The Geometric average is a special kind of typical where we multiply the number together and then take a square root (for 2 numbers), cube root (for three numbers) etc.
You are watching: Geometric mean of 4 and 9
Example: What is the Geometric typical of 2 and 18?
First we multiply them: 2 × 18 = 36Then (as there are two numbers) take the square root: √36 = 6In one line:
Geometric mean of 2 and 18 = √(2 × 18) = 6
It is favor the area is the same!

Example: What is the Geometric mean of 10, 51.2 and 8?
First us multiply them: 10 × 51.2 × 8 = 4096Then (as there space three numbers) take it the cube root: 3√4096 = 16In one line:
Geometric mean = 3√(10 × 51.2 × 8) = 16
It is prefer the volume is the same:

Example: What is the Geometric typical of 1, 3, 9, 27 and also 81?
First we multiply them: 1 × 3 × 9 × 27 × 81 = 59049Then (as there room 5 numbers) take it the 5th root: 5√59049 = 9In one line:
Geometric mean = 5√(1 × 3 × 9 × 27 × 81) = 9
I can"t display you a nice snapshot of this, however it is quiet true that:
1 × 3 × 9 × 27 × 81 = 9 × 9 × 9 × 9 × 9
Example: What is the Geometric typical of a Molecule and a Mountain

Using scientific notation:
A molecule that water (for example) is 0.275 × 10-9 mMount Everest (for example) is 8.8 × 103 m
Example: you want to purchase a brand-new camera.
One camera has actually a zoom of 200 and gets an 8 in reviews,The other has a zoom of 250 and gets a 6 in reviews.Comparing utilizing the normal arithmetic mean provides (200+8)/2 = 104 vs (250+6)/2 = 128. The zoom is such a huge number the the user rating it s okay lost.
But the geometric way of the two cameras are:
√(200 × 8) = 40√(250 × 6) = 38.7...See more: What Is See You Later In Spanish ? 65+ Ways To Say Goodbye In Spanish
So, even though the zoom is 50 bigger, the reduced user rating the 6 is still important.