The comparative behaviour of normal and anomalous
averages as functions of momentum or energy, at different
temperatures, is analysed for systems with Bose-Einstein
condensate. Three qualitatively distinct temperature regions are
revealed: The critical region, where the absolute value of the
anomalous average, for the main energy range, is much smaller than
the normal average. The region of intermediate temperatures, where
the absolute values of the anomalous and normal averages are of
the same order. And the region of low temperatures, where the
absolute value of the anomalous average, for practically all
energies, becomes much larger than the normal average. This shows
the importance of the anomalous averages for the intermediate and,
especially, for low temperatures, where these anomalous averages
cannot be neglected.