Statistics And Data Analysis

Plan an A/B test before you launch. Enter baseline conversion rate, minimum detectable effect, significance level and power to get the required sample size per variant, the total sample, and the test duration at your traffic.

Enter visitors and conversions for control and variant groups to calculate uplift, p-value, and confidence level with a win/lose verdict.

Perform one-way ANOVA test to determine if there are significant differences among group means. Includes complete ANOVA table, effect size (eta-squared, omega-squared), interactive visualizations, and step-by-step hypothesis testing.

Enter a list of numbers separated by commas, spaces, or line breaks to calculate their arithmetic mean, median, mode, range, variance, and standard deviation.

Calculate mean, median, mode, geometric mean, harmonic mean, and weighted average with complete statistical analysis, visualizations, and step-by-step solutions.

Calculate the average absolute deviation (AAD) of a dataset from the mean or median. Includes step-by-step calculations, visual distribution chart, and comprehensive statistical analysis.

Calculate posterior probability using Bayes' theorem. Enter prior probability, likelihood, and false positive rate to get step-by-step solutions with probability tree diagrams and natural frequency visualizations.

Calculate beta distribution probabilities from shape parameters alpha and beta. Get P(X <= x), P(X >= x) or an interval, with interactive PDF and CDF graphs, shaded regions, step-by-step solutions, mean, variance, mode and skewness.

Paste labeled datasets to compare their distributions in a box plot. Choose an outlier rule and review each group's five-number summary and IQR.

Run a chi-square test of independence to see whether two categorical variables are significantly associated. Get the chi-square statistic, p-value, expected frequencies, cell contributions and Cramer's V effect size, step by step.

Calculate Coefficient of Variation (CV) with step-by-step formulas, visual comparison charts, data quality assessment, and comprehensive statistical analysis for your datasets.

Calculate Cohen's d effect size to measure the standardized difference between two group means. Features step-by-step calculations, interactive visualization, effect size interpretation, and support for both raw data and summary statistics.

Calculate compound annual growth rate (CAGR), future value, initial value, or time periods with interactive growth charts, detailed breakdowns, and comprehensive analysis for investments and business growth.

Use raw data, summary statistics or success counts to calculate a confidence interval. Choose a 90%, 95% or 99% confidence level and view the steps.

Calculate confidence intervals for population proportions using Wald (normal approximation) or Wilson score methods. Get step-by-step solutions, visual diagrams, margin of error analysis, and practical interpretation guidance.

Enter categorical counts up to a 20x20 table size. Get expected frequencies, standardized residuals, Cramér's V, and chi-square test results.

Calculate the conversion rate from visitors to conversions, with Wilson, Wald, and Agresti-Coull confidence intervals, margin of error, sample-adequacy check, and an animated funnel to gauge reliability for A/B testing and funnel analysis.

Enter paired x and y values. Get Pearson, Spearman, and Kendall correlations, a scatter plot, and p-values.

Calculate and visualise effect sizes including Cohen's d, Hedges' g, Glass's delta, eta-squared, omega-squared and Cohen's f. See animated distribution overlap, step-by-step formulas, CLES probability and interpretation guidelines.

Calculate exponential distribution probabilities and explore its properties. Enter the rate parameter and a value to get P(X <= x), P(X > x) and interval probabilities, plus mean, variance, median, PDF and CDF curves and worked steps.

Calculate F-statistic and p-value for ANOVA, two-sample variance tests, and regression analysis. Get step-by-step solutions with interactive F-distribution curve visualization, critical value tables, and hypothesis test conclusions.

Enter the four counts of a 2×2 table to get one-tailed and two-tailed Fisher's exact p-values, the odds ratio, and relative risk.

Calculate the five-number summary (minimum, Q1, median, Q3, maximum) for any dataset. Features an interactive box-and-whisker plot, step-by-step quartile calculations, outlier detection, and multiple calculation methods.

Calculate geometric distribution probabilities for the number of trials until the first success. Enter the per-trial success probability and the trial number to get the PMF, CDF, cumulative probabilities and step-by-step solutions.

Calculate the geometric mean of any dataset with step-by-step formulas, interactive visualization, comparison with arithmetic mean, and comprehensive statistical analysis.

Calculate the Gini coefficient to measure inequality of a distribution using the Lorenz curve approach. Features step-by-step calculation, interactive Lorenz curve visualization, quintile analysis, and inequality interpretation.

Calculate the harmonic mean of a data set with step-by-step formulas, comparison with arithmetic and geometric means, interactive visualization, and practical examples for rates, speeds, and financial analysis.

Create beautiful histograms online with comprehensive statistical analysis including mean, median, mode, skewness, kurtosis, and distribution shape detection. Supports auto-optimal bin calculation and PNG export.

Calculate hypergeometric probabilities for sampling without replacement. Enter population size, success states, draws and observed successes to get exact and cumulative probabilities, PMF charts, worked steps and urn visualizations.

Paste a list of numbers. See Q1, Q2, Q3, the IQR, the five-number summary, and outliers, with a box plot and steps.

Compare up to 20 independent groups to get Kruskal-Wallis H test results, rank analyses, effect sizes, and step-by-step calculations.

Calculate linear regression equation, slope, intercept, R-squared, and make predictions with interactive scatter plot visualization and step-by-step formula breakdown.

