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Ban is onter and average Tale ange, erage of grown, of average values (all of which are positive), the geometric mean is the nth root of their product. The average growth factor for money compounded at annual interest rates of 9.1%, 4.5%, and 2.2% can be found by computing the geometric mean of 1.091, 1.045, and 1.022. Find that average growth factor, or geometric mean. What single percentage growth rate would be the same as having three successive growth rates of 9.1%, 4.5%, and 2.2%? Is that result the same as the mean of 9.1%, 4.5%, and 2.2%?

Ban is onter and average Tale ange, erage of grown, of average values (all of which are positive), the geometric mean is the nth root of their product. The average growth factor for money compounded at annual interest rates of 9.1%, 4.5%, and 2.2% can be found by computing the geometric mean of 1.091, 1.045, and 1.022. Find that average growth factor, or geometric mean. What single percentage growth rate would be the same as having three successive growth rates of 9.1%, 4.5%, and 2.2%? Is that result the same as the mean of 9.1%, 4.5%, and 2.2%?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The geometric mean is often used in business and economics for finding average rates of change, average rates of growth, or average ratios. Given n values (all of which are positive), the geometric mean is the nth root of their product. The average growth factor for money compounded at annual interest rates of 9.1%, 4.5%, and 2.2% can be found by computing the geometric mean of 1.091, 1.045, and 1.022. Find that average growth factor, or geometric mean. What single percentage growth rate would be the same as having three successive growth rates of 9.1%, 4.5%, and 2.2%? Is that result the same as the mean of 9.1%, 4.5%, and 2.2%?
Transcribed Image Text:The geometric mean is often used in business and economics for finding average rates of change, average rates of growth, or average ratios. Given n values (all of which are positive), the geometric mean is the nth root of their product. The average growth factor for money compounded at annual interest rates of 9.1%, 4.5%, and 2.2% can be found by computing the geometric mean of 1.091, 1.045, and 1.022. Find that average growth factor, or geometric mean. What single percentage growth rate would be the same as having three successive growth rates of 9.1%, 4.5%, and 2.2%? Is that result the same as the mean of 9.1%, 4.5%, and 2.2%?
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