  In the literature measures of fine-tuning have been discussed as one of the
tools to assess the feasibility of beyond the Standard Model theories. In this
paper we focus on two specific measures and investigate what kind of
fine-tuning they actually quantify. First we apply both measures to the two
Higgs doublet model, for which one can analyze the numerical results in terms
of available analytic expressions. After drawing various conclusions about the
fine-tuning measures, we investigate a particular left-right symmetric model
for which it has been claimed that already at tree-level it suffers from a high
amount of fine-tuning. We will reach a different conclusion, although
left-right symmetric models may require a modest amount of fine-tuning if
phenomenological constraints are imposed. Our analysis shows that the two
considered measures can probe different aspects of fine-tuning and are both
useful if applied and interpreted in the appropriate way.
