One some measures of qualitative variation and entropy

Measures of variation can be evaluated as the tools for testing the goodness of fit of the average values to entire data. It is impossible to calculate arithmetic mean when the data are qualitative . Similarly the measures of variation such as the variance and the standard deviation cannot be calculated for qualitative distributions . When the distribution is qualitative, mode can be used to determine central tendency. In literature there are some statistics offered for measuring qualitative variation.