The Geometric typical is a special type of average where we multiply the number together and then take it a square root (for 2 numbers), cube root (for three numbers) etc.
You are watching: Find the geometric mean of 7 and 9
Example: What is the Geometric average of 2 and also 18?
First we multiply them: 2 × 18 = 36Then (as there are two numbers) take the square root: √36 = 6In one line:
Geometric median of 2 and 18 = √(2 × 18) = 6
It is like the area is the same!

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

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

Using clinical notation:
A molecule of water (for example) is 0.275 × 10-9 mMount Everest (for example) is 8.8 × 103 m
Example: you desire to to buy a new camera.
One camera has actually a zoom the 200 and gets one 8 in reviews,The other has a zoom of 250 and gets a 6 in reviews.Comparing making use of the usual arithmetic mean gives (200+8)/2 = 104 vs (250+6)/2 = 128. The zoom is such a huge number the the user rating gets lost.
But the geometric method of the 2 cameras are:
√(200 × 8) = 40√(250 × 6) = 38.7...See more: How To Tie A Knot In A Cherry Stem In A Knot With Your Tongue
So, also though the zoom is 50 bigger, the lower user rating of 6 is tho important.