Weighted Average Calculator

The method

arithmetic, geometric, harmonic and quadratic means

The means always come in this order

For any set of positive numbers that are not all equal:

harmonic ≤ geometric ≤ arithmetic ≤ quadratic

They coincide only when every value is identical. Which one to use depends on what is being averaged: arithmetic for quantities that add, geometric for growth rates and ratios that multiply, harmonic for rates over a fixed distance such as average speed, and RMS for magnitudes where sign should not cancel, as in AC voltage.