Statistics Calculators

5 Number Summary Calculator

Calculate the five-number summary (min, Q1, median, Q3, max) and visualize with a box plot

Absolute Uncertainty Calculator

Calculate absolute and relative uncertainty for measurements and experimental data

Average Rating Calculator

Calculate the weighted average star rating from individual vote counts for reviews and feedback

Accuracy Calculator

Calculate accuracy, precision, and error rates for statistical analysis

Adjusted R-Squared Calculator

Calculate adjusted R² to account for the number of predictors in regression models

AIC/BIC Calculator

Compare statistical models using Akaike and Bayesian Information Criteria for model selection

Accuracy Calculator

Calculate accuracy, precision, and error rates for statistical analysis

ANOVA Calculator

Perform one-way Analysis of Variance to test if group means differ significantly

Average Percentage Calculator

Calculate the average of multiple percentages

Bayes' Theorem Calculator

Calculate posterior probability from prior and test accuracy

Benford's Law Calculator

Check if your dataset follows Benford's Law — the surprising distribution of leading digits in real-world data

Beta Distribution Calculator

Calculate probabilities and measures for the Beta distribution used in Bayesian inference and modeling proportions

Box Plot Calculator

Visualize data distribution with quartiles, whiskers, and outlier detection

Bonferroni Correction Calculator

Adjust p-values for multiple comparisons to control family-wise error rate

Bertrand's Box Paradox Calculator

Explore the counterintuitive probability puzzle with three boxes and coins

Bertrand's Paradox Calculator

Explore the geometric probability paradox about random chords in a circle

Central Limit Theorem Calculator

Calculate sample mean, standard error, and sampling distribution probabilities using the CLT

Binomial Distribution Calculator

Calculate probabilities for binomial distributions — successes in a fixed number of independent trials

Birthday Paradox Calculator

Calculate shared birthday probabilities in groups

Chebyshev's Theorem Calculator

Calculate minimum data proportion within k standard deviations for any distribution

Chi-Square Calculator

Perform a chi-square goodness of fit test to check if observed data matches an expected distribution

Coefficient of Variation Calculator

Measure relative variability with coefficient of variation for population and sample data

Critical Value Calculator

Calculate critical values for Z, t, chi-square, and F distributions in hypothesis testing

Combination Calculator

Calculate combinations (nCr) — ways to choose r items from n where order doesn't matter, with or without repetition

Confusion Matrix Calculator

Calculate accuracy, precision, recall, F1 score, MCC, and other classification metrics from a confusion matrix

Continuity Correction Calculator

Apply continuity correction when using normal distribution to approximate binomial probabilities

Coin Flip Probability Calculator

Calculate the probability of getting heads or tails in multiple coin flips

Coin Toss Streak Calculator

Calculate the probability of getting consecutive heads (streaks) in a series of coin flips

Confidence Interval Calculator

Calculate confidence intervals for means and proportions with margin of error

Conditional Probability Calculator

Calculate P(A|B) using Bayes' theorem and conditional probability formulas for dependent events

Correlation Coefficient Calculator

Calculate Pearson's r to measure linear relationships between two variables

Covariance Calculator

Calculate sample and population covariance to measure how two variables vary together

Coefficient of Determination Calculator

Calculate R-squared (R²) to measure how well a regression model fits the data

Dice Probability Calculator

Calculate the probability of rolling a specific sum with multiple polyhedral dice

Expected Value Calculator

Calculate the expected value (mean) of a discrete random variable from values and probabilities

False Positive Paradox Calculator

Discover how accurate tests can produce mostly false positives when testing for rare conditions

Exponential Regression Calculator

Fit exponential curves to data and find regression equations

Empirical Rule Calculator

Apply the 68-95-99.7 rule to find ranges within standard deviations of the mean

Exponential Distribution Calculator

Calculate probabilities and measures for the exponential distribution with memoryless property

Exponential Growth Prediction Calculator

Estimate future values based on past exponential growth patterns with growth rate analysis

Hypergeometric Distribution Calculator

Calculate probabilities for sampling without replacement from a finite population

Log-Normal Distribution Calculator

Calculate probabilities and measures for the log-normal distribution used in finance and biology

Chi-Squared Distribution Calculator

Calculate probabilities and measures for the chi-squared (χ²) distribution used in hypothesis testing and goodness-of-fit

Class Width Calculator

Calculate class width for frequency distributions and generate class intervals for histograms

Gamma Distribution Calculator

Calculate probabilities and measures for the Gamma distribution used in waiting times and insurance claims

F-Statistic Calculator

Calculate F-statistic for ANOVA and test group differences

Frequency Distribution Calculator

Build frequency distribution tables and visualize data with ungrouped and grouped distributions

Frequency Polygon Calculator

Visualize frequency distributions as a line graph connecting class midpoints with ogive charts

Histogram Calculator

Create histograms from your data with automatic or custom binning and frequency tables

Pie Chart Calculator

Create pie charts from your data with percentage and degree calculations

Relative Frequency Calculator

Calculate relative frequencies, percentages, and cumulative relative frequencies from your data

Gini Coefficient Calculator

Measure statistical dispersion and inequality in income or wealth distributions

Gambler's Ruin Calculator

Calculate the probability of reaching a target or going bankrupt in repeated gambling scenarios

Geometric Distribution Calculator

Calculate probabilities for the number of trials needed to get the first success

Negative Binomial Distribution Calculator

Calculate probabilities for the number of failures before achieving a fixed number of successes

Geometric Mean Calculator

Calculate the nth root of the product of values for growth rates, ratios, and proportional data

Grouped Data Standard Deviation Calculator

Calculate mean, variance, and standard deviation for grouped data with class intervals

