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In statistics the coefficient of variation is the ratio of the standard deviation to the mean and is used to measure the dispersion in the data. It has been argued that quantities defined as ratios Q = A / B having equal dimensions in numerator and denominator are actually only unitless quantities and still have physical dimension defined as ...
This is a list of well-known dimensionless quantities illustrating their variety of forms and applications. The tables also include pure numbers, dimensionless ratios, or dimensionless physical constants; these topics are discussed in the article.
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In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric current) and units of measurement (such as metres and grams) and tracking these dimensions as calculations or comparisons are performed.
Most measures of dispersion have the same units as the quantity being measured. In other words, if the measurements are in metres or seconds, so is the measure of dispersion. Examples of dispersion measures include: Standard deviation; Interquartile range (IQR) Range; Mean absolute difference (also known as Gini mean absolute difference)
As a dimensionless quantity, it allows for the comparison of dissimilar animals or modes of transportation. It has a wide range of applications, from comparing human gaits to observing the change in efficiency of trains over time. It is calculated in one of two ways, both shown in the following definition:
The relative mean absolute difference quantifies the mean absolute difference in comparison to the size of the mean and is a dimensionless quantity. The relative mean absolute difference is equal to twice the Gini coefficient which is defined in terms of the Lorenz curve. This relationship gives complementary perspectives to both the relative ...
Pages in category "Dimensionless numbers" The following 57 pages are in this category, out of 57 total. ... Statistics; Cookie statement; Mobile view ...