Geometric mean
Geometric Mean
The Geometric Mean (pronunciation: /dʒiːəˈmɛtrɪk miːn/) is a mathematical concept that is often used in various fields, including statistics, finance, biology, and medicine.
Etymology
The term "geometric mean" is derived from the Greek words "geōmetriā" meaning earth measurement and "mēan" meaning middle.
Definition
In mathematics, the geometric mean is a type of mean or average, which indicates the central tendency or typical value of a set of numbers. It is calculated by multiplying all the numbers together, and then taking the nth root of the product, where n is the total number of values.
In the context of medicine, the geometric mean is often used in epidemiology and biostatistics to analyze and interpret data. For example, it can be used to calculate the average rate of growth of a bacteria population, or to determine the average effect of a drug on a group of patients.
Related Terms
- Arithmetic Mean: Another type of mean that is calculated by adding all the numbers together and then dividing by the number of values.
- Harmonic Mean: A type of mean that is calculated by dividing the number of values by the sum of the reciprocals of the values.
- Median: A measure of central tendency that represents the middle value in a set of numbers.
- Mode: The value that appears most frequently in a data set.
- Range: The difference between the highest and lowest values in a data set.
External links
- Medical encyclopedia article on Geometric mean
- Wikipedia's article - Geometric mean
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