Statistics Calculator

Find the mean, median, mode, range, quartiles and standard deviation of a data set, with each calculation shown. Try “standard deviation of 4, 8, 15, 16, 23, 42”.

Try an example:

How the Statistics Calculator works

  1. Sort the data and count n.
  2. Find the mean and each deviation from it, then square them.
  3. Divide the sum of squares by n (population) or n − 1 (sample) and take the root.

Frequently asked questions

What is the difference between population and sample standard deviation?

Population uses n in the denominator. Sample uses n − 1 to correct for estimating the mean from the same data.

How do I find the median?

Sort the data. It is the middle value, or the mean of the two middle values if n is even.

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Probability CalculatorSimple, compound, conditional and independent events. Permutations & CombinationsCounting arrangements and selections, factorials. Binomial ProbabilityProbability of k successes in n trials. Normal Distribution & Z-scoreZ-scores, percentiles and areas under the bell curve. Linear Regression & CorrelationLine of best fit, r value and predictions.

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MathMate can make mistakes. Please double-check important steps and calculations.