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Statistics & Probability
Browse 49 working calculators for statistics & probability. Every tool shows a live result, its calculation steps, and the sources behind the method.
Statistics
49 calculators
Bet CalculatorConverts between American, decimal, fractional and implied-probability odds, works out payouts and parlay returns, strips the bookmaker margin to give no-vig fair prices, finds arbitrage stakes across books, sizes a bet by the Kelly criterion and computes hedge stakes and martingale sequences.Stat CalculatorComputes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles, the five-number summary, Tukey outlier fences, mean and median absolute deviation, coefficient of variation, skewness and excess kurtosis.Parlay Bet CalculatorConverts between American, decimal, fractional and implied-probability odds, works out payouts and parlay returns, strips the bookmaker margin to give no-vig fair prices, finds arbitrage stakes across books, sizes a bet by the Kelly criterion and computes hedge stakes and martingale sequences.SD CalculatorComputes sample and population standard deviation and variance from a data set or a frequency table, showing every deviation and squared deviation.Weighted Average Grades CalculatorComputes the weighted arithmetic mean of a list of values and their weights, showing each item’s share of the total weight and its contribution to the result.Bet Winning CalculatorConverts between American, decimal, fractional and implied-probability odds, works out payouts and parlay returns, strips the bookmaker margin to give no-vig fair prices, finds arbitrage stakes across books, sizes a bet by the Kelly criterion and computes hedge stakes and martingale sequences.Median CalculatorComputes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles, the five-number summary, Tukey outlier fences, mean and median absolute deviation, coefficient of variation, skewness and excess kurtosis.Survey Platforms CalculatorComputes the sample size needed for a survey proportion, a mean, a comparison of two proportions or two means, a paired study, a correlation, a noninferiority or equivalence trial, a log-rank survival study, a diagnostic-accuracy study or a cluster-randomised trial, and works backwards to the margin of error or the power of a sample you already have.Weighting CalculatorComputes the weighted arithmetic mean of a list of values and their weights, showing each item’s share of the total weight and its contribution to the result.Compute Probability CalculatorComputes the probability of single and combined events: the complement, the union and intersection of two events, neither and exactly one, conditional probability and Bayes' theorem, the chance of at least one occurrence over repeated trials, and the mean and variance of a discrete distribution.Standard Score CalculatorConverts between a raw score and a standard score z = (x - μ) / σ, computes the mean and standard deviation from a data set when they are not known, gives the percentile and tail areas under the normal curve, and computes the one-sample z statistic with its p-value.Odds Poker CalculatorExact poker probabilities: the frequency of every five-card hand from a 52-card deck, the chance of completing a draw from a number of outs, the pot odds and equity a call requires, and the expected return of a video-poker pay table.Percentile CalculatorComputes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles, the five-number summary, Tukey outlier fences, mean and median absolute deviation, coefficient of variation, skewness and excess kurtosis.Surveys CalculatorComputes the sample size needed for a survey proportion, a mean, a comparison of two proportions or two means, a paired study, a correlation, a noninferiority or equivalence trial, a log-rank survival study, a diagnostic-accuracy study or a cluster-randomised trial, and works backwards to the margin of error or the power of a sample you already have.Coefficient CalculatorComputes Pearson's r, Spearman's rank correlation rho, Kendall's tau-b and cosine similarity for two paired data sets, with covariance, the coefficient of determination, a t test of significance and a Fisher z confidence interval for the population correlation.Correlation Test CalculatorComputes Pearson's r, Spearman's rank correlation rho, Kendall's tau-b and cosine similarity for two paired data sets, with covariance, the coefficient of determination, a t test of significance and a Fisher z confidence interval for the population correlation.Determine Sample Size CalculatorComputes the sample size needed for a survey proportion, a mean, a comparison of two proportions or two means, a paired study, a correlation, a noninferiority or equivalence trial, a log-rank survival study, a diagnostic-accuracy study or a cluster-randomised trial, and works backwards to the margin of error or the power of a sample you already have.Hedge CalculatorConverts between American, decimal, fractional and implied-probability odds, works out payouts and parlay returns, strips the bookmaker margin to give no-vig fair prices, finds arbitrage stakes across books, sizes a bet by the Kelly criterion and computes hedge stakes and martingale sequences.Max CalculatorComputes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles, the five-number summary, Tukey outlier fences, mean and median absolute deviation, coefficient of variation, skewness and excess kurtosis.Normal Dist CalculatorEvaluates the normal (Gaussian) distribution: the density f(x), the cumulative probabilities to the left, to the right and between two values, the inverse CDF, z scores, the 68-95-99.7 empirical-rule bands and two-sided critical values for any mean and standard deviation.Pearson Coefficient CalculatorComputes Pearson's r, Spearman's rank correlation rho, Kendall's tau-b and cosine similarity for two paired data sets, with covariance, the coefficient of determination, a t test of significance and a Fisher z confidence interval for the population correlation.Absolute Deviation CalculatorComputes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles, the five-number summary, Tukey outlier fences, mean and median absolute deviation, coefficient of variation, skewness and excess kurtosis.Average Absolute Deviation CalculatorThe mean absolute deviation of a data set: the average of the absolute distances of each value from the mean, divided by n (there is no n-1 correction, because this is a descriptive average rather than an estimator). It also reports the deviations themselves, the mean absolute deviation about the median, and the median absolute deviation, which is the different statistic that shares the acronym.Binary Distribution CalculatorComputes binomial probabilities — exactly k, at most k, at least k or a range of successes in n independent trials — with the distribution’s mean, variance and