Geometric Mean Formula. The formula to calculate the geometric mean is given below: The Geometric Mean (G.M) of a series containing n observations is the nth root of the product of the values. Consider, if x 1, x 2 …. X n are the observation, then the G.M is defined as:

2024年10月22日 · The geometric mean is the average of a set of products, the calculation of which is commonly used to determine the performance results of an investment or portfolio.

In mathematics, the geometric mean is a mean or average which indicates a central tendency of a finite collection of positive real numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum).

2024年10月1日 · The geometric mean of two numbers is found using the geometric mean formula, GM = √(ab), where a and b are the two numbers. Example: What is the geometric mean of 36 and 4? Solution:

2021年12月2日 · There are two main steps to calculating the geometric mean: Multiply all values together to get their product. Find the n th root of the product (n is the number of values). Before calculating this measure of central tendency, note that: The geometric mean can only be found for positive values.

The Geometric Mean is a special type of average where we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc. Example: What is the Geometric Mean of 2 and 18? In one line: Geometric Mean of 2 and 18 = √ (2 × 18) = 6. It is like the area is the same!

Geometric mean formula, as the name suggests, is used to calculate the geometric mean of a set of numbers. To recall, the geometric mean (or GM) is a type of mean that indicates the central tendency of a set of numbers by using the product of their values. It is defined as the nth root of the product of n numbers.

Consider, if x₁, x₂, ..., xₙ are the observations, for which we aim to calculate the geometric mean. The formula to calculate the geometric mean is given below: GM = √ x₁ · x₂ · ... · xₙ. or. GM = (x₁ · x₂ · ... · xₙ) 1/n. It is also represented as: G.M. = √ ∏ᵢ₌₁ⁿ x ᵢ. Taking logarithm on both sides, log GM = log (x₁ · x₂ · ... · xₙ) 1/n.

The formula for calculating the geometric mean is: where n is the number of numbers in the set and X1...Xn are the numbers from the first to the n-th. An alternative way to write the formula is (X1 x X2 ... x Xn)^1/n . This formula is used in our calculator. A geometric approach to explain the formula is through rectangles and squares.