The Consumer Price Index is reported monthly by the U.S....

Name: Problem 27, Chapter 3: Basic Statistics for Business and Economics
Uploaded: 2022-02-22T21:30:56-08:00
Duration: 1 min 26 s
Channel: Lucas Finney
Description: The Consumer Price Index is reported monthly by the U.S. Bureau of Labor Statistics. It reports the change in prices for a market basket of goods from one period to another. The index for 1992 was 140.3 , by 2003 it increased to 184.6 . What was the geometric mean annual increase for the period?

The Consumer Price Index is reported monthly by the U.S. Bureau of Labor Statistics. It reports the change in prices for a market basket of goods from one period to another. The index for 1992 was 140.3 , by 2003 it increased to 184.6 . What was the geometric mean annual increase for the period?

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Key Concepts

Annualized Growth Rate

The annualized growth rate represents the constant rate at which a quantity grows each year over a specified period, assuming compounding. It is computed by dividing the ratio of the ending value to the beginning value by the number of periods, raising the result to the reciprocal of the number of periods, and then subtracting one. This calculation smooths out variations across years, allowing for consistent comparisons over time.

Geometric Mean

The geometric mean is a statistical measure that is used to calculate the average rate of change over time, accounting for compounding effects. Unlike the arithmetic mean, it multiplies the factors of change and then takes the appropriate root, making it particularly useful in computing growth rates such as annual increases in economic indices, financial returns, or inflation.

Consumer Price Index (CPI)

The Consumer Price Index is an economic indicator published by government agencies, such as the U.S. Bureau of Labor Statistics, that measures the average change over time in the prices paid by consumers for a basket of goods and services. It serves as a key measure of inflation and helps in understanding how price levels evolve, influencing economic policy and cost-of-living adjustments.

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