Absolute Uncertainty Calculator
Calculate absolute, relative, and expanded uncertainty for measurements and propagate errors through addition, subtraction, multiplication, division, and powers.
Free General Calculators
58 toolsGeneral statistics reference and utility calculators. Browse our free general tools below — no sign-up required.
Benford's Law Calculator
Test whether a dataset follows Benford's Law using chi-squared, K-S, and MAD statistics. Visualize leading digit distribution against expected frequencies.
Bertrand Box Paradox Calculator
Explore the Bertrand box paradox with interactive probability calculations, visual box displays, coin-level analysis, and Monte Carlo simulation.
Bertrand Paradox Calculator
Explore Bertrand's paradox of random chords with three methods, inscribed polygon comparison, probability visualization, and Monte Carlo simulation.
Boy or Girl Paradox Calculator
Explore the boy-or-girl paradox with conditional probability for multiple scenarios, distribution tables, and Monte Carlo simulation verification.
Chebyshev's Theorem Calculator
Apply Chebyshev's inequality to find the minimum proportion of data within k standard deviations of the mean, with normal distribution comparison.
Class Width Calculator
Calculate class width for frequency distributions using Sturges', Scott's, Freedman-Diaconis, and Rice rules. Generate class intervals automatically.
Cohen's d Calculator
Calculate Cohen's d, Hedges' g, and Glass's Δ effect sizes with CLES, overlap metrics, confidence intervals, and benchmark interpretation tables.
Confusion Matrix Calculator
Compute accuracy, precision, recall, F1, MCC, kappa, and 15+ classification metrics from TP/FP/FN/TN values with visual matrix and performance bars.
Continuity Correction Calculator
Apply Yates continuity correction for binomial-to-normal and Poisson-to-normal approximations with exact comparison, z-scores, and CDF tables.
Critical Value Calculator
Find critical values for Z, t, chi-square, and F distributions by significance level and degrees of freedom with reference tables and rejection region visualization.
Decile Calculator
Calculate deciles (D1-D9) from any dataset with three interpolation methods, decile range analysis, distribution bars, and color-coded sorted data display.
Decimal Odds Calculator
Convert between decimal, fractional, and American odds formats with implied probability, payout tables, stake analysis, and a complete conversion reference chart.
Degrees of Freedom Calculator
Calculate degrees of freedom for t-tests, ANOVA, chi-square, regression, and Welch's test with step-by-step formulas and a comprehensive reference table.
Dispersion Calculator
Calculate range, variance, standard deviation, IQR, MAD, CV, skewness, and kurtosis from any dataset with deviation tables, visual spread plot, and outlier detection.
Dot Plot Calculator
Generate interactive dot plots from data with frequency distribution tables, cumulative frequencies, summary statistics, and sortable output options.
Empirical Rule Calculator (68-95-99.7)
Apply the 68-95-99.7 rule to normal distributions with bell curve visualization, section probabilities, z-score lookup, and Chebyshev comparison table.
Error Propagation Calculator
Propagate measurement uncertainties through addition, multiplication, powers, logarithms, and exponentials with error budget analysis and step-by-step derivations.
F-Statistic Calculator
Calculate the F-statistic with p-value, critical value, ANOVA summary table, effect sizes (eta-squared, omega-squared), and rejection region visualization.
False Positive Paradox Calculator
Demonstrate the false positive paradox (base rate fallacy) with visual breakdowns, PPV-prevalence curves, retest analysis, and strategies for resolving the paradox.
False Positive Rate Calculator
Calculate false positive rate, PPV, NPV, and 11 diagnostic metrics from prevalence, sensitivity, and specificity with confusion matrix and PPV-prevalence curve.
Five-Star Rating Calculator
Analyze star ratings with simple average, Bayesian average, Wilson confidence, distribution visualization, polarity detection, and entropy-based consensus metrics.
Fractional Odds Calculator
Convert between fractional, decimal, American odds and implied probability with payout tables, profit calculations, and a comprehensive odds reference chart.
Geometric Distribution Calculator
Calculate geometric distribution probabilities with PMF, CDF, waiting time tables, distribution visualization, and summary statistics for trials until first success.
Greatest to Least Calculator
Sort numbers from greatest to least with visual bar chart, ranked data table showing percentiles, gaps, deviations, and a five-number summary with IQR.
Index of Qualitative Variation (IQV) Calculator
Calculate IQV, Blau's index, Shannon entropy, and Gini coefficient for categorical data with distribution visualization and diversity measure comparisons.
Least to Greatest Calculator
Sort numbers from least to greatest with number line visualization, ranked data table with percentiles, gap analysis, outlier detection, and five-number summary.
Least to Greatest Decimals Calculator
Sort decimal numbers from least to greatest with precision analysis, fraction approximation, number line visualization, and gap analysis for scientific data.
Lower Fence Calculator
Calculate lower and upper fences for outlier detection using IQR method with box plot visualization, outlier classification, and clean-data impact analysis.
