Home / Calculators / Statistics Descriptive statistics calculators Statistics Calculator Statistics Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. Standard Deviation Calculator Standard Deviation Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. Mean Median Mode Range Calculator Mean Median Mode Range Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. Average Calculator Average Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. Probability calculators Probability Calculator Probability Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. Permutation and Combination Calculator Permutation and Combination Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. Number Sequence Calculator Number Sequence Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. Combination Calculator Combination Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. Permutation Calculator Permutation Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. Research calculators Sample Size Calculator Sample Size Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. Confidence Interval Calculator Confidence Interval Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. Z-score Calculator Z-score Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. P-value Calculator P-value Calculator covers the formula, inputs, worked example, result interpretation, and common mistakes for the topic. More Statistics calculators 5 Number Summary Calculator The 5 number summary calculator will give you the five most important statistical parameters of your dataset: minimum, first quartile, median, third quartile, and maximum. AB Test Calculator Determine the statistical significance of your A/B tests effortlessly with our AB test calculator. Reliable, quick results. Start calculating now! Absolute Uncertainty Calculator Find how far the measured value may be from the real one using the absolute uncertainty calculator. Accuracy Calculator The accuracy calculator is a simple tool for calculating accuracy using three simple methods. ANOVA Calculator ANOVA Calculator performs statistical analysis to identify significant differences between group means using one-way and two-way ANOVA. Average Rating Calculator The rating average calculator returns an average rating based on the number of 1-5 ratings. Bayes' Theorem Calculator Bayes' theorem calculator helps calculate conditional probabilities in accordance with Bayes' rule. Benford's Law Calculator Benford's law calculator allows you to verify if your data set follows Benford's distribution of leading digits. Bertrand's Box Paradox Calculator What is the chance of choosing the box containing only gold? Find the answer to Bertrand's box paradox with Omni! Bertrand's Paradox Calculator Bertrand's paradox is an intriguing warning for every scientist: dealing with infinity and randomness can lead to pitfalls! Beta Distribution Calculator Beta distribution calculator can evaluate all things related to this famous family of probability distributions. Binomial Distribution Calculator Use the binomial distribution calculator to calculate the probability of a certain number of successes in a sequence of experiments. Birthday Paradox Calculator The birthday paradox calculator is a tool that enables you to determine the probability that at least two people from a group of a given size will share a birthday. Bonferroni Correction Calculator Our Bonferroni correction calculator helps you adjust p-values to account for multiple comparisons. Box Plot Calculator The box plot calculator is here to show you a graphic analysis of your dataset in the form of a box-and-whisker plot. Boy or Girl Paradox Calculator The boy or girl paradox is an excellent example of why how we ask questions matters! Central Limit Theorem Calculator The central limit theorem calculator allows you to calculate the sample mean and the sample standard deviation for the given population distribution and sample size. Chebyshev's Theorem Calculator The Chebyshev's theorem calculator counts the probability of an event being far from its expected value. Chi-Square Calculator Determine the goodness of fit of your data with the chi-square calculator. Class Width Calculator Calculate the class width of any dataset. Coefficient of Determination Calculator (R-squared) This coefficient of determination calculator finds the R-squared of any bivariate dataset, and provides an interpretation as well! Coefficient of Variation Calculator The coefficient of variation calculator is a convenient way to describe the standard deviation as a percentage of the mean. Cohen's D Calculator Our Cohen's D calculator can help you measure the standardized effect size between two data sets. Coin Flip Probability Calculator Coin flip probability calculator lets you calculate the likelihood of obtaining a set number of heads when flipping a coin multiple times. Coin Toss Streak Calculator With this coin toss streak calculator, you will discover a very interesting problem in probability related to consecutive heads appearing in coin flips. Conditional Probability Calculator Use the conditional probability calculator to determine the probability of an event conditional on another event. Confusion Matrix Calculator Our confusion matrix calculator helps you to calculate all the metrics you need to assess the performance of your machine learning model. Constant of Proportionality Calculator Our constant of proportionality calculator can help you to calculate the ratio that relates two dependable given values. Continuity Correction Calculator The continuity correction