What is geometric average?

The geometric mean is the root of the continuous product of each variable. Is the nth root of the product of n variable values. The formula is as follows:

Geometric meaning:

The arithmetic average (a+b)/2 not only reflects the numerical relationship, but also takes the sum of two line segments as a line segment and divides it into two equal segments on average. And √ab is called geometric average, which also reflects the geometric relationship: if a square is made so that its area is equal to a rectangle with length and width of A and B, the side length of the square is the geometric average of A and B..

Extended data:

Characteristics of geometric mean:

1, the geometric average is less affected by extreme values than the arithmetic average, which is more suitable to reflect the overall situation of an array;

2. If the variable value contains negative values, the calculated geometric mean will become negative or imaginary;

3. Geometric average is only applicable to data with equal ratio or approximate equal ratio relationship;

4. The logarithm of the geometric mean is the arithmetic mean of the logarithm of each variable value.

Baidu encyclopedia-geometric average