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In the context of dwarf spheroidal galaxies it is hard to firmly disentanglea genuine Blue Stragglers (BSS) population from a normal young main (MS)sequence. This difficulty is persistent. For a sample of 9 non-star formingLocal Group dwarf galaxies we compute the ``BSS frequency'' and compare it withthat found in the Milky Way globular/open clusters and halo. The comparisonshows that the BSS-frequency in dwarf galaxies, at any given Mv, is alwayshigher than that in globular clusters of similar luminosities. Moreover, theestimated BSS-frequency for the lowest luminosity dwarf galaxies is inexcellent agreement with that observed in the Milky Way halo and open clusters.We conclude that the low density, almost collision-less environment, of ourdwarf galaxy sample point to their very low dynamical evolution and consequentnegligible production of collisional BSS.