HARMONIC MEAN Meaning and
Definition
-
The harmonic mean is a statistical measure used for calculating the average value of a set of numbers that are reciprocals of each other. It is calculated by dividing the total count of observations by the sum of the reciprocals of each observation.
To compute the harmonic mean, individual values are inverted (i.e., the reciprocal of each value is taken). These reciprocals are then summed up, and the total count of observations is divided by this sum. The resulting value represents the harmonic mean.
The harmonic mean is particularly useful when dealing with rates, ratios, or quantities that are inversely proportional to each other. It is often employed in financial analysis, physics, engineering, and various scientific disciplines. Additionally, it is beneficial when outliers or extreme values have a disproportionate impact on the mean, as the harmonic mean helps mitigate their influence.
This statistical measure is typically lower than either the arithmetic mean or the geometric mean, especially when dealing with datasets that have values that diverge significantly from each other. Consequently, the harmonic mean helps provide a more accurate representation of the actual average value, considering the reciprocal relationships among the data points.
In summary, the harmonic mean is a statistical measure utilized to determine the average value of a set of numbers that are reciprocals of each other. It is beneficial when dealing with inversely proportional quantities and ensures that outliers have a more balanced impact on the result.
Common Misspellings for HARMONIC MEAN
- garmonic mean
- barmonic mean
- narmonic mean
- jarmonic mean
- uarmonic mean
- yarmonic mean
- hzrmonic mean
- hsrmonic mean
- hwrmonic mean
- hqrmonic mean
- haemonic mean
- hadmonic mean
- hafmonic mean
- hatmonic mean
- ha5monic mean
- ha4monic mean
- harnonic mean
- harkonic mean
- harjonic mean
Etymology of HARMONIC MEAN
The word "harmonic" comes from the Greek word "harmonikos", which means "musical" or "of harmony". It is derived from the word "harmonia", which refers to a pleasing arrangement or concord of sounds. In mathematics, the harmonic mean is a type of average that relates to ratios and proportions. The term "harmonic mean" was first used in English in the 18th century, incorporating the musical connotations of harmony.
Similar spelling words for HARMONIC MEAN
- harmonizable,
- harmoniousness,
- harmonization,
- harmonizer,
- harmonic motion,
- harmoniser,
- harmonized,
- harmonic law,
- harmonical,
- harmonious,
- harmonisation,
- harmonised,
- harmonically.
Infographic
Add the infographic to your website:
