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Chebyshev bound for probability

Bound di share of a distribution wey dey within k standard deviations.

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Calculations dey happen locally. Results na estimates, no be professional advice.

At least dis share dey within k standard deviations

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Mean and variance must dey finite. Na general bound, no be exact probability for one particular distribution.

Formula

P(|X−μ|<kσ)≥1−1/k²

Bound di share of a distribution wey dey within k standard deviations.

Example wey show the calculation

Standard-deviation multiplier k
2
At least dis share dey within k standard deviations
75 %
At most dis share dey outside di interval
25 %

Where e fit work and limits

Mean and variance must dey finite. Na general bound, no be exact probability for one particular distribution.

We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.

Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.

Version of di formula: b8b3271de52a · Example don get check:

Method

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