Geometric Mean

Front

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

Back

The geometric mean is defined as the square root of the product of the two numbers: √(a*b).

Front

How do you calculate the geometric mean for the numbers 6 and 8?

Back

The geometric mean is √(6*8) = √48 = 4√3.

Front

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

Back

The geometric mean of n numbers is the n-th root of the product of the numbers: (x1 * x2 * ... * xn)^(1/n).

Front

If the geometric mean of two numbers is 10, what is the relationship between the numbers?

Back

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

Front

What is the geometric mean of 4 and 16?

Back

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

Front

How does the geometric mean differ from the arithmetic mean?

Back

The geometric mean is used for sets of positive numbers and is calculated by multiplying the numbers and taking the root, while the arithmetic mean is the sum of the numbers divided by the count.

Front

What is the geometric mean of 1 and 25?

Back

The geometric mean is √(1*25) = √25 = 5.

Front

If a and b are two numbers, what is the geometric mean expressed in terms of a and b?

Back

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

Front

What is the geometric mean of 9 and 25?

Back

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

Front

How can the geometric mean be used in finance?

Back

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