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24 Statistics Graphics Toolkit
simple mean is returned in its place. Also, the extreme ends of the appropriate intervals
— not the centerpoints — are returned as the lowest and highest values.
By default, grouped statistics are computed without Sheppard’s correction. If you wish
to use the correction, call SetSheppard(1) before calling GroupedStats. As with Stats,
call SetSD(0) before calling GroupedStats if you want to compute variance, etc., with
denominator n instead of n–1.
MeanSD (data(), mean, sd)
MeanSD returns the mean and standard deviation sd of a dataset data(). You can get
the same information from Stats but this is often handier. Call SetSD(0) to compute
the standard deviation based on denominator n instead of n–1.
GeoMeanSD (data(), mean, sd)
GeoMeanSD returns the geometric mean and standard deviation sd of a dataset
data(). These values are only defined for datasets containing strictly positive numbers.
Call SetSD(0) to compute the standard deviation based on denominator n instead of
n–1.
HarMean (data(), mean)
HarMean returns the harmonic mean of a dataset data(). Note that harmonic means
are defined only for datasets containing strictly positive numbers.
Modes (data(), n, modes(), count)
Modes returns all the modes of the dataset data() in modes(), and n equal to the number
of modes. If there are no modes, n = 0.
Otherwise n = Size(modes) and each element of modes() is a mode of the dataset. Count
tells the number of occurences of the modal value(s).
GroupedModes (freq(,), n, modes(), count)
GroupedModes returns all the modes of the frequency dataset freq(,) in modes(), and n
equal to the number of modes. If there are no modes, n = 0.
Otherwise n = Size(modes) and each element of modes() is a mode of the frequency
dataset, i.e, the centerpoint of an interval that has a high count. Count gives the frequency
value of the modal centerpoint(s).
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