calculator shows you how to apply continuity correction to approximate a binomial distribution of a given problem. Correlation Coefficient Calculator Correlation coefficient calculator quickly finds the values of several different correlation coefficients. If you wish, it will show you the intermediate steps of the calculations as well! Correlation Coefficient Calculator (Matthews) The correlation coefficient calculator helps you determine the statistical significance of your data with the Matthews correlation formula. Covariance Calculator Covariance calculator gives you the sample covariance for two equally sized samples, as well as an estimate of population covariance. Critical Value Calculator The critical value calculator helps you find the one- and two-tailed critical values for the most widespread statistical tests. Cubic Regression Calculator This cubic regression calculator will help you determine the polynomial of degree 3 that best fits your two-dimensional dataset. Decile Calculator Using the decile calculator, you can divide your data into deciles in order to interpret them. Degrees of Freedom Calculator The degrees of freedom calculator finds the number of independent values in a data sample. Descriptive Statistics Calculator The descriptive statistics calculator will thoroughly analyze your data set using more than 20 different descriptive statistics spread over various subcategories of statistical measurements, such as central tendency and dispersion. Dice Average Calculator With this dice average calculator, you can quickly calculate the average value of a set of dice rolls. Dice Probability Calculator With this dice probability calculator, you can easily find the various probabilities related to rolling a set of dice. Dispersion Calculator The dispersion calculator is a handy tool that calculates the spread of data using multiple measures like range, interquartile range, variance, and standard deviation. Dot Plot Calculator Make your own dot plots with this dot plot calculator! Effect Size Calculator The effect size calculator computes Cohen’s d, the correlation coefficient, and the variance between two groups, with interpretations and worked examples. Empirical Rule Calculator The empirical rule calculator allows you to find the three intervals within which you'll find 68, 95, and 99.7% of your data. Error Propagation Calculator This error propagation calculator helps propagate the primary parameter(s)' error to the final parameter. Expected Value Calculator Unlock the power of statistics with our expected value formula calculator. Learn how to calculate the expected value swiftly. Try it today! Exponential Distribution Calculator The exponential distribution calculator finds out the probability of a certain amount of time elapsing between two events. Exponential Growth Prediction Calculator The exponential growth prediction calculator estimates a future value based on past performance. Exponential Regression Calculator The exponential regression calculator helps you find the exponential curve that best models your dataset. F-statistic calculator Use the F-statistic calculator to compare the variances of two given populations. False Positive Paradox Calculator Discover why "accurate" tests can be misleading with this false positive paradox calculator. Fisher's Exact Test Calculator The Fisher's exact test calculator performs a one-tailed and two-tailed Fisher's test on any given 2 x 2 contingency table. Frequency Distribution Calculator The frequency distribution calculator generates the cumulative frequency distribution table and a bar graph representing the frequency distribution for the given set of numbers. Frequency Polygon Calculator The frequency polygon calculator will help you create a frequency polygon for the given set of data points. Geometric Distribution Calculator Our geometric distribution calculator will help you determine the probability of a certain number of trials needed for success. Grouped Data Standard Deviation Calculator Use the grouped data standard deviation calculator to find the mean, variance, and standard deviation of given data ranges. Histogram Calculator The histogram calculator is a histogram maker and a lesson on histograms, all in one. Let's explore what is a histogram, some examples, and the differences between a histogram vs a bar chart. Hypergeometric Distribution Calculator Use the hypergeometric distribution calculator to find the probability (or cumulative probability) associated with the hypergeometric distribution. Hypothesis Testing Calculator Hypothesis testing calculator is here to help you quickly check your hypothesis and get p-values and critical values in seconds. Implied Probability Calculator Our implied probability calculator helps you to calculate the probability of an incident happening, given the odds. Index of Qualitative Variation Calculator Calculate the index of qualitative variation easily with our tool, employing the IQV formula for accurate and fast analysis. Inverse Normal Distribution Calculator The inverse normal distribution calculator finds the x-value and Z-score if you input the area, mean, and standard deviation of the normal distribution. IQR Calculator — Interquartile Range The IQR calculator allows you to find the interquartile range of up to 50 values. Joint Probability Calculator Our joint probability calculator helps you compute the likelihood of multiple events occurring together. Least to Greatest Calculator The least to greatest calculator is here to put your numbers in ascending order, even