Use this calculation to reproduce a defined quantitative method when the observations, units, sampling process, and assumptions match the method shown here.

Values

Required list.

Weights

Required list.

The cited overview of Statistics supplies background for the terminology and domain context used by this tool.^[1]

Calculate an arithmetic mean using nonnegative observation weights. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Weighted mean

Returned number.

• A numerical result does not by itself establish data quality, causation, representativeness, independence, distributional fit, or practical significance.
• Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Inspect the underlying data, visualize its distribution, report uncertainty and sample size, and compare the result with a robust or domain-specific method where appropriate.

• Geometric Mean Calculator

  Calculate the geometric mean of a nonempty list of nonnegative numbers.

• Gini Coefficient Calculator

  Calculate the 0–1 Gini inequality coefficient for nonnegative observations using the sorted-sum formula. An all-zero sample is undefined, not perfectly equal.

• Mean Calculator

  Calculate the arithmetic mean of a finite numeric list.