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Calculators :: Statistics Calculators :: Probability Distributions

Enter a probability distribution table and this calculator will find the mean, standard deviation and variance. The calculator will generate a step by step explanation along with the graphic representation of the data sets and regression line.

Probability Distributions Calculator

Enter the numbers separated by comma(,) , colon(:), semicolon(;) or blank space.You can enter either integers (10), decimal numbers(10.12) or FRACTIONS(10/3).
To see examples on how to use this calculator you can click "generate example" button, or use examples below the form.

Use data grit to input x and y values
Find the Mean (expectation) of a distribution
Find the Standard Deviation of a distribution
Find the Variance of a distribution
Show me an explanation

How to use this calculator

Example 1:

A company tested a new product and found that the number of errors per 100 products had the following probability distribution:

$$ \begin{array}{c|ccccc} number~of~errors (X) & ~2~ & ~3~ & ~4~ & ~5~ & ~6 \\ P(X) & ~0.02~ & ~0.25~ & ~0.4~ & ~0.3~ & ~0.03 \end{array} $$

Find the Variance of the number of errors per 100 products.

Set up the form

Example 2:

The discrete probability distribution of X is given by:

$$ \begin{array}{c|ccccc} X & ~0~ & ~2~ & ~5~ & ~7/3~ & ~5 \\ P(x) & ~0.1~ & ~0.2~ & ~1/3~ & ~1/6~ & ~0.3 \end{array} $$

Find the mean of the distribution.

Set up the form

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