if instead of specific values, you give it arithmetic expressions. Linear Regression Calculator The linear regression calculator determines the coefficients of linear regression model for any set of data points. Lognormal Distribution Calculator Our lognormal distribution calculator helps you solve problems regarding probabilities, quantiles, samples, etc. from the lognormal distribution. Lottery Calculator The lottery calculator finds the odds for winning in a typical lottery. Mann-Whitney U Test Calculator The Mann-Whitney U test calculator performs this popular statistical test using the beloved U statistic. Margin of Error Calculator Calculate precise margins of error with our easy-to-use calculator. Get accurate results using the margin of error formula. Try it now! McNemar's Test Calculator Our McNemar's test calculator can perform several different versions of this popular statistical test for paired binomial data, including the exact binomial test! Mean Absolute Deviation Calculator The mean absolute deviation calculator can calculate the mean absolute deviation around the mean, median, or any other statistically significant number. Mean Median Mode Calculator The mean median mode calculator tells you the mean, median, mode, range, and midrange of a dataset. We also show you all the steps! Median Absolute Deviation Calculator The median absolute deviation calculator can calculate the median absolute deviation of a data set of up to 50 points. Midrange Calculator The midrange calculator will quickly calculate the midrange of a given set of data. Minimum and Maximum Calculator The minimum and maximum calculator will quickly give you the smallest and largest values in your dataset of up to fifty entries. Monty Hall Problem Calculator The Monty Hall Problem calculator can help you win a car 66% of the time — but only if you play the game! MSE Calculator — Mean Squared Error The MSE calculator can quickly find the mean squared error of your sample and provide you with intermediate calculations. SSE and RMSE are available as well! Negative Binomial Distribution Calculator The negative binomial distribution calculator calculates what is the probability according to the Pascal distribution. Normal Approximation Calculator Use the normal approximation calculator to approximate the probability for a binomial event with a normal distribution. Normal Distribution Calculator Effortlessly calculate probabilities with our bell curve calculator, a perfect tool for any probability distribution analysis. Try it today! Normal Probability Calculator for Sampling Distributions The normal probability calculator for sampling distributions gives you the probability of finding a range of sample mean values. Odds Calculator Use the odds calculator to convert odds to a probability of winning or losing. Outlier Calculator The outlier calculator is here to analyze your dataset of up to thirty entries and tell you if any of them are outliers, i.e., differ a lot from the others. P-Hat Calculator Use this p-hat calculator to determine the sample proportion according to the number of occurrences of an event and the sample size. Parrondo's Paradox Calculator Learn how two losing games can make a winning game by alternating between them in this Parrondo's paradox calculator. Password Combination Calculator Use Omni's password combinations calculator to find how many possible combinations of numbers, letters, and symbols exist, given the length of a password. Pearson Correlation Calculator Use this Pearson correlation calculator to find Pearson's r of any given dataset, as well as a general oversight on what Pearson's correlation is all about. Percentile Calculator The percentile calculator is here to help you get the k-th percentile of a data set of up to 30 numbers. Percentile Rank Calculator This percentile rank calculator finds the percentile for any data value in a dataset that contains up to 30 numbers. Pie Chart Calculator Using this pie chart calculator, you can compare values in different groups visually using a pie chart. Point Estimate Calculator Point estimate calculator computes the "best guess" of an unknown population parameter. Poisson Distribution Calculator The Poisson distribution calculator is a tool for determining the probability of a certain number of independent events happening in a given time. Polynomial Regression Calculator The polynomial regression calculator can help you find a polynomial curve that best fits your data set. Pooled Standard Deviation Calculator Our pooled standard deviation calculator can help you measure the variability or spread of data when combining or pooling multiple datasets. Population Variance Calculator Use the population variance calculator to estimate the variance of a given population from its sample. Post-Test Probability Calculator The post-test probability calculator allows you to calculate pre-test probability, likelihood ratios, and finally, the post-test probability itself. Power Analysis Calculator Use our power analysis calculator to determine the minimum number of subjects for adequate study power. Probability of 3 Events Calculator The probability of 3 events calculator determines the chances of three independent events occurring. Process Capability Index Calculator Our process capability index calculator helps you calculate whether the variation of your process is within specification limits and whether your process can produce the intended output. Quadratic Regression Calculator Quadratic regression calculator determines the parabola that best fits any