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Expected Value Discrete Distribution Calculator

E[X] = Σ xi·P(xi) — mean of a probability distribution.

Calculates the expected value (mean) and variance of a discrete probability distribution from up to six outcome-probability pairs.

Nadia Almasri By Nadia Almasri
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

E[X] = Σ xi×pi; Var(X) = Σ pi×(xi−E[X])²

In depth

Calculates the expected value (mean) and variance of a discrete probability distribution from up to six outcome-probability pairs.