standard deviation.Binomial PDF CalculatorComputes binomial probabilities — exactly k, at most k, at least k or a range of successes in n independent trials — with the distribution’s mean, variance and standard deviation.Binomial Pmf CalculatorComputes binomial probabilities — exactly k, at most k, at least k or a range of successes in n independent trials — with the distribution’s mean, variance and standard deviation.Find Variance CalculatorComputes sample and population standard deviation and variance from a data set or a frequency table, showing every deviation and squared deviation.Line Regression Equation CalculatorFits a least-squares model to paired data and reports the equation, slope, intercept, correlation, R squared, adjusted R squared, standard errors, t and F tests, the ANOVA sums of squares, residuals and a prediction at any chosen x. Handles simple, multiple, weighted, exponential, power, logarithmic and binary logistic fits.Median Absolute Deviation CalculatorComputes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles, the five-number summary, Tukey outlier fences, mean and median absolute deviation, coefficient of variation, skewness and excess kurtosis.Mode Median Mean CalculatorComputes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles, the five-number summary, Tukey outlier fences, mean and median absolute deviation, coefficient of variation, skewness and excess kurtosis.No Vig CalculatorConverts between American, decimal, fractional and implied-probability odds, works out payouts and parlay returns, strips the bookmaker margin to give no-vig fair prices, finds arbitrage stakes across books, sizes a bet by the Kelly criterion and computes hedge stakes and martingale sequences.Norm CDF CalculatorEvaluates the normal (Gaussian) distribution: the density f(x), the cumulative probabilities to the left, to the right and between two values, the inverse CDF, z scores, the 68-95-99.7 empirical-rule bands and two-sided critical values for any mean and standard deviation.Arbitrage CalculatorConverts between American, decimal, fractional and implied-probability odds, works out payouts and parlay returns, strips the bookmaker margin to give no-vig fair prices, finds arbitrage stakes across books, sizes a bet by the Kelly criterion and computes hedge stakes and martingale sequences.Bet Sports CalculatorConverts between American, decimal, fractional and implied-probability odds, works out payouts and parlay returns, strips the bookmaker margin to give no-vig fair prices, finds arbitrage stakes across books, sizes a bet by the Kelly criterion and computes hedge stakes and martingale sequences.Work Sampling CalculatorComputes the sample size needed for a survey proportion, a mean, a comparison of two proportions or two means, a paired study, a correlation, a noninferiority or equivalence trial, a log-rank survival study, a diagnostic-accuracy study or a cluster-randomised trial, and works backwards to the margin of error or the power of a sample you already have.AP Statistics CalculatorComputes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles, the five-number summary, Tukey outlier fences, mean and median absolute deviation, coefficient of variation, skewness and excess kurtosis.Ci Interval CalculatorComputes a confidence interval for a population mean (Student t when sigma is unknown, z when it is known) or for a proportion (Wald or Wilson score), with the critical value, standard error, margin of error and an optional finite-population correction, plus the Bayesian credible interval from a Beta posterior.Linearized Equation CalculatorFits a least-squares model to paired data and reports the equation, slope, intercept, correlation, R squared, adjusted R squared, standard errors, t and F tests, the ANOVA sums of squares, residuals and a prediction at any chosen x. Handles simple, multiple, weighted, exponential, power, logarithmic and binary logistic fits.Poker Hand CalculatorExact poker probabilities: the frequency of every five-card hand from a 52-card deck, the chance of completing a draw from a number of outs, the pot odds and equity a call requires, and the expected return of a video-poker pay table.Range CalculatorComputes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles, the five-number summary, Tukey outlier fences, mean and median absolute deviation, coefficient of variation, skewness and excess kurtosis.Quartile CalculatorComputes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles, the five-number summary, Tukey outlier fences, mean and median absolute deviation, coefficient of variation, skewness and excess kurtosis.If Bet 100 How Much Do Win CalculatorConverts between American, decimal, fractional and implied-probability odds, works out payouts and parlay returns, strips the bookmaker margin to give no-vig fair prices, finds arbitrage stakes across books, sizes a bet by the Kelly criterion and computes hedge stakes and martingale sequences.Normalcdf CalculatorEvaluates the normal (Gaussian) distribution: the density f(x), the cumulative probabilities to the left, to the right and between two values, the inverse CDF, z scores, the 68-95-99.7 empirical-rule bands and two-sided critical values for any mean and standard deviation.Kelly Criterion CalculatorConverts between American, decimal, fractional and implied-probability odds, works out payouts and parlay returns, strips the bookmaker margin to give no-vig fair prices, finds arbitrage stakes across books, sizes a bet by the Kelly criterion and computes hedge stakes and martingale sequences.Least Squares Regression Line CalculatorFits a least-squares model to paired data and reports the equation, slope, intercept, correlation, R squared, adjusted R squared, standard errors, t and F tests, the ANOVA sums of squares, residuals and a prediction at any chosen x. Handles simple, multiple, weighted, exponential, power, logarithmic and binary logistic fits.CDF PDF CalculatorEvaluates the normal (Gaussian) distribution: the density f(x), the cumulative probabilities to the left, to the right and between two values, the inverse CDF, z scores, the 68-95-99.7 empirical-rule bands and two-sided critical values for any mean and standard deviation.Percentile Rank CalculatorFinds the percentile rank of a value within a data set under the standard mid-rank, strictly-below or cumulative conventions, and works the other direction to give the value at a chosen percentile.Extreme Temperature Percentile CalculatorFinds the percentile rank of a value within a data set under the standard mid-rank, strictly-below or cumulative conventions, and works the other direction to give the value at a chosen percentile.Streamflow Percentile CalculatorFinds the percentile rank of a value within a data set under the standard mid-rank, strictly-below or cumulative conventions, and works the other direction to give the value at a chosen percentile.