Statistics & probability

Discrete expected value

Calculate an outcome distribution’s mean, variance and standard deviation.

Discrete expected value
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Use the example headings. UTF-8 CSV/TSV files stay on this device; maximum 25 MB.

Up to 25 MB per file, 50,000 data rows, 200 columns and 2 million data cells. Fully blank rows and columns are ignored before row, column and cell limits are checked. Individual tools may have smaller result or chart limits.

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A clear answer. Here’s how.

Requires 1–1,000 finite numeric outcomes and non-negative probabilities summing to 1 within a tolerance of 1e−9. Normalises accepted rounding differences, then computes E[X], E[X²] via centred deviations and standard deviation. Duplicate outcome values are allowed; this calculator does not estimate probabilities.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

CSV: Outcome,Probability
Outcome,Probability
-10,0.5
0,0.3
30,0.2

Example result

Expected value
1
Variance
229
Standard deviation
15.1327459504
Outcomes
3

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