Statistics Calculators

Standard Deviation Calculator Find the mean, variance and standard deviation of a data set.

Mean, Median, Mode Calculator Find the mean, median, mode and range of a data set.

Variance Calculator Find population and sample variance.

Range Calculator Find the minimum, maximum and range.

Geometric Mean Calculator Find the geometric mean of a set of positive numbers.

Weighted Average Calculator Average values that have different weights.

Z-Score Calculator Find how many standard deviations a value is from the mean.

Coefficient of Variation Calculator Express variability relative to the mean.

5 Number Summary Calculator Find min, Q1, median, Q3 and max of a data set.

Interquartile Range (IQR) Calculator Find Q1, Q3 and the interquartile range.

Outlier Calculator Find the outlier fences using the 1.5×IQR rule.

Midrange Calculator Find the midpoint between the minimum and maximum.

Sum of Squares Calculator Find the total sum of squared deviations from the mean.

Mean Absolute Deviation Calculator Find the average absolute distance from the mean.

Skewness Calculator Find the skewness of a small data set.

Relative Frequency Calculator Find relative frequency from a count and total.

Percentile Rank Calculator Find a value's percentile rank in a data set.

Standard Error Calculator Find the standard error of the mean.

Covariance Calculator Find the covariance between two paired variables.

Correlation Coefficient Calculator Find Pearson's r between two paired variables.

Median Calculator Find the median (middle value) of a data set.

Mode Calculator Find the most frequent value in a data set.

Percentile Calculator Find the value at a given percentile of a data set.

Quartile Calculator Find the quartiles of a data set.

Decile Calculator Find a decile value of a data set.

Population Variance Calculator Find the population variance and standard deviation.

Pooled Standard Deviation Calculator Combine two sample standard deviations into a pooled estimate.

Median Absolute Deviation Calculator Find the median absolute deviation (MAD), a robust spread measure.

Minimum and Maximum Calculator Find the minimum, maximum and range of a data set.

MSE Calculator (Mean Squared Error) Find the mean squared error between predicted and actual values.

Descriptive Statistics Calculator Find the key summary statistics of a data set.

Dispersion Calculator Find measures of spread: range, variance, SD and CV.

Relative Standard Deviation Calculator Find the relative standard deviation (RSD) of a data set.

RSE Calculator (Relative Standard Error) Find the relative standard error of a sample mean.

Grouped Data Standard Deviation Calculator Find the mean and SD of grouped (binned) data.

Cohen's D Calculator Find Cohen's d effect size from two group means and SDs.

Correlation Coefficient Calculator (Matthews) Find the Matthews correlation coefficient (MCC) for a classifier.

Average Rating Calculator Find a weighted average star rating from rating counts.

Constant of Proportionality Calculator Find the constant k in a proportional relationship y = kx.

Error Propagation Calculator Combine measurement uncertainties through a calculation.

Index of Qualitative Variation Calculator Find the IQV for categorical data.

Simpson's Diversity Index Calculator Find Simpson's diversity index for species counts.

Shannon Entropy Calculator Find the Shannon entropy of a probability distribution.

Least to Greatest Calculator Sort numbers from least to greatest.

Greatest to Least Calculator Sort numbers from greatest to least.

Process Capability Index Calculator Find Cp and Cpk for a manufacturing process.

Combination Calculator (nCr) Count how many ways to choose r items from n (order doesn't matter).

Permutation Calculator (nPr) Count ordered arrangements of r items chosen from n.

Probability Calculator Find the probability of an event from favorable and total outcomes.

Dice Average Calculator Find the average, minimum and maximum roll of dice.

Odds Calculator Convert a probability into odds.

Odds to Probability Calculator Convert odds into a probability.

Conditional Probability Calculator Find P(A given B).

Bayes' Theorem Calculator Update a probability with new evidence.

Expected Value Calculator Find the expected value of up to three outcomes.

Coin Flip Probability Calculator Find the chance of exactly k heads in n flips.

Dice Probability Calculator Find the chance of rolling a value at least once.

Lottery Calculator Find the odds of winning a lottery.

Birthday Paradox Calculator Find the chance two people share a birthday.

Joint Probability Calculator Find P(A and B) and P(A or B) for independent events.

Accuracy Calculator Find classification accuracy from a confusion matrix.

Confusion Matrix Calculator Find accuracy, precision, recall and F1 from a confusion matrix.

Sensitivity and Specificity Calculator Find a test's sensitivity and specificity.

Post-Test Probability Calculator Find post-test probability from prevalence, sensitivity and specificity.

Relative Risk Calculator Find relative risk between an exposed and control group.

Risk Calculator Find absolute risk from events and population.

P-Hat Calculator Find the sample proportion (p-hat) and its standard error.

Implied Probability Calculator Convert betting odds to implied probability.

Probability of 3 Events Calculator Combine three independent event probabilities.

