Question

Geometric Mean and Harmonic Mean

06 Sep 2023
Answer :
Word Count : 382
Criteria Geometric Mean Harmonic Mean
Definition The nth root of the product of n numbers. The reciprocal of the arithmetic mean of the reciprocals of a set of numbers.
Formula GM=(∏i=1nxi)1nGM = \left( \prod_{i=1}^n x_i \right)^{\frac{1}{n}}GM=(∏i=1n​xi​)n1​ HM=n∑i=1n1xiHM = \frac{n}{\sum_{i=1}^n \frac{1}{x_i}}HM=∑i=1n​xi​1​n​
Usage Commonly used to determine the average rate of growth or return over multiple periods. Commonly used to find average rates when dealing with quantities like speed or density, where the quantities are rates or ratios.
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