distribution Tablefixed independent trialsn, p, k, PMF or CDFprobability matrix and tails
Poisson Distribution Tableevent counts over an intervalλ, k, PMF or CDFprobability matrix and tails
Derivative Tablesymbolic differentiation referencefunction family and domainderivatives and rules
Integral Tablestandard antiderivativesintegrand and domainformulas and derivative checks

A probability lookup starts with a statistic and finds an area under its distribution. A critical-value lookup starts with a tail probability and finds the cutoff. Choose the convention required by your statistical procedure.