Statistics Calculators

34 free statistics calculators in Math.

ANOVA CalculatorPerform one-way ANOVA: compute SSB, SSW, F statistic and p-value for group means comparison.
Binomial Distribution CalculatorCalculate PMF, CDF, mean and variance for the binomial distribution B(n,p).
Binomial ProbabilityFree Binomial Probability calculator with clear step-by-step results.
Chi-Square CalculatorRun a chi-square goodness-of-fit test comparing observed vs expected frequencies.
Confidence Interval CalculatorBuild confidence intervals for a mean or proportion at any confidence level.
Correlation CalculatorCompute Pearson's correlation coefficient r between two paired datasets.
Covariance CalculatorCalculate sample or population covariance between two paired datasets.
Expected Value CalculatorCompute the expected value E[X] from a discrete probability distribution table.
F-Test CalculatorCompare two sample variances with an F-test, returning the F statistic and p-value.
Five Number Summary CalculatorReport the minimum, Q1, median, Q3 and maximum of a dataset for box-plot construction.
Geometric Distribution CalculatorCalculate PMF, CDF, mean and variance for the geometric distribution (trials until first success).
IQR CalculatorCalculate the interquartile range (Q3 − Q1) as a robust measure of spread.
Linear Regression CalculatorFit a least-squares line y = mx + b to paired data and report slope, intercept and R².
Margin of Error CalculatorCalculate the margin of error for a survey or poll given sample size and confidence level.
Mean, Median, Mode, Range CalculatorFind all four measures of centre and spread for any list of numbers.
Multiple Regression CalculatorFit a multiple linear regression y = b₀ + b₁x₁ + b₂x₂ for two predictors using normal equations.
Normal Distribution CalculatorCompute PDF, CDF, and inverse CDF for the normal (Gaussian) distribution with given μ and σ.
Outlier Detection CalculatorIdentify outliers in a dataset using Tukey's 1.5×IQR fence method.
P-value CalculatorConvert a test statistic into a p-value for z, t and chi-square tests.
Percentile CalculatorFind the value at any percentile rank in a dataset using linear interpolation.
Poisson Distribution CalculatorCalculate PMF, CDF, mean and variance for the Poisson distribution with rate λ.
Poisson ProbabilityFree Poisson Probability calculator with clear step-by-step results.
Probability Distribution CalculatorCalculate PMF/PDF, CDF, mean and variance for common discrete and continuous distributions.
Quartiles CalculatorCompute Q1, Q2, Q3 from a dataset using the percentile interpolation method.
Range Calculator (Statistics)Find the statistical range (max − min) of a dataset with extremes identified.
Regression PredictionFree Regression Prediction calculator with clear step-by-step results.
Sample Size CalculatorDetermine the sample size needed for a target margin of error and confidence.
Standard Deviation CalculatorCompute population and sample standard deviation, variance and standard error.
Statistics CalculatorFull descriptive statistics for a dataset: centre, spread, quartiles, skew and outliers.
T Score CalculatorConvert a raw score to a T score (mean 50, SD 10) given the group mean and standard deviation.
T-Test CalculatorPerform a one-sample or two-sample t-test with t statistic, degrees of freedom and p-value.
Uniform Distribution CalculatorCalculate PDF, CDF, mean and variance for the continuous uniform distribution on [a, b].
Variance CalculatorCalculate population or sample variance from a dataset with step-by-step squared deviations.
Z-score CalculatorConvert between z-scores, raw values and normal distribution probabilities.