Statistics & Probability

Expected Value

Mean of a discrete distribution.

Formula

Formula
E[X] = Σ xi pi

Variables

SymbolDefinitionType & rangeUnitsRole
xᵢ outcomes list of real numbers input
pᵢ probabilities list of real numbers input

Try it yourself

Interactive calculator
comma or space separated numbers
comma or space separated numbers
Result

Worked examples

Example 1
Givenvalues = 1, 2, 3, 4, 5, 6, probabilities = 0.166667, 0.166667, 0.166667, 0.166667, 0.166667, 0.166667
Result3.500007
Example 2
Givenvalues = 0, 1, probabilities = 0.5, 0.5
Result0.5