Statistics Calculators
Browse our comprehensive collection of statistics calculators for descriptive statistics, probability, distributions, regression, hypothesis testing, ANOVA, nonparametric tests, data visualization, and more. Free online tools for students, researchers, and data analysts.
Mean, Median, Mode Calculator
Calculate the mean, median, mode, range, and other central tendency measures for a data set.
descriptiveStandard Deviation & Variance
Compute sample and population standard deviation, variance, and coefficient of variation.
descriptiveQuartile & Percentile Calculator
Find quartiles, percentiles, interquartile range, and five-number summary of a dataset.
descriptiveSkewness & Kurtosis
Calculate skewness and kurtosis to describe the shape of a distribution.
descriptiveDescriptive Summary Statistics
Generate a comprehensive summary: count, mean, std, min, max, quartiles, and more.
descriptiveFrequency Distribution Table
Create a frequency distribution table for grouped or ungrouped data with class intervals.
descriptiveRange & Interquartile Range
Calculate range, interquartile range, and quartile deviation for data spread.
descriptiveMean Absolute Deviation (MAD)
Calculate mean absolute deviation from the mean or median with step-by-step work.
descriptiveBasic Probability Calculator
Compute probability of single or multiple events, union, intersection, complement.
probabilityCombinations & Permutations
Calculate nCr (combinations) and nPr (permutations) with detailed formula steps.
probabilityConditional Probability
Find conditional probabilities using Bayes' theorem with step-by-step calculations.
probabilityBinomial Probability
Compute binomial probabilities for a given number of trials and success probability.
probabilityPoisson Probability
Calculate Poisson probabilities for a given mean rate and number of events.
probabilityExpected Value & Variance
Calculate expected value, variance, and standard deviation of a discrete probability distribution.
probabilityBayes' Theorem Calculator
Solve Bayesian probability problems with prior, likelihood, and posterior probabilities.
probabilityGeometric Distribution Probability
Calculate probabilities for geometric distribution (number of trials until first success).
probabilityNormal Distribution Calculator
Find probabilities, z-scores, and percentiles for the normal distribution.
distributionsZ-Score Calculator
Compute z-scores from raw scores, or find raw scores from z-scores.
distributionst-Distribution Calculator
Find t-values, p-values, and probabilities for the Student's t-distribution.
distributionsChi-Square Distribution
Compute chi-square critical values, p-values, and probabilities.
distributionsF-Distribution Calculator
Find F-critical values and p-values for the F-distribution.
distributionsExponential Distribution
Calculate exponential distribution probabilities and percentiles.
distributionsUniform Distribution Calculator
Calculate probabilities and statistics for continuous and discrete uniform distributions.
distributionsBeta Distribution Calculator
Compute probabilities and statistics for the Beta distribution.
distributionsSimple Linear Regression
Find regression equation, slope, intercept, Rยฒ, and predictions from data points.
regressionCorrelation Coefficient (r)
Compute Pearson correlation coefficient, p-value, and interpretation.
regressionMultiple Linear Regression
Perform multiple regression with multiple predictors, get coefficients, Rยฒ, and ANOVA.
regressionCoefficient of Determination (Rยฒ)
Calculate Rยฒ and adjusted Rยฒ from regression data.
regressionResidual Analysis
Compute residuals, standardized residuals, and residual plots from regression.
regressionSpearman Rank Correlation
Compute non-parametric Spearman rank correlation coefficient.
regressionKendall's Tau Correlation
Calculate Kendall's Tau rank correlation coefficient for ordinal data.
regressionLogistic Regression Calculator
Perform logistic regression with odds ratios and probability predictions.
regressionOne-Sample t-Test
Test a sample mean against a population mean with t-test statistics and p-value.
hypothesisTwo-Sample t-Test
Compare means of two independent samples (equal or unequal variances).
hypothesisPaired t-Test
Test the difference between paired observations with a paired t-test.
hypothesisZ-Test for Proportion
Test a population proportion using z-test with confidence intervals.
hypothesisChi-Square Goodness of Fit
Test how well observed frequencies fit expected frequencies.
hypothesisChi-Square Test of Independence
Test association between two categorical variables using contingency tables.
hypothesisF-Test for Variances
Compare variances of two populations using the F-test.
hypothesisConfidence Interval Calculator
Calculate confidence intervals for means, proportions, and differences.
hypothesisOne-Way ANOVA
Compare means of three or more groups with ANOVA table, F-statistic, and p-value.
anovaTwo-Way ANOVA
Analyze the effect of two factors and their interaction on a response variable.
anovaPost-Hoc Comparison (Tukey HSD)
Perform Tukey's honestly significant difference test for pairwise comparisons after ANOVA.
anovaRepeated Measures ANOVA
Analyze repeated measures data with within-subjects factors.
anovaANOVA Effect Size (ฮทยฒ, ฯยฒ)
Calculate effect size measures (eta-squared, omega-squared) for ANOVA.
anovaMANOVA Calculator
Perform multivariate ANOVA with multiple dependent variables.
anovaANCOVA Calculator
Perform analysis of covariance with covariates.
anovaSample Size for ANOVA
Calculate required sample size for ANOVA power and effect size.
anovaMann-Whitney U Test
Compare two independent groups with non-parametric Mann-Whitney test.
nonparametricWilcoxon Signed-Rank Test
Compare paired samples using non-parametric Wilcoxon test.
