**Qualitative variation** (QV) allows us to assess the degree of statistical dispersion in nominal distributions. In descriptive statistics, statistical dispersion (also called statistical variability) is quantifiable variation of measurements of differing members of a population within the scale on which they are measured. ...
Variance is minimized if all cases belong to a single category and is maximized when all cases are qually distributed across all categories. The lower bound of qualitative variation is 0 - when all cases belong to a single category. The larger the number of categories and the laeger the differences in frequencies across categories, the larger the variance. Index of qualitative variation (IQV) is defined as a ratio of observed differences to maximum differences.
## See also In probability theory and statistics, the variance of a random variable (or somewhat more precisely, of a probability distribution) is a measure of its statistical dispersion, indicating how its possible values are spread around the expected value. ...
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