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).

Tags

CCSS.8.EE.A.2

Front

Calculate the geometric mean of 4 and 16.

Back

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

Front

If the geometric mean of x and 9 is 3, what is the value of x?

Back

x = 3^2 / 9 = 1.

Tags

CCSS.8.EE.A.2

Front

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

Back

The geometric mean of n numbers is (x1 * x2 * ... * xn)^(1/n).

Tags

CCSS.HSF-IF.C.8B

Front

Find the geometric mean of 2 and 18.

Back

The geometric mean is √(2*18) = √36 = 6.

Tags

CCSS.8.EE.A.2

Front

If the geometric mean of 5 and x is 10, what is x?

Back

x = 10^2 / 5 = 20.

Tags

CCSS.8.EE.A.2

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

Calculate the geometric mean of 1 and 25.

Back

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

Front

If the geometric mean of a and b is 12, what is the product of a and b?

Back

The product of a and b is 12^2 = 144.

Tags

CCSS.8.EE.A.2

Front

Find the geometric mean of 3 and 27.

Back

The geometric mean is √(3*27) = √81 = 9.

Tags

CCSS.8.EE.A.2