How to round half down in Mathematica?

ClearAll[roundDown]
roundDown = Ceiling[# - 1/2] &; (* thanks: @MichaelE2 *)

roundDown @ {7.4999, 7.5, 7.51}
(* or roundDown[{7.4999, 7.5, 7.51}] *)

{7, 7, 8}

Adding a note to kglr's answer, consider

n = 50*4.65

roundDown[n]

233

An improvement could be

rd[n_] := Ceiling[With[{r = Round[#]}, r + Chop[# - r]] &[n - 0.5]]

rd[n]

232

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