Question

find the geometric mean between 1/2 and 2

Answer 1

Answer:

1 1/4

Step-by-step explanation:

Answer 2

Answer:

The geometric mean between 1/2 and 2 is 1.

Step-by-step explanation:

Given:-

Values are 1/2 and 2.

To Find :-

Geometric Mean.

Solution :-

The geometric mean of two numbers a and b is defined as the square root of their product,

i.e.,

$\sqrt{(a \times b)}.$

Here, the numbers are 1/2 and 2.

So, the geometric mean is:

$= \sqrt{( \frac{1}{2} \times (2))}$

$= \sqrt{1}$

$= 1$

Therefore, the geometric mean between 1/2 and 2 is 1.

Geometric Mean:-

By taking the nth root of the product of n numbers, the geometric mean is a type of average used in mathematics and statistics. In plainer language, it is the product of n values at the nth root.

The geometric mean is often used to calculate rates of change or growth rates, especially in financial analysis. It is also useful when dealing with variables that are positively skewed, as it is less affected by extreme values than the arithmetic mean.

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