  We studied the escort averages in microcanonical and canonical ensembles in
the Tsallis statistics of entropic parameter $q>1$. The quantity $(q-1)$ is the
measure of the deviation from the Boltzmann-Gibbs statistics. We derived the
relation between the escort average in the microcanonical ensemble and the
escort average in the canonical ensemble. Conditions arise by requiring that
the integrals appeared in the canonical ensemble do not diverge. A condition is
the relation between the heat capacity $C_V^{\mathrm{CE}}$ at constant volume
in the canonical ensemble and the entropic parameter $q$: $0 < (q-1)
C_V^{\mathrm{CE}} < 1$. This condition gives the known condition when
$C_V^{\mathrm{CE}}$ equals the number of ingredients $N$. With the derived
relation, we calculated the energy, the energy fluctuation, and the difference
between the canonical ensemble and the microcanonical ensemble in the
expectation value of the square of Hamiltonian. The difference between the
microcanonical ensemble and the canonical ensemble in energy is small because
of the condition. The heat capacity $C_V^{\mathrm{CE}}$ and the quantity
$(q-1)$ are related to the energy fluctuation and the difference. It was shown
that the magnitude of the relative difference
$|(S^{\mathrm{CE}}_{\mathrm{R}q}-S^{\mathrm{ME}}_{\mathrm{R}q})/S^{\mathrm{ME}}_{\mathrm{R}q}|$
is small when the number of free particles is large, where
$S^{\mathrm{ME}}_{\mathrm{R}q}$ is the R\'enyi entropy in the microcanonical
ensemble and $S^{\mathrm{CE}}_{\mathrm{R}q}$ is the R\'enyi entropy in the
canonical ensemble. The similar result was also obtained for the Tsallis
entropy.
