Geometric mean

The geometric mean is a type of average commonly used in mathematics and statistics, especially when dealing with sets of positive numbers. It is calculated by multiplying all the values together and then taking the nth root (where n is the number of values). This measure is particularly useful for understanding growth rates, such as investment returns or population growth, as it accounts for the compounding effect. Unlike the arithmetic mean, the geometric mean minimizes the impact of extremely high or low values, providing a more accurate central tendency for multiplicative processes.