given set of points. Quartile Calculator The quartile calculator is a simple tool to help you find the quartiles of your dataset (and some additional extra information). Raw Score Calculator The raw score calculator will help you to determine the original data point from the mean value, standard deviation, and z-score. Rayleigh Distribution Calculator Our Rayleigh distribution calculator helps you generate samples from the Rayleigh distribution, or determine probabilities, cdf, pdf, quantiles, and common measures in this distribution. Relative Error Calculator Find out what is the relative error and absolute error, and discover the difference between the two, with our relative error calculator! Relative Frequency Calculator Our relative frequency calculator can help you find the experimental probability for ungrouped and grouped data, as well as cumulative relative frequency. Relative Risk Calculator Use the relative risk calculator to compare the probability of developing a disease in two groups of people. Relative Standard Deviation Calculator The relative standard deviation calculator presents the standard deviation as a percentage of the mean. Residual Calculator The residual calculator helps you to calculate the residuals of a linear regression analysis. Risk Calculator Risk calculator checks which of the two options is less risky based on the probability of failure and its consequences. Roulette Payout Calculator Find your bet's odds and potential winnings with the roulette payout calculator! RSE Calculator — Relative Standard Error Our RSE calculator assists you in measuring estimate precision by calculating the ratio of the standard error to the mean. Sampling Distribution of the Sample Proportion Calculator Use our sampling distribution of the sample proportion calculator to find the probability that your sample proportion falls within a range. Sampling Error Calculator Use this tool to calculate the sampling error incurred when inferring from a population. Sensitivity and Specificity Calculator Our sensitivity and specificity calculator is a simple way to calculate all the values needed in medical statistics. Shannon Entropy Calculator Check out this Shannon entropy calculator to find out how to calculate entropy in information theory. Simpson’s Diversity Index Calculator Efficiently calculate diversity index and understand the Gini index formula with our Simpson's diversity index calculator. Try it today! Skewness Calculator This skewness calculator finds both the skewness and kurtosis of a dataset and interprets these values, telling you how skewed or peaked your distribution is. SMp(x) Distribution Calculator SMp(x) distribution calculator can generate a six-parameter probability function, which can simulate virtually every known probability distribution. Spearman's Correlation Calculator Spearman's correlation calculator can help you determine the value of this popular measure of rank association between two variables. Standard Deviation Index Calculator Here you can find the standard deviation index calculator and its possible uses for your test model. Standard Deviation of Sample Mean Calculator Use this tool to calculate the standard deviation of the sample mean, given the population standard deviation and the sample size. Standard Error Calculator Use this standard error calculator whenever you need to find the standard error of the mean of any dataset with up to 30 numbers. Stem and Leaf Plot Calculator Convert any given set of integers to a stemplot using this stem-and-leaf plot calculator! Sum of Squares Calculator Use this sum of squares calculator to determine the variability of your data. t-statistic Calculator Use the T statistic calculator to estimate the t-value of a given dataset. t-test Calculator t-test calculator performs all kinds of t-tests: one-sample, two-sample, and paired. Two Envelopes Paradox Calculator The two envelopes paradox calculator helps you determine whether swapping envelopes will make you obtain the envelope with a larger amount of money. Uniform Distribution Calculator The uniform distribution calculator can perform all sorts of computations related to this popular probability distribution. Comes with free sample generator! Upper and Lower Fence Calculator The upper and lower fence calculator determines the cutoff points for outliers in a dataset with up to 50 values. Upper Control Limit Calculator The upper control limit calculator helps you determine the lower and upper control limit values of your dataset. Variance Calculator The variance calculator finds the variance of a set of numbers. It is a measure of how tightly clustered the data is around the mean. Venn Diagram Calculator Discover the ultimate Venn diagram solver with our intuitive calculator. Effortlessly visualize complex data intersections and unions. Try it today! Weibull Distribution Calculator Use this Weibull distribution calculator if you need find probabilities, quantiles, etc. in the Weibull distribution, or generate samples from this distribution. Wilcoxon Rank-Sum Test Calculator The Wilcoxon rank-sum test calculator allows you to perform the famous non-parametric test based on the ranks of observations. Both exact and approximated versions are available, along with corrections for ties and continuity! Youden Index Calculator Our Youden index calculator determines a test's effectiveness by measuring its ability to distinguish between true positives and true negatives. Z-test Calculator Our Z-test calculator is here to help you learn about, and perform, a one-sample Z-test.