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 13.8%, 5.3%, and 3.1% can be found by computing the geometric mean of 1.138, 1.053, and 1.031. Find that average growth factor, or geometric mean. What single percentage growth rate would be the same as having three successive growth rates of 13.8%, 5.3%, and 3.1%? Is that result the same as the mean of 13.8%, 5.3%, and 3.1%?

MATLAB: An Introduction with Applications
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The single percentage growth rate that would be the same as having three successive growth rates of 13.8 percent, 5.3 percent and 3.1 percent is?

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 13.8%, 5.3%, and
3.1% can be found by computing the geometric mean of 1.138, 1.053, and 1.031. Find that average growth factor, or geometric mean. What
single percentage growth rate would be the same as having three successive growth rates of 13.8%, 5.3%, and 3.1%? Is that result the same as the mean of 13.8%,
5.3%, and 3.1%?
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 13.8%, 5.3%, and 3.1% can be found by computing the geometric mean of 1.138, 1.053, and 1.031. Find that average growth factor, or geometric mean. What single percentage growth rate would be the same as having three successive growth rates of 13.8%, 5.3%, and 3.1%? Is that result the same as the mean of 13.8%, 5.3%, and 3.1%?
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