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 for three numbers a, b, and c?

Back

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

Front

What is the geometric mean of 4 and 16?

Back

The geometric mean is √(4 * 16) = √64 = 8.

Front

If the geometric mean of two numbers is 6, what could the numbers be?

Back

The numbers could be 4 and 9, since √(4 * 9) = 6.

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 1, 2, and 3?

Back

The geometric mean is (1 * 2 * 3)^(1/3) = 6^(1/3) = ∛6.

Front

How does the geometric mean apply to growth rates?

Back

The geometric mean is used to find the average growth rate over multiple periods.

Front

What is the geometric mean of 9 and 25?

Back

The geometric mean is √(9 * 25) = √225 = 15.