Enter initial value, growth rate, time, and base to calculate logarithmic growth curves. Generates year-by-year tables for up to 100 years.

Paste two independent samples. Get the Mann-Whitney U statistic, a p-value, an effect size, and the rank-sum steps.

Calculate Mean Absolute Deviation with step-by-step formulas, interactive visualization, and comprehensive statistical analysis. Understand data variability with our free MAD calculator.

Calculate the arithmetic mean (average) of any dataset with interactive visualization, step-by-step formula breakdown, and comprehensive statistics including sum, median, range, and standard deviation.

Calculate mean, median, mode and range with step-by-step formulas, interactive visualization, frequency analysis, and comprehensive statistical breakdown for any dataset.

Calculate the median absolute deviation (MAD) of a dataset with step-by-step formulas, interactive visualization, outlier detection, and robustness comparison to standard deviation.

Enter numbers separated by commas, spaces, or line breaks to calculate the median, range, minimum, and maximum with step-by-step explanations.

Calculate the midrange of any dataset with step-by-step visualization showing the midpoint between maximum and minimum values, plus comprehensive statistics including mean, median, and range comparison.

Calculate the mode (most frequent values) of a dataset with interactive frequency visualization, step-by-step analysis, and comprehensive statistics.

Calculate probabilities for the normal (Gaussian) distribution including PDF, CDF, and inverse CDF with interactive bell curve visualization showing shaded probability areas.

Calculate odds ratio, relative risk, confidence intervals, and number needed to treat from a 2×2 contingency table. Features animated forest plot, step-by-step solution with MathJax formulas, and clinical interpretation.

Enter numbers separated by commas, spaces, or line breaks to find Q1, Q3, the interquartile range, and all values outside the fences with step-by-step math.

Calculate p-values from test statistics including z-score, t-statistic, chi-square, and F-statistic for one-tailed and two-tailed hypothesis tests.

Build Pareto charts that combine ranked bars with a cumulative-percent line so the "vital few" causes behind 80% of any problem jump out instantly. Paste data, pick a threshold, and read the takeaway sentence — no spreadsheet needed.

Calculate the value at any percentile in a dataset, or determine the percentile rank of a specific value. Supports linear, nearest rank, and exclusive interpolation methods with step-by-step breakdown and visualization.

Calculate population standard deviation (σ) with step-by-step calculations, interactive visualization, variance, mean, and data quality assessment for complete population datasets.

Calculate quartiles (Q1, Q2, Q3), interquartile range (IQR), detect outliers, and visualize data distribution with interactive box plots and step-by-step calculations.

Calculate the quartile deviation (semi-interquartile range) of a dataset with interactive box plot visualization, complete quartile analysis (Q1, Q2, Q3, IQR), outlier detection, and step-by-step calculation breakdown.

Calculate the range of any dataset instantly with visual spread analysis, step-by-step calculations, quartile breakdown, and interactive data distribution chart.

Calculate root mean square (RMS) of a set of numbers with step-by-step calculations, interactive visualization, AC/DC signal analysis, and statistical insights.

RSD describes spread relative to the mean; it does not establish accuracy or data quality. Judge acceptability using criteria for your method and purpose. A mean near zero can make this ratio unstable.

Calculate the sample mean (arithmetic average) of any dataset with step-by-step visualization, deviation analysis, data distribution chart, and comprehensive statistical insights.

Calculate the required sample size for surveys, research studies, and statistical analysis with confidence level, margin of error, and finite population correction. Get step-by-step formula breakdowns and visual confidence intervals.

Enter sample values. Get the sample standard deviation and variance, plus the mean, median, range, and flagged outliers.

Create beautiful interactive scatter plots to visualize relationships between two variables. Features correlation analysis, trend lines, multiple styling options, and downloadable PNG charts.

Enter a mean, sigma, and spec limits, or paste raw measurements. Get Cp, Cpk, Pp, Ppk, sigma level, DPMO, and yield.

Calculate Spearman's rank correlation coefficient (ρ) with step-by-step ranking, tied rank handling, scatter plot visualization, significance testing, and detailed interpretation of monotonic relationships.

Calculate standard deviation, variance, mean, and other statistics with step-by-step solutions and visualizations.

Calculate standard error of the mean (SEM) with step-by-step calculations, confidence intervals, data visualizations, and comprehensive statistical analysis for your dataset.

Enter numbers to get count, sum, mean, median, mode, range, variance, standard deviation, geometric and harmonic means, quartiles, and outliers.

Perform Welch's t-test to determine if there is a statistically significant difference between the means of two independent groups.

Calculate sample variance and population variance with interactive visualization, step-by-step formulas, deviation analysis, and comprehensive statistical insights.

Calculate Weibull probabilities, reliability, hazard rate and B-life percentiles. Enter the shape and scale parameters to get the PDF, CDF, mean, variance and MTTF, with step-by-step solutions and graphs showing bathtub-curve behaviour.

Calculate z-scores (standard scores) instantly with step-by-step formulas, interactive normal distribution visualization, probability lookup, percentile ranking, and statistical interpretation.

Enter labels and one or more series, up to 200 points. Make a line chart with curves, area fill, or markers, then download PNG or SVG.

Enter labels and values, up to 50 bars, and choose a direction and color theme to download a PNG or SVG.

Enter labels and values, up to 20 slices, to draw a pie or donut chart and download it as PNG or SVG.