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Important: The stats package has been deprecated . Use the superseding package Statistics instead.

The function geometricmean of the subpackage stats[describe, ...] computes the geometric mean of the given data.

Classes are assumed to be represented by the class mark, for example 10..12 has the value 11. Missing data are ignored.

The geometric mean is a measure of central tendency. For more information about such measures, please see the information about the mean.

The geometric mean of a set of N numbers is the Nth root of the product of those numbers.

The geometric mean is quite often the most appropriate measure of central tendency to use when ratios or rates are involved.

The command with(stats[describe],geometricmean) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{stats}\right)$

$\left[\mathrm{anova}\,\mathrm{describe}\,\mathrm{fit}\,\mathrm{importdata}\,\mathrm{random}\,\mathrm{statevalf}\,\mathrm{statplots}\,\mathrm{transform}\right]$

$R≔\mathrm{describe}\left[\mathrm{geometricmean}\right]\left(\left[1+\frac{10}{100}\,1+\frac{20}{100}\right]\right)\;$$\mathrm{evalf}\left(\right)$

$R≔\frac{\sqrt{33}\sqrt{25}}{25}$

$\left[\mathrm{anova}\,\mathrm{describe}\,\mathrm{fit}\,\mathrm{importdata}\,\mathrm{random}\,\mathrm{statevalf}\,\mathrm{statplots}\,\mathrm{transform}\right]$

$\mathrm{evalf}\left(100\left(R-1\right)\right)$

$14.8912530$

$1RR\;$$\mathrm{evalf}\left(\right)$

$\frac{33}{25}$

$14.8912530$

$\mathrm{describe}\left[\mathrm{geometricmean}\right]\left(\left[3\,4\right]\right)$

$\sqrt{12}$

$\frac{1}{\mathrm{describe}\left[\mathrm{geometricmean}\right]\left(\left[\frac{1}{3}\,\frac{1}{4}\right]\right)}$

$\sqrt{12}$

$\mathrm{describe}\left[\mathrm{mean}\right]\left(\left[3\,4\right]\right)$

$\frac{7}{2}$

$\frac{1}{\mathrm{describe}\left[\mathrm{mean}\right]\left(\left[\frac{1}{3}\,\frac{1}{4}\right]\right)}$

$\frac{24}{7}$