- Variation ratio
The

**variation ratio**is a simple measure ofstatistical dispersion innominal distribution s; it is the simplest measure ofqualitative variation .It is defined as the percent of cases which are not the

mode ::$mathbf\{v\}\; :=\; 1\; -\; frac\{f\_m\}\{N\}.$While a simple measure, it is notable in that some texts and guides suggest or imply that the dispersion of nominal measurements cannot be ascertained. It is defined for instance in Harv|Freeman|1965.

Just as with the

range orstandard deviation , the larger the variation ratio, the more differentiated or dispersed the data are; and the smaller the variation ratio, the more concentrated and similar the data are.For example, a group which is 55% female has a variation ratio of 45% and is more dispersed in terms of gender than a group which is 95% female and has a variation ratio of only 5%. Similarly, a group which is 25% Catholic (where Catholic is the modal religious preference) has a variation ratio of 75% and is much more dispersed religiously than a group which is 85% Catholic and has a variation ratio of only 15%.

**References*** Citation

last=Freeman

first=Linton C.

title=Elementary Applied Statistics

publisher=John Wiley and Sons

location=New York

year=1965

pages=40–43**ee also***

Qualitative variation , for a number of other measures of dispersion in nominal variables

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