  In this work we revisit the MIT bag model to describe quark matter within
both the usual Fermi-Dirac and the Tsallis statistics. We verify the effects of
the non-additivity of the latter by analysing two different pictures: the first
order phase transition of the QCD phase diagram and stellar matter properties.
While, the QCD phase diagram is visually affected by the Tsallis statistics,
the resulting effects on quark star macroscopic properties are barely noticed.
