Expected Value Calculator (Free, Step-by-Step)
Use this free expected value calculator to compute E(X) = Σ x·P(x) from a probability distribution. It also reports the variance and standard deviation, with a table and steps.
How to use it
- Enter the outcomes and their probabilities (fractions like 1/6 are fine).
- Make sure the probabilities sum to 1.
- Press Compute.
What it computes
E(X) = Σ x·P(x), the variance Σ(x − E(X))²·P(x), and the standard deviation.
Original price was: $109.99.$54.99Current price is: $54.99.
Related: the Probability Calculator and more free math calculators.
Frequently asked questions
What is expected value?
The long-run average outcome, found by weighting each value by its probability.
Original price was: $109.99.$54.99Current price is: $54.99.
Do probabilities need to sum to 1?
Yes — the calculator checks this and warns if they don’t.
Original price was: $109.99.$54.99Current price is: $54.99.
Can I enter fractions?
Yes, like 1/6; the tool converts them.
Original price was: $27.99.$17.99Current price is: $17.99.
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