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# What is the geometric mean of 12 and 16?

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## What is the geometric mean of 12 and 16?

approximately 13.8564
The geometric mean between 12 and 16 is approximately 13.8564.

## How do you find the geometric mean?

Geometric Mean Definition Basically, we multiply the ‘n’ values altogether and take out the nth root of the numbers, where n is the total number of values. For example: for a given set of two numbers such as 8 and 1, the geometric mean is equal to √(8×1) = √8 = 2√2.

## What is the geometric mean of 12 and 20?

The Geometric mean of two numbers is the square root of their product. Given numbers are 12,20. = √240. = 15.49.

## What is the geometric mean of 5 and 15?

The geometric mean of two numbers is the one which lies between the two numbers such that the three of them make a geometric sequence. We assume it to be “r”, and apply the common ratio formula, which will be $\dfrac{r}{5}=\dfrac{15}{r}$ . This gives $r=5\sqrt{3}$ .

## What is the geometric mean of 16 and 64?

Instead of the sum, take the product of all the data items, and instead of dividing take the root with an index equal to the number of items in the list. For example the geometric mean of 16 and 64 is: the second root of (16•64), since there are two items on the list.

## What is the geometric mean of 16 and 32?

32 is the geometric mean of 16 and what other number? Since the geometric mean is the nth root of the product of a geometric sequence of n terms, therefore: 32^2 / 16=64 the other term, because: sqrt(64 X 16)=32.

## What is the geometric mean of 3 and 12?

6
the value of the geometric mean of 3 and 12 is 6 .

## What is the geometric mean of 4 64?

¯x=√4×64=√256=16.

## What is the geometric mean of 7 and 63?

21
Therefore, the geometric mean of 7 and 63 is 21.

## How to calculate the geometric mean of a number?

The geometric mean is the average of a relevant set of quantities multiplied together to produce a product. An online statistical geometric mean calculator to find the geometric mean value of the given numbers or statistical data when all the quantities have the same value.

## What are the different types of geometric mean?

Among these, the mean of the data set will provide the overall idea of the data. The mean defines the average of numbers. The different types of mean are Arithmetic Mean (AM), Geometric Mean (GM) and Harmonic Mean (HM).

## Which is the geometric mean of the exponents?

The arithmetic mean of the exponents (1 and 3) is 2, so the geometric mean is 2 2 = 4. This can be verified by our geometric average calculator as well. As you can see, the geometric mean is significantly more robust to outliers / extreme values.

## When to use the G.M or geometric mean?

The products of the corresponding items of the G.M in two series are equal to the product of their geometric mean. The greatest assumption of the G.M is that data can be really interpreted as a scaling factor. Before that, we have to know when to use the G.M.