Thus, during the reaction, bromine is present in four different oxidation states i.e., zero in $Br_2, + 1$ in $NaBrO, -1$ in $NaBr$ and $+5$ in $NaBrO_3$.
The greatest difference between various oxidation states of bromine is 6 and not 5. On acidification of the final mixture, $Br_2$ is formed and disproportionation of $Br_2$ occurs during the reaction giving $BrO^{-},\, Br^-$ and $BrO_3^{-}$ ions.