geometric mean
[dʒi.əˈmɛt.rɪk min]
nounpl: geometric means
média geométrica
1. A type of average calculated by taking the nth root of the product of n numbers, used especially when dealing with percentages or rates of change
The geometric mean of 2, 8, and 4 is calculated as the cube root of (2 × 8 × 4) = cube root of 64 = 4
A média geométrica de 2, 8 e 4 é calculada como a raiz cúbica de (2 × 8 × 4) = raiz cúbica de 64 = 4
2. In finance and statistics, a measure of central tendency that is more appropriate than arithmetic mean when dealing with multiplicative processes or skewed data
Investment returns over multiple years are better compared using the geometric mean rather than the arithmetic mean
Os retornos de investimento ao longo de vários anos são melhor comparados usando a média geométrica em vez da média aritmética
The geometric mean is a fundamental concept in both Brazilian and American mathematics curricula, particularly in statistics, finance, and engineering fields. In Brazil, it is commonly taught in secondary schools (ensino médio) and is extensively used in financial institutions for calculating investment performance and growth rates. In the USA, it appears prominently in advanced mathematics and business courses. The term is considered technical jargon in both cultures and is essential for professionals in finance, data science, and engineering.
Related Idioms & Phrases
calculate the geometric mean
apply the geometric mean formula
use geometric mean for growth rates
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