Probability Distribution Calculator

The probability distribution calculator is designed to determine the mean, standard deviation, and variance of a distribution.

Note: The sum of the probability column must be 1.

Mean (μ):

Standard Deviation (σ):

Variance (σ²):

How to Use the Probability Distribution Calculator?

First, enter the probabilities and values of a distribution. You can input up to 10 outcome values.
Make sure the probabilities must add up to 1.
After entering all the required values, press the 'Calculate' button.
Finally, the tool returns the mean, standard deviation, and variance results associated with the probability distribution.

To find the mean, variance, and standard deviation, use the following formulas:

Mean (μ) = ∑ ( k · P(x) )

Variance (σ²) = ∑ ( k² · P(x) ) - μ²

Standard Deviation (σ) =

√σ²

Where,
k = Outcome Value,
P(x) = Probability of Outcome.