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The average percentage growth is the geometric mean of the annual growth ratios (1.10, 0.88, 1.90, 0.70, 1.25), namely 1.0998, an annual average growth of 9.98%. The arithmetic mean of these annual returns – 16.6% per annum – is not a meaningful average because growth rates do not combine additively.
Compound annual growth rate (CAGR) is a business, economics and investing term representing the mean annualized growth rate for compounding values over a given time period. [ 1 ] [ 2 ] CAGR smoothes the effect of volatility of periodic values that can render arithmetic means less meaningful.
The geometric mean is an average that is useful for sets of positive numbers, that are interpreted according to their product (as is the case with rates of growth) and not their sum (as is the case with the arithmetic mean):
In statistics, the weighted geometric mean is a generalization of the geometric mean using the weighted arithmetic mean.. Given a sample = (, …,) and weights = (,, …,), it is calculated as: [1]
Economic growth, the increase in value of the goods and services produced by an economy; Compound annual growth rate or CAGR, a measure of financial growth; Population growth rate, change in population over time; Growth rate (group theory), a property of a group in group theory
Many pairs (b, τ) of a dimensionless non-negative number b and an amount of time τ (a physical quantity which can be expressed as the product of a number of units and a unit of time) represent the same growth rate, with τ proportional to log b. For any fixed b not equal to 1 (e.g. e or 2), the growth rate is given by the non-zero time τ.
The NFL playoffs are nearly in sight and the heat is on for some teams still in the fight to make the postseason.. Week 15 saw the number of teams that have qualified for the playoffs increase to ...
The geometric or multiplicative mean of the log-normal distribution is ... droplet splashing, population growth, swirling rate of the bathtub vortex, distribution of ...