  The concept of varentropy has been recently introduced as a dispersion index
of the reliability of measure of information. In this paper, we introduce new
measures of variability for two measures of uncertainty, the Kerridge
inaccuracy measure and the Kullback-Leibler divergence. These new definitions
and related properties, bounds and examples are presented. Finally we show an
application of Kullback-Leibler divergence and its dispersion index using the
mean-variance rule.
