# Arithmetic Mean Geometric Mean And Harmonic Mean Pdf

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In mathematics , the harmonic mean is one of several kinds of average , and in particular, one of the Pythagorean means. Typically, it is appropriate for situations when the average of rates is desired. The harmonic mean can be expressed as the reciprocal of the arithmetic mean of the reciprocals of the given set of observations. As a simple example, the harmonic mean of 1, 4, and 4 is.

## The Arithmetic, Geometric and Harmonic Means

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## Harmonic mean

All of the tests in the first part of this handbook have analyzed nominal variables. You summarize data from a nominal variable as a percentage or a proportion. The rest of the tests in this handbook analyze measurement variables. Summarizing data from a measurement variable is more complicated, and requires a number that represents the "middle" of a set of numbers known as a "statistic of central tendency" or "statistic of location" , along with a measure of the "spread" of the numbers known as a "statistic of dispersion". The arithmetic mean is the most common statistic of central tendency, while the variance or standard deviation are usually used to describe the dispersion. The statistical tests for measurement variables assume that the probability distribution of the observations fits the normal bell-shaped curve. If this is true, the distribution can be accurately described by two parameters, the arithmetic mean and the variance.

## Measures of central tendency: The mean

Quantitative Methods 1 Reading 7. Statistical Concepts and Market Returns Subject 4. Measures of Center Tendency. Why should I choose AnalystNotes? AnalystNotes specializes in helping candidates pass.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. I have probability density of function of some data it's triangular. How can I calculate harmonic or geometric mean of the data? From the definition of the MeijerG-function as a complex line integral we find the following integral representation for the pdf.

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