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.

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.

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 is a numerical mean and is a measure of central tendency. It is useful in calculating the average of rates and ratios. Understand harmonic mean along with its formula and solved …

Dec 22, 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.

Nov 7, 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 …

In this article, you will learn one of the important types of mean called “Harmonic Mean” with the definition, formula, and examples in detail. Table of Contents:

Learn the harmonic mean in mathematics—definition, formula, solved examples, and when to use it for rates, speed, and ratios. Perfect for CBSE, ICSE, and competitive exams.

Nov 26, 2024 · What is the Harmonic Mean? The harmonic mean is a type of average that's particularly useful when working with rates or ratios.