Geometric Mean

Front

What is the geometric mean?

Back

The geometric mean is a measure of central tendency that is calculated by multiplying a set of numbers and then taking the nth root of the product, where n is the total number of values.

Front

How do you calculate the geometric mean of two numbers?

Back

To calculate the geometric mean of two numbers a and b, use the formula: √(a * b).

Front

What is the geometric mean between 64 and 25?

Back

40

Front

What is the geometric mean for 4 and 9?

Back

6

Front

What is the geometric mean for 3 and 9?

Back

3√3

Front

If the geometric mean of two numbers is 10 and one of the numbers is 5, what is the other number?

Back

20 (since 10 = √(5 * x) => x = 20).

Front

What is the relationship between the arithmetic mean and the geometric mean?

Back

The arithmetic mean is always greater than or equal to the geometric mean for non-negative numbers.

Front

What is the geometric mean of 1 and 100?

Back

10 (since √(1 * 100) = 10).

Front

How is the geometric mean used in finance?

Back

The geometric mean is used to calculate average growth rates over time, such as investment returns.

Front

What is the geometric mean of 2, 8, and 32?

Back

8 (since (2 * 8 * 32)^(1/3) = 8).