Geometric Average(Mean) Calculator

Mean is the average value of set of numbers. Usually the term mean is referred arithmetic mean but there are different types of mean are there in math. Different types of mean are arithmetic mean, arithmetic harmonic mean, geometric mean, geometric harmonic mean.

Formula:

Geometric mean = root(n)(a_1*a_2*a_3...a_n)

Where 'n' is the total number of elements in set. In this lesson we will learn about how to calculate the geometric mean.

Please express your views of this topic Antiderivative Calculator by commenting on blog.

Geometric Average Calculator - Example Problems

Geometric mean(average) calculator

Steps to find the geometric mean using calculator are:

Step 1: Enter all the numbers separated by comma ","

Step 2: Click the button 'calculate'

Step 3: Total numbers and result will display on the below text boxes

Example 1: Calculate the geometric mean of following ages of 10 boys; 32, 45, 62, 70, 90, 24, 37, 41, 51, 60.

Solution:

Formula: Geometric mean =root(n)(a_1*a_2*a_3...a_n)

Here, n = 10, a1 = 32, a2 = 45...a10 = 60

Geometric Mean Calculator

= root(10)(32 * 45 * 62 * 70 * 90 * 24 * 37 * 41 * 51 * 60) = 47.83

Therefore geometric mean of ages of 10 persons is 47.83.

Example 2: Calculate the geometric mean of following marks of 10 girls; 21, 39, 47, 52, 69, 47, 90, 85, 69, 40.

Solution:

Formula: Geometric mean =root(n)(a_1*a_2*a_3...a_n)

Here, n = 10, a1 = 21, a2 = 39...a10 = 40

= root(10)(21 * 39 * 47 * 52 * 69 * 47 * 90 * 85 * 69 * 40) = 51.72

Therefore geometric mean of 10 student's marks is 51.72.

Example 3: Find the geometric mean of following heights of eight persons; 122, 123, 157, 149, 173, 119, 137, 182.

Solution:

Formula: Geometric mean =root(n)(a_1*a_2*a_3...a_n)

Here, n = 8, a1 = 122, a2 = 123...a8 = 182

= root(8)(122 * 123 * 157 * 149 * 173 * 119 * 137 * 182) = 143.53

Therefore geometric mean of 8 student's height is 143.53.

Example 4: Calculate the geometric mean of following marks of 9 members; 41, 78, 49, 76, 85, 44, 94, 21, 48.

Solution:

Formula: Geometric mean =root(n)(a_1*a_2*a_3...a_n)

Here, n = 9, a1 = 41, a2 = 78...a9 = 48

= root(9)(41 * 78 * 49 * 76 * 85 * 44 * 94 * 21 * 48) = 54.46

Therefore geometric mean of 9 student's marks is 54.46.

Between, if you have problem on these topics Interest Compounding, please browse expert math related websites for more help on Interior Angle of a Hexagon.

Geometric Average Calculator - Practice Problems

Problem 1: Calculate the geometric mean of following marks of 10 boys; 73, 75, 63, 65, 79, 69, 59, 47, 68, 40.

Problem 2: Calculate the geometric mean of following weights of 10 girls; 50, 62, 74, 49, 62, 61, 78, 73, 67, 73.

Answer: 1) 62.58 2) 64.17