In mathematics, the harmonic mean is a kind of average, one of the Pythagorean means. It is the most appropriate average for ratios and rates such as speeds, [1][2] and is normally only used for positive …

The harmonic mean is: the reciprocal of the average of the reciprocals. Yes, that is a lot of reciprocals! Reciprocal just means 1value.

Oct 9, 2025 · The Harmonic Mean (HM) is a type of average used primarily when dealing with rates, ratios, or speeds. It is defined as the reciprocal of the arithmetic mean of the reciprocals of the given …

Jun 26, 2025 · The harmonic mean is a type of numerical average used in investing to average multiples like the price-to-earnings ratio. It treats each value in a series equally.

Nov 26, 2024 · The harmonic mean is a type of average used for rates and ratios, ideal for reciprocal relationships in fields like finance, physics, and data science.

Use this harmonic mean calculator to easily calculate the Harmonic mean of a set of numbers. What is a harmonic mean? The harmonic mean (archaic: subcontrary mean) is a specialized average of a set …

By the QM-AM-GM-HM inequality, the harmonic mean is smaller than either the arithmetic mean or geometric mean and is the smallest of the classical (Pythagorean) means.

The Harmonic Mean (HM) is defined as the reciprocal of the average of the reciprocals of the data values.. It is based on all the observations, and it is rigidly defined. Harmonic mean gives less …

Oct 25, 2025 · In essence, the harmonic mean describes balance within rate-based or proportional data, offering a precise and unbiased measure whenever the values being averaged represent …

Nov 14, 2025 · The harmonic mean is the special case of the power mean and is one of the Pythagorean means. In older literature, it is sometimes called the subcontrary mean.