  Dalton and Slawinski (2016) show that, in general, the Backus (1962) average
and the Gazis et al. (1963) average do not commute. Herein, we examine the
extent of this noncommutativity. We illustrate numerically that the extent of
noncommutativity is a function of the strength of anisotropy. The averages
nearly commute in the case of weak anisotropy.
