Chebyshev Inequality Bound
Calculator

Inputs

Maximum fraction beyond kσ
0.16

Results

Maximum fraction beyond kσ
0.16
Minimum fraction within kσ
0.84

Statistical results

Maximum fraction beyond kσ0.16
Minimum fraction within kσ0.84

formula-map diagram

Maximum fraction beyond kσ
0.16
Minimum fraction within kσ
0.84

Statistical relationship

Formula

P(|X − μ| ≥ kσ) ≤ 1/k²

= 0.16

Note

This is a simplified model: it applies the displayed standard formula to the summary values you entered and assumes their underlying conditions (independence, normality, correct sampling) hold. It does not analyse a real data set. Check the assumptions before relying on the result.

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