Geometric Mean Worksheet

This worksheet may help you to know about the Geometric Mean. Geometric Mean is a type of mean or average, which indicates the central tendency or typical value of a set of numbers. It is similar to the arithmetic mean, expect that the numbers are multiplied and then the nth root of the resulting product is taken. Geometric Mean is the nth root of product of all the n values. The formula for find the Geometric Mean is
The Geometric mean of a set of data {a₁,a₂,a₃,....a_n} can be derived from the formula
Geometric Mean Formula:


For Example
To find the Geometric Mean of 5,20,40,80
⁴√(5 x 20 x 40 x 80) = 23.784
For one more Example in words
To find the geometric mean of 9, 27 and 66,
The first step is to multiplying the given numbers 9 x 27 x 66 = 16038.
By taking cube root of the result 16038 gives the resulting Geometric Mean 25.2184.
The Cubic Root is taken because of using three numbers, if using two numbers; we had to take the square root for the resulting product. If the set of numbers increases the power of root also increase and vice verse