nonparametricKruskal-Wallis Test
Non-parametric alternative to one-way ANOVA for three or more groups.
nonparametricFriedman Test
Non-parametric repeated measures test for three or more related groups.
nonparametricSign Test
Non-parametric test for median of a single sample or paired differences.
nonparametricKolmogorov-Smirnov Test
Test goodness-of-fit or compare two samples with K-S test.
nonparametricAnderson-Darling Test
Test for normality using the Anderson-Darling goodness-of-fit test.
nonparametricShapiro-Wilk Test
Test for normality using the Shapiro-Wilk test with W-statistic and p-value.
nonparametricHistogram Creator
Create a histogram from data with automatic binning and frequency counts.
visualizationBox Plot Generator
Generate a box-and-whisker plot from a dataset with five-number summary.
visualizationScatter Plot & Trend Line
Plot data points and add a trend line (linear regression) with correlation.
visualizationQQ Plot (Normal Probability Plot)
Check normality of data with a Q-Q plot and Shapiro-Wilk test.
visualizationStem-and-Leaf Plot
Create a stem-and-leaf display for data distribution visualization.
visualizationPie Chart Creator
Generate pie charts from categorical data with percentages and labels.
visualizationBar Chart Generator
Create bar charts for categorical or grouped data with customization.
visualizationFrequency Polygon Maker
Generate frequency polygons from grouped frequency distribution data.
visualizationWhat Are Statistics Calculators?
Our Statistics Calculators collection provides a comprehensive suite of tools for analyzing data, understanding probability, and making statistical inferences. Whether you are a student learning introductory statistics, a researcher analyzing experimental data, or a data professional working with real-world datasets, these calculators offer accurate and clear solutions.
From descriptive statistics (mean, median, standard deviation) and probability to hypothesis testing, regression, ANOVA, nonparametric tests, and data visualization, our tools cover the full spectrum of statistical analysis.
How to Use This Directory
- Search: Type a keyword into the search bar to find specific tools by name or description.
- Filter by Category: Use the dropdown to narrow down calculators by statistical topic โ each option shows the number of tools available.
- Click to Use: Each calculator card links directly to the tool. Click on any card to start your data analysis instantly.
- Explore More: Check the "Explore More Math Calculators" section for related calculators across other categories.
Why Use Our Statistics Calculators?
- Comprehensive: Covers descriptive statistics, probability, distributions, regression, hypothesis testing, ANOVA, nonparametric tests, and data visualization.
- Step-by-Step: Many calculators provide detailed computation steps, helping you understand the methods.
- Free & Accessible: No registration or fees โ use any tool instantly on any device.
- Educational & Practical: Ideal for coursework, research, and professional data analysis.
- Accurate & Reliable: Built with robust statistical algorithms and thoroughly tested.
โ Statistics Calculators FAQ
What types of statistical analyses can I perform?
You can perform descriptive statistics (mean, median, standard deviation, quartiles), probability calculations, distribution functions (normal, t, chi-square, F), regression and correlation, hypothesis testing (t-tests, z-tests, chi-square, ANOVA), and nonparametric tests.
How do I calculate the mean and standard deviation of a dataset?
Use the Mean, Median, Mode Calculator or the Standard Deviation & Variance calculator. Enter your data as a list of numbers, and the calculator will compute all measures with step-by-step work.
What is a normal distribution and how do I use it?
The normal distribution is a bell-shaped continuous distribution. Use the Normal Distribution Calculator to find probabilities, percentiles, and z-scores for any given mean and standard deviation.
How do I perform a t-test?
Use the One-Sample t-Test, Two-Sample t-Test, or Paired t-Test calculators. Enter your sample data (and optional population mean or paired differences) and the tool will compute the t-statistic, degrees of freedom, and p-value.
What is the difference between a one-tailed and two-tailed test?
In a one-tailed test, the alternative hypothesis specifies a direction (e.g., mean > 0). In a two-tailed test, it specifies that the mean is different from a value (โ ). Our calculators let you choose which is appropriate for your hypothesis.
How do I calculate correlation between two variables?
Use the Correlation Coefficient calculator. Enter two lists of data (x and y), and the tool will compute the Pearson correlation coefficient r, the coefficient of determination Rยฒ, and the p-value for significance.
What is ANOVA and when should I use it?
ANOVA (Analysis of Variance) is used to compare means of three or more groups. Use One-Way ANOVA for a single factor, or Two-Way ANOVA for two factors with interaction. Our calculators provide the full ANOVA table and post-hoc comparisons.
What are nonparametric tests and when should I use them?
Nonparametric tests do not assume a specific distribution for the data. Use them when data are not normally distributed or when working with ordinal data. Examples include Mann-Whitney U, Wilcoxon, Kruskal-Wallis, and Friedman tests.
How do I create a histogram or box plot?
Use the Histogram Creator or Box Plot Generator under the Data Visualization category. Enter your data, and the tools will generate the plot with appropriate scaling, labels, and summary statistics.
Can these calculators handle large datasets?
Yes, our calculators are designed to handle datasets of various sizes, though very large datasets may be limited by browser performance. For most educational and research purposes, they work efficiently.
How accurate are the p-values and confidence intervals?
We use robust numerical methods and standard statistical formulas. P-values are accurate to typical levels (e.g., 4-6 decimal places). Confidence intervals are computed using standard methods.
How often are new statistics tools added?
We continually expand our collection based on user feedback and emerging statistical methods. If you have a suggestion, please contact us via the contact page.