Monthly, zonally averaged limb infrared monitor of the stratosphere data from the Nimbus 7 satellite are used with an essentially algebraic photochemical equilibrium model presented in part 1 of this series (Kaye and Jackman, this issue) to infer concentrations and uncertainties of the odd hydrogen species OH, HO2, H2O2, and HO2NO2 as a function of altitude, latitude, and season. The inferred concentrations for OH and H2O2 are found to be reasonably consistent with some but not all previous observations; most of the inferred HO2 concentrations are below those which have been observed. Concentrations of all inferred species at mid-latitudes are expected to maximize in the summer. Uncertainties μi are found to be largest in the lower stratosphere for all species and to decrease approximately in the order μH2O2>μHO2NO2>μHO2>μOH over most of the stratosphere. In the tropics and at mid-latitudes the variation of the uncertainties with latitude and season is substantially smaller than the inferred variation of the concentrations.