Mann-Whitney U Test Calculator
Perform Mann-Whitney U test (Wilcoxon rank-sum) with automatic ranking, tie correction, z-approximation, effect size, and detailed rank tables.
Moneyline Odds Calculator
Convert moneyline/American odds to decimal, fractional, and implied probability with payout tables, parlay builder, vig analysis, and common odds reference chart.
Normal Approximation Calculator
Use the normal approximation to the binomial distribution. Calculate probabilities, z-scores, and check validity conditions with continuity correction.
Odds Calculator
Convert between probability, odds for, odds against, decimal, fractional, and American odds. Includes expected value tables and comparisons.
Order from Least to Greatest Calculator
Sort numbers from least to greatest or greatest to least. Shows sorting steps, rank table, percentiles, number line, and position changes.
Ordering Decimals Calculator
Sort decimal numbers in ascending or descending order. Aligns decimal places, shows fraction approximations, gap analysis, and number line visualization.
Ordering Numbers Calculator
Sort any set of numbers in ascending or descending order. Shows rank tables, quartiles, odd/even breakdown, grouping, and frequency distribution.
P-Hat Calculator
Calculate the sample proportion (p-hat), standard error, confidence intervals (Wald and Wilson), margin of error, and required sample sizes.
Parrondo's Paradox Calculator
Simulate Parrondo's paradox: two losing games that produce a winning strategy when combined. Adjust probabilities and see trajectory results.
Pie Chart Angle Calculator
Calculate the exact angle in degrees for each slice of a pie chart. Shows start/end angles, arc lengths, mid-angles, and step-by-step formulas.
Pie Chart Calculator
Create pie charts from data with percentages, degree angles, SVG visualization, Herfindahl index, Shannon entropy, and cumulative breakdowns.
Pie Chart Percentage Calculator
Calculate percentages for pie chart slices from raw data. Includes Pareto analysis, cumulative percentages, variation metrics, and step-by-step formulas.
Point Estimate Calculator
Calculate point estimates for population mean, proportion, variance, and differences. Compare Wald, Wilson, Laplace, and Jeffreys estimators with confidence intervals.
Raw Score Calculator
Convert z-scores to raw scores using the population mean and standard deviation. Includes percentile lookup, distribution visualizer, and benchmark tables.
Rayleigh Distribution Calculator
Calculate PDF, CDF, quantiles, and moments for the Rayleigh distribution. Includes distribution visualization, survival function, hazard rate, and range probabilities.
Relative Error Calculator
Calculate absolute, relative, and percentage error between measured and actual values. Includes tolerance checking, error propagation, and visual comparison.
Relative Risk Calculator
Calculate relative risk, odds ratio, absolute risk difference, and NNT from a 2×2 contingency table. Includes 95% confidence intervals and chi-squared test.
Relative Standard Error (RSE) Calculator
Calculate the relative standard error, coefficient of variation, and quality rating for survey estimates. Includes confidence intervals and sample size planning.
Risk Calculator
Calculate expected loss, mitigation ROI, risk scores, and sensitivity analysis. Includes risk matrix, breakeven analysis, and visual risk gauge.
Sample Mean & Proportion Calculator
Calculate sample mean or proportion with standard error, confidence intervals, hypothesis testing, and sample size planning. Includes Wilson interval for proportions.
Shannon Entropy Calculator
Calculate Shannon entropy, evenness, redundancy, perplexity, KL divergence, and Rényi entropy spectrum for any categorical distribution. Supports bits, nats, and hartleys.
Simpson's Diversity Index Calculator
Calculate Simpson's Diversity Index, Shannon Index, evenness, richness, and Hill numbers for any categorical dataset. Includes visual distribution bars and detailed breakdown.
Sum of Squares Calculator
Calculate sum of squares (SS), variance, and ANOVA decomposition. Shows SS total, SS between, SS within, F-statistic, and detailed deviation breakdowns.
T-Statistic Calculator
Calculate t-statistic, p-value, and Cohen's d for one-sample, two-sample (Welch's), and paired t-tests. Includes critical value table and distribution visual.
Two Envelopes Paradox Simulator
Simulate the two envelopes paradox with Monte Carlo trials. Compare switch vs keep strategies, visualize convergence, and understand the probability fallacy.
Upper & Lower Fence Calculator
Calculate both inner and outer fences for outlier detection. Shows box plot with dual fence boundaries, five-number summary, data classification, and distribution shape analysis.
Upper Control Limit (UCL) Calculator
Calculate UCL, LCL, and center line for X-bar, R, S, p, np, c, and u control charts. Includes interactive control chart, SPC constants, and out-of-control detection.
Upper Fence Calculator
Calculate upper fence for outlier detection using the IQR method. Shows box plot, fence comparison at multiple k-values, and classifies every data point as normal, mild, or extreme outlier.
Youden's Index Calculator
Calculate Youden's J statistic from sensitivity and specificity or a 2×2 table. Includes ROC space visualization, PPV/NPV, DOR, LR+/LR−, MCC, and a 13-metric performance dashboard.