Weighted average
Combine two values with their relative weights.
Open calculatorFind patterns, summaries and relationships in data.
Browse the statistics category subset →Combine two values with their relative weights.
Open calculatorFind the probability of an event with equally likely outcomes.
Open calculatorCalculate the arithmetic mean of a list of numbers. See the sum, number of observations and division steps.
Open calculatorFind the middle of an ordered ungrouped data set.
Open calculatorMeasure the spread between the smallest and largest values.
Open calculatorCalculate combinations · ncr and see the working behind your result.
Open calculatorCalculate permutations · npr and see the working behind your result.
Open calculatorCalculate binomial probability and see the working behind your result.
Open calculatorCalculate conditional probability and see the working behind your result.
Open calculatorCalculate population variance and see the working behind your result.
Open calculatorCalculate population standard deviation and see the working behind your result.
Open calculatorZ-score: use observed value, population mean, population standard deviation. Review the formula, worked example and calculation steps.
Open calculatorP-value · standard normal z test: use z test statistic, alternative hypothesis. Review the formula, worked example and calculation steps.
Open calculatorConfidence interval · known population deviation: use sample mean, known population standard deviation, sample size. Review the formula, worked example and calculation steps.
Open calculatorSample size · population proportion: use confidence level, margin of error, expected population proportion. Review the formula, worked example and calculation steps.
Open calculatorSample standard deviation: use sample values. Review the formula, worked example and calculation steps.
Open calculatorMean, median, modes & range: use data values. Review the formula, worked example and calculation steps.
Open calculatorMode: use observations. Review the formula, worked example and calculation steps.
Open calculatorStandard error of the mean: use observations. Review the formula, worked example and calculation steps.
Open calculatorPearson correlation: use x observations, y observations. Review the formula, worked example and calculation steps.
Open calculatorLinear regression: use x observations, y observations, x value for prediction. Review the formula, worked example and calculation steps.
Open calculatorCovariance: use x observations, y observations, estimator. Review the formula, worked example and calculation steps.
Open calculatorGeometric mean: use observations. Review the formula, worked example and calculation steps.
Open calculatorHarmonic mean: use observations. Review the formula, worked example and calculation steps.
Open calculatorCoefficient of variation: use observations. Review the formula, worked example and calculation steps.
Open calculatorWeighted mean · data lists: use values, weights. Review the formula, worked example and calculation steps.
Open calculatorPercentile: use observations, percentile. Review the formula, worked example and calculation steps.
Open calculatorInterquartile range: use observations. Review the formula, worked example and calculation steps.
Open calculatorOutlier fences: use observations. Review the formula, worked example and calculation steps.
Open calculatorExpected value: use outcomes, probabilities. Review the formula, worked example and calculation steps.
Open calculatorNormal distribution: use observation, mean, standard deviation. Review the formula, worked example and calculation steps.
Open calculatorp-value · normal & Student t: use test statistic, null distribution, degrees of freedom (t only). Review the formula, worked example and calculation steps.
Open calculatorOne-sample z test: use sample mean, null mean, known population standard deviation. Review the formula, worked example and calculation steps.
Open calculatorPoisson probability: use expected count λ, observed count k. Review the formula, worked example and calculation steps.
Open calculatorExponential distribution: use rate λ, elapsed quantity. Review the formula, worked example and calculation steps.
Open calculatorUniform distribution: use lower bound, upper bound, observation. Review the formula, worked example and calculation steps.
Open calculatorRelative frequency: use count for the category, total observations. Review the formula, worked example and calculation steps.
Open calculatorEvery published calculator runs locally and includes its formula and working. Browse the formula library.