Geometric Mean

Front

What is the geometric mean of two positive numbers a and b?

Back

The geometric mean is calculated as √(a * b).

Front

How do you calculate the geometric mean of three numbers a, b, and c?

Back

The geometric mean of three numbers is calculated as (a * b * c)^(1/3).

Front

What is the geometric mean of 1 and 16?

Back

The geometric mean of 1 and 16 is 4.

Front

If the geometric mean of two numbers is 10, what is the product of those two numbers?

Back

The product of the two numbers is 100, since 10^2 = 100.

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

How can the geometric mean be used in finance?

Back

The geometric mean is used to calculate average rates of return over time.

Front

What is the formula for the geometric mean of n numbers?

Back

The formula is (x1 * x2 * ... * xn)^(1/n).

Front

What is the geometric mean of 4 and 9?

Back

The geometric mean of 4 and 9 is 6.

Front

How do you find the geometric mean of two numbers if one of them is negative?

Back

The geometric mean is not defined for negative numbers.

Front

What is the geometric mean of 5 and 8?

Back

The geometric mean of 5 and 8 is 2√10.