Applications of Arithmetic mean, Harmonic mean and Geometric mean

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In case where one deals with tabulated frequency distributions, which type of data is more suited to arithmetic mean, geometric mean and harmonic mean? I know how to calculate these means. However, I am confused which type of data requires arithmetic mean, or geometric mean or harmonic mean as the best average.

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Datasets following a linear regression are most easily summarised by the arithmetic mean. If the fit is exponential (the values span several orders of magnitude), the geometric mean is a better choice, and reciprocal regression (as is common with speeds and other rates) is usually explained with a harmonic mean.

In short, the equation your data values fit determines what type of average is most appropriate.