We present measured hadron energy distributions for the reactions $\ensuremath{\nu}(\overline{\ensuremath{\nu}})+N\ensuremath{\rightarrow}\ensuremath{\nu}(\overline{\ensuremath{\nu}})+\mathrm{hadrons}$ at high energy, as well as for the similar charged-current interactions. Insofar as possible, the determination of these distributions avoids any a priori assumptions about either the neutral-current or the charged-current interactions. We further analyze the neutral-current distributions within the framework of specific models, particularly the scaling model, to obtain a positive-helicity component $P=0.36\ifmmode\pm\else\textpm\fi{}0.10$, which lies between pure $V\ensuremath{-}A$ and pure $V$ or $A$, and a coupling strength of ${g}_{0}=0.31\ifmmode\pm\else\textpm\fi{}0.03$ relative to the charged-current interaction. These coupling parameters agree well with the predictions of the Weinberg-Salam model with ${{sin}^{2}\ensuremath{\theta}}_{W}=0.33\ifmmode\pm\else\textpm\fi{}0.07$.