What you provide
What you provide
- Standard deviations from mean, using the same scenario as the other inputs
- The stated equation, unit convention, and modelling assumption must fit your intended use
MATH / DESCRIPTIVE STATISTICS
Chebyshev Minimum Proportion Calculator
Calculate Chebyshev minimum coverage within a chosen number of standard deviations. Inspect the equation, substituted values, result, assumptions, and interpretation in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Calculate Chebyshev minimum coverage within a chosen number of standard deviations. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
coverage >= 100(1-1/k^2)
What you receive
What you receive
- Minimum covered proportion in % from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
The distribution has finite mean and variance; the bound can be conservative and requires k greater than one.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors