How to use this betting tool
- Enter the requested market values and stake.
- Select the applicable line, method or settlement assumption.
- Choose Calculate and review the result, supporting figures and limitation note.
#106 · Bet Tracking & Performance Tool
Standard Deviation of Returns Calculator
Measure the dispersion of betting returns around their average. Calculations run locally in your browser. deviation.
Calculator
Return observations%
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What this tool calculates
It calculates the mean return, squared deviations from that mean and either population or sample standard deviation.
Population SD = √[Σ(x − mean)² ÷ n]; sample SD uses n − 1.
Three observations are enough to calculate a value but not enough for a reliable long-run risk estimate.
Worked example
For returns of 10%, −5% and 20%, the mean is 8.33% and the population standard deviation is about 10.27%.
| Returns | 10%, −5%, 20% |
|---|---|
| Mean | 8.33% |
| Population SD | 10.27% |
Tips and limitations
- Confirm the odds format and market settlement rules before relying on the result.
- Keep more precision in inputs; rounding is applied only for display.
- This calculator explains arithmetic and does not predict results or recommend a bet.
FAQ
How do I calculate standard deviation of betting returns?
Find the mean return, average the squared deviations, and take the square root.
Should betting returns use sample or population standard deviation?
Use population when the entries are the entire period of interest; use sample when they estimate a larger return process.
What does high betting return standard deviation mean?
It means outcomes are widely dispersed around the average, indicating greater volatility.
Can standard deviation be negative?
No. Squared deviations and their square root produce a non-negative value.
How many bets are needed for reliable volatility?
More observations generally give a more stable estimate; three inputs here are illustrative and should not be treated as conclusive.
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Calculation reference
| Input | User-entered values |
|---|---|
| Method | Population SD = √[Σ(x − mean)² ÷ n]; sample SD uses n − 1. |
| Output | Standard deviation |
| Processing | Browser only |
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