Index of Qualitative Variation

Measure diversity and variation in categorical data

Implied Probability Calculator

Convert betting odds to implied probability percentage

Inverse Normal Distribution Calculator

Find the x-value from a known probability for a normal distribution with left, right, and two-tailed support

Joint Probability Calculator

Calculate the probability of two events occurring together using the multiplication rule

Kelly Criterion Calculator

Determine optimal bet sizing for maximizing long-term growth rate while avoiding ruin

Law of Total Probability Calculator

Compute unconditional probabilities using partition of sample space and conditional probabilities

Linear Regression Calculator

Calculate linear regression equation, correlation, and R² value for your data

Lottery Calculator

Calculate lottery odds, prize tiers, and expected value

Margin of Error Calculator

Calculate margin of error for survey results and statistical studies

Marginal Probability Calculator

Calculate marginal probabilities from joint probability distributions using marginalization

Mann-Whitney U Test Calculator

Compare two independent samples using the non-parametric Wilcoxon rank-sum test

McNemar's Test Calculator

Test for significant changes in paired nominal data using a 2×2 contingency table

Mean Absolute Deviation Calculator

Calculate the mean absolute deviation (MAD) from the mean or median to measure data dispersion

Median and Mode Calculator

Calculate median and mode to find central tendency measures for datasets

Monty Hall Problem Calculator

Explore the famous probability puzzle and calculate winning chances

Multiple Linear Regression Calculator

Perform regression with multiple independent variables and interaction terms

Normal Approximation Calculator

Approximate binomial probabilities using the normal distribution with continuity correction

Odds Calculator

Convert between odds and probability to calculate chances of winning or losing

P-value Calculator

Calculate p-values for z-tests, t-tests, chi-square, and F-tests

Parrondo's Paradox Calculator

Simulate how two losing games can combine to produce a winning strategy

Percentage Calculator

Calculate percentages, percentage change, and more

Percentage Increase Calculator

Calculate percentage increase or decrease between two values

Percentile Rank Calculator

Find the percentile rank of any value in a dataset to understand its relative standing

Permutation Calculator

Calculate permutations (nPr) to find the number of ordered arrangements from a set

Point Estimate Calculator

Calculate point estimates for population parameters from sample data

Polynomial Regression Calculator

Fit polynomial curves to data with customizable degree

Pooled Standard Deviation Calculator

Calculate the pooled standard deviation when combining multiple datasets to measure overall variability

Pooled Variance Calculator

Combine variances from multiple samples to calculate weighted average variance for t-tests

Power Analysis Calculator

Calculate sample size, power, effect size, or significance level for hypothesis tests

Hypothesis Testing Calculator

Run Z-tests and T-tests (one-sample and two-sample) with one- or two-tailed alternatives, p-values, critical values, and a clear reject/fail-to-reject decision

Pearson Correlation Calculator

Calculate Pearson's r to measure the strength and direction of linear relationships with scatter plot and step-by-step workings

Poisson Distribution Calculator

Calculate probabilities and measures for the Poisson distribution modeling event counts in fixed intervals

Probability of 3 Events Calculator

Calculate probabilities for three independent events including union, intersection, and conditional outcomes

Quartiles and IQR Calculator

Calculate Q1, Q2, Q3, interquartile range, and detect outliers for box plot analysis

Quadratic Regression Calculator

Fit quadratic curves to data and calculate regression coefficients with R²

Raw Score Calculator

Calculate raw scores from Z-scores, or solve for any variable in the raw score formula

Rayleigh Distribution Calculator

Calculate probabilities and measures for the Rayleigh distribution used in wind speed and signal processing

Relative Risk Calculator

Calculate risk ratio with confidence intervals from 2×2 tables

Risk Calculator

Calculate relative risk, odds ratio, and statistical risk measures

RSE Calculator — Relative Standard Error

Calculate relative standard error to assess estimate precision and reliability

Sample Size Calculator

Calculate required sample size for surveys and studies

Sampling Error Calculator

Calculate margin of error and confidence intervals for samples

Shannon Entropy Calculator

Calculate information entropy and uncertainty in probability distributions

Skewness and Kurtosis Calculator

Measure data distribution shape, symmetry, and tail behavior with skewness and kurtosis

SMp(x) Distribution Calculator

Simulate virtually any probability distribution using the versatile six-parameter SMp(x) function

Standard Deviation and Variance Calculator

Calculate population and sample standard deviation and variance to measure data dispersion

St. Petersburg Paradox Calculator

Explore the paradox of infinite expected value versus real-world decision making

Stem and Leaf Plot Calculator

Create stem-and-leaf plots to visualize data distributions while preserving individual values

Dot Plot Calculator

Create dot plots to visualize frequency distributions and identify clusters, gaps, and outliers

Two Envelopes Paradox Calculator

Explore the paradox of switching envelopes and understand why the naive expected value calculation fails

Uniform Distribution Calculator

Compute probabilities, PDF, CDF, quantiles, and measures for the continuous uniform distribution

Sum of Squares Calculator

Calculate the sum of squared deviations from the mean to measure data variability

Variance Calculator

Calculate population and sample variance to measure data spread from the mean

Weighted Mean Calculator

Calculate the weighted average where each value has a different importance (weight)

Youden Index Calculator

Calculate Youden's J statistic to evaluate diagnostic test performance

Z-Score Calculator

Calculate Z-scores and raw scores for standardized normal distributions

Weibull Distribution Calculator

Calculate probabilities, quantiles, and common measures of the Weibull distribution

Z-Test Calculator

Perform one-sample and two-sample Z-tests for hypothesis testing