Statistics
Free statistics calculators for averages, standard deviation, probability and grade curves, each with the formula and a worked example you can follow.
47 calculators
Descriptive statistics
Standard Deviation CalculatorSample and population standard deviation, variance and mean.Mean Median Mode CalculatorMean, median, mode and range for a data set.Variance CalculatorSample and population variance, with the working.Z-Score CalculatorZ-score from a value, mean and standard deviation.Average CalculatorAverage of a list of numbers, with the running total.Coefficient of Variation CalculatorCoefficient of variation, the spread relative to the mean.Median CalculatorMedian of a data set, with the two middle values.Mode CalculatorMode, its frequency and how many values tie for the top spot.Percentile CalculatorValue at a percentile you choose, with its two neighbours.Quartile CalculatorQuartiles, IQR and the five-number summary.Covariance CalculatorCovariance between two data sets, sample or population.Midrange CalculatorMidrange of a data set, from its low and high values.Outlier CalculatorOutliers by the IQR rule, with the fences shown.Range CalculatorRange, and the min and max it comes from.Relative Standard Deviation CalculatorRelative standard deviation as a percentage of the mean.Sum of Squares CalculatorSum of squared deviations from the mean, plus the raw Σx².
Probability & distributions
Random Number GeneratorRandom numbers in any range, with or without repeats.Bayes' Theorem CalculatorPosterior probability from priors and likelihoods.Binomial Distribution CalculatorBinomial probabilities, mean and variance.Dice RollerRoll dice with any number of sides, and see the distribution.Normal Distribution CalculatorNormal probabilities and z-scores for any distribution.Odds CalculatorConvert between odds and probability.Coin FlipperFlip virtual coins and see the heads-tails split.Combinations CalculatorHow many ways to choose r items from n, order ignored.Empirical Rule CalculatorThe 68-95-99.7 ranges around a normal mean.Expected Value CalculatorExpected value from outcomes and their probabilities.Permutations CalculatorHow many ways to arrange r items from n, order counted.Poisson Distribution CalculatorPoisson probabilities for a rate and an interval.Random Name PickerDraw names at random from a list, without repeats.
Sampling & inference
Confidence Interval CalculatorConfidence interval for a mean or a proportion.P-Value CalculatorP-value from a test statistic, for z, t, chi-square or F.Sample Size CalculatorSample size needed for a margin of error.Central Limit Theorem CalculatorSampling distribution mean and standard error.Chi-Square CalculatorChi-square statistic and p-value from observed counts.Critical Value CalculatorCritical values for z, t, chi-square and F tests.Margin of Error CalculatorMargin of error from sample size and confidence level.Relative Risk CalculatorRelative risk and odds ratio from a 2x2 table.Standard Error CalculatorStandard error of the mean from a sample or a proportion.T-Test Calculatort statistic and p-value for one or two samples.
Grades & GPA
GPA CalculatorGPA from course grades and credit hours.Grade CalculatorWeighted course grade from assignment scores.Final Grade CalculatorWhat you need on the final to hit your target grade.College GPA CalculatorCollege GPA on a 4.0 scale from grades and credits.High School GPA CalculatorHigh school GPA, weighted or unweighted.GPA to Letter Grade CalculatorConvert a GPA to its letter grade on the 4.0 scale.Semester Grade CalculatorSemester grade from assignment scores and weights.Test Grade CalculatorTest score as a percentage and a letter grade.
Other categories
Every calculator on CalcMax, grouped by what you are trying to work out.
MathPercentages, fractions, geometry, algebra and number bases.FinanceLoans, mortgages, interest, tax and investment returns.PhysicsMotion, forces, electricity, thermodynamics and optics.Health & FitnessBMI, calories, body fat, heart rate and nutrition targets.Date & TimeAge, date differences, durations, time zones and conversions.ConstructionConcrete, gravel, mulch, paint, tile and square footage.BiologyGenetics, populations, microbiology and animal dosing.SportsPace, splits, running and cycling performance metrics.ChemistryMolarity, dilutions, reactions and stoichiometry.Food & CookingRecipe scaling, baking ratios, cooking conversions.ElectronicsOhm's law, resistors, wire gauge, batteries and signals.AutomotiveFuel cost, gas mileage and trip planning.OtherBra sizing and random password generation.