Question

what is the GM for the number 8,24 and 40

Answer 1

here i am assuming that by GM u meant "geometric mean"

Gemometric mean of three numbers, say a,b,c is defined as (axbxc)^(1/3)

So, GM =(8x24x40)^(1/3)
=7680^(1/3)
= 19.72

So the GM of the given numbers is 19.72

Answer 2

Answer:

Step-by-step explanation:

Definition of Geometric mean:

The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values. For instance, the geometric mean for a given pair of numbers, say 3 and 1, is equivalent to (3 + 1) = 3 = 1.732.

In other terms, the geometric mean is the product of n numbers divided by the nth root. The geometric mean differs from the arithmetic mean, as is noted. As a result of the fact that in arithmetic mean, the data values are added before being divided by the total number of values. However, when calculating the geometric mean, we multiply the provided data values before taking the root of the entire number of data values using the radical index. Take the square root, for instance, if there are two data points, the cube root if there are three, the fourth root if there are four, and so on.

Given:

$number = (8,24,40)$

Find:

GM for the number 8,24 and 40

Solution:

Geometric mean of three numbers,  is defined as $(a*b*c)^(1/3)$

$GM = (8*24*40)^(1/3)$

$=7680^(1/3)$

$=19.72$

Hence the GM for the number 8,24 and 40 is 19.72

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