This research article introduces the concept of rough statistical convergence for triple sequences of real-valued functions defined using a Musielak-Orlicz function metric. Triple sequences are functions with three indices, where the indices range over the natural numbers. The paper defines pointwise rough statistical convergence and rough statistically Cauchy sequences for triple sequences. Two main theorems are proved: 1) If two triple sequence spaces satisfy certain inclusion properties, then their pointwise rough statistical convergence is identical. 2) A triple sequence is pointwise roughly statistically convergent if and only if it is a rough statistically Cauchy sequence if and only if certain limit properties hold. The concepts generalize previous notions of rough convergence and rough statistical convergence for triple sequences.