  We investigate the average coherence with respect to a complete set of
complementary measurements. By using a Wigner-Yanase skew information-based
coherence measure introduced in [Phys. Rev. A \textbf{96}, 022130, 2017], we
evaluate the average coherence of a state with respect to any complete set of
mutually unbiased measurements and general symmetric informationally complete
measurements, respectively. We also establish analytically the relations among
these average coherences.