AND Probability Calculator Find the probability that two events both occur.

OR Probability Calculator Find the probability that at least one of two events occurs.

Monty Hall Problem Calculator Compare staying versus switching in the Monty Hall problem.

Chebyshev's Theorem Calculator Find the minimum fraction of data within k standard deviations.

Roulette Payout Calculator Find the payout and win chance for a roulette bet.

Password Combination Calculator Find the number of possible passwords and the entropy.

Venn Diagram Calculator Find the regions of a two-set Venn diagram.

Combinations with Repetition Calculator Count combinations when repetition is allowed.

Permutations with Repetition Calculator Count ordered arrangements when repetition is allowed.

Moneyline Odds Calculator Convert American moneyline odds to decimal, fractional and probability.

Normal Distribution Calculator Find the z-score and probability for a normal value.

Z-Score to Percentile Calculator Convert a z-score to a percentile.

Empirical Rule Calculator Find the 68-95-99.7 ranges of a normal distribution.

Binomial Distribution Calculator Find P(exactly k successes) in n trials.

Poisson Distribution Calculator Find P(exactly k events) given an average rate.

Geometric Distribution Calculator Find P(first success on trial k).

Confidence Interval Calculator Find a confidence interval for a mean.

Benford's Law Calculator Find the expected leading-digit frequency under Benford's law.

Beta Distribution Calculator Find the mean, variance and mode of a beta distribution.

Central Limit Theorem Calculator Find the sampling distribution of the mean.

Chi-Square Calculator Find the chi-square goodness-of-fit statistic.

Class Width Calculator Find the class width for a frequency distribution.

Continuity Correction Calculator Apply a ±0.5 continuity correction to a discrete value.

Exponential Distribution Calculator Find probabilities for an exponential distribution.

Uniform Distribution Calculator Find probabilities and stats for a continuous uniform distribution.

Hypergeometric Distribution Calculator Find the probability of k successes when sampling without replacement.

Negative Binomial Distribution Calculator Find the probability of k failures before r successes.

Lognormal Distribution Calculator Find the mean, median and variance of a lognormal distribution.

Rayleigh Distribution Calculator Find the mean, mode and variance of a Rayleigh distribution.

Weibull Distribution Calculator Find the reliability and mean life of a Weibull distribution.

Inverse Normal Distribution Calculator Find the value with a given cumulative probability (inverse CDF).

Normal Probability Calculator for Sampling Distributions Find the probability for a sample mean under the CLT.

Sampling Distribution of the Sample Proportion Calculator Find the mean and standard error of a sample proportion.

Pie Chart Calculator Find the angle and percentage of a pie slice.

Upper Control Limit Calculator Find the control chart limits from the mean and standard deviation.

Box Plot Calculator Find the five-number summary and IQR for a box plot.

Effect Size Calculator Find Cohen's d effect size between two groups.

Linear Regression Calculator Fit a best-fit line through up to four points.

Margin of Error Calculator Find the margin of error for a mean.

Sample Size Calculator Find the sample size for a target margin of error.

T-Statistic Calculator Find the one-sample t-statistic.

Z-Test Calculator Find the one-sample z-statistic.

Coefficient of Determination (R²) Calculator Find R² from the correlation coefficient.

ANOVA Calculator Run a one-way ANOVA on three group summaries.

Critical Value Calculator Find the z critical value for a confidence level.

p-value Calculator Find the p-value from a z test statistic.

t-test Calculator Run a one-sample t-test.

F-statistic Calculator Find the F-statistic comparing two variances.

Degrees of Freedom Calculator Find degrees of freedom for one- or two-sample tests.

Hypothesis Testing Calculator Run a one-sample z-test and get the decision.

Raw Score Calculator Convert a z-score back to a raw score.

Relative Error Calculator Find the relative error of a measurement.

Absolute Uncertainty Calculator Convert a relative uncertainty to an absolute uncertainty.

Residual Calculator Find the residual between an observed and predicted value.

Sampling Error Calculator Find the sampling error for a sample mean.

Point Estimate Calculator Estimate a population proportion using several methods.

Normal Approximation Calculator Approximate a binomial distribution with a normal one.

Bonferroni Correction Calculator Adjust the significance level for multiple comparisons.

Youden Index Calculator Find the Youden J index from sensitivity and specificity.

AB Test Calculator Compare two conversion rates for statistical significance.

McNemar's Test Calculator Test paired nominal data with McNemar's chi-square.

Fisher's Exact Test Calculator Find the two-tailed p-value for a 2x2 table.

Power Analysis Calculator Estimate statistical power for a one-sample test.

Quadratic Regression Calculator Fit a parabola y = ax^2 + bx + c to data points.

Exponential Regression Calculator Fit an exponential model y = a*e^(bx) to data.

Mann-Whitney U Test Calculator Find the Mann-Whitney U statistic for two small samples.