Answer to Question #162816 in Statistics and Probability for Kia

Question

Growth factors for the population of Chattanooga in the past two years have been 8 and 12. Find the value of the geometric mean.

Answer 1

The geometric mean is calculated by the formula:

$$\sqrt[n]{x_1x_2\cdot\cdot\cdot x_n}$$

Growth factors for the population in the past two years have been 8 and 12, therefore the geometric mean is

$$\sqrt{12\cdot8}=\sqrt{96}=4\sqrt{6}$$

Answer: $4\sqrt{6}$