What is Geometric mean?

Question

How to you calculate Geometric mean?

Answer 1

you get geometric mean by multiplying two numbers given and taking its square root.

here's one theorem that deals with triangle..

For right triangle with altitude (perpendicular to the opposite side of the vertex) to the hypotenuse drawn each leg and altitude is a geometric mean for 2 collinear segment on the hypotenuse that have a common end point with the geometric mean.

draw a right triangle and a altitude to the hypotenuse.
there are three triangles in that now, two small ones and one whole thing.
they are all similar to each other by AA corilary.
the two legs of big triangle and geometric means..
the altitude^2 is product of two segments making hypotenuse of big triangle.

one of the leg is geometric mean of the product of the whole hypotenuse of the whole triangle and the small segment intersecting the leg..

same thing with the other leg

Answer 2

To get the geometric mean of two numbers you just multiply them and take the aquare root; For example, the geometric mean of 6 and 8 would be: sqrt(48).

Answer 3

Suppose you are having 2 number 2 and 32, for which you have to find GM

1 .Multiply 2X32 =64
2. Find the square root of 64 ,= 8 , So GM =8

Answer 4

The average of a set of products, the calculation of which is commonly used to determine the performance results of an investment or portfolio. Technically defined as "the 'n'th root product of 'n' numbers", the formula for calculating geometric mean is most easily written as:

Answer 5

Multiply all terms together and take the n-th root, where n is the number of terms.

GM of two terms is square root of ab.

GM of three terms is cube root of abc

KrazyKyngeKorny
(Krazy, not stupid).

Answer 6

Mathematical definition: The n-th root of the product of n numbers.

Practical definition: The average of the logarithmic values of a data set, converted back to a base 10 number.

rgds

Answer 7

More generally,

(x1 * x2 * ... * xn) ^ (1/n)

[Nth-root of the product]