Question

what is the geometric mean between 5 and 125

Answer 1

geometric mean between 5 and 25 is

《5×25》= 《5× 5cube 》 =5 square =25

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Answer 2

Answer:The Geometric mean between 5 and 125 is 25.

Step-by-step explanation:

Given: The numbers are 5 and 125.

To find:We have to find geometric mean between 5 and 125

Explanation:

Step 1: To find the geometric mean of a and b we have to use the formula,

                 Geometric mean of $a$ and $b$ $= \sqrt{ab}$

Step 2: Substitute the value in the formula we have,

                  Geometric mean of $5$ and $125$ $=$ $\sqrt{5(125)}$

                                                                    $= \sqrt{625}$

                                                                    $= 25$

∴ The Geometric mean between 5 and 125 is 25.

Concept: Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values. Basically, we multiply the numbers altogether and take the nth root of the multiplied numbers, where n is the total number of data values. For example: for a given set of two numbers such as 3 and 1, the geometric mean is equal to √(3×1) = √3 = 1.732.

In other words, the geometric mean is defined as the nth root of the product of n numbers. It is noted that the geometric mean is different from the arithmetic mean. Because, in arithmetic mean, we add the data values and then divide it by the total number of values. But in geometric mean, we multiply the given data values and then take the root with the radical index for the total number of data values.  

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