We derive the statistical properties of neutral gas at redshifts 0.11 < z < 1.65 from UV measurements of quasar Lyα absorption lines corresponding to 369 Mg ii systems with W λ2796 0 ≥ 0.3Å. In addition to the 41 damped Lyman alpha (DLA) systems presented in Rao et al. (2006), the current DLA sample includes 29 newly discovered DLAs. Of these, 26 were found in our Hubble Space Telescope (HST) Advanced Camera for Surveys prism survey for DLAs (Turnshek et al. 2015) and three were found in a GALaxy Evolution Explorer (GALEX) archival search. In addition, an HST Cosmic Origins Spectrograph Cycle 19 survey yielded no DLAs that could be used for this study. Formally, this DLA sample includes 70 systems with N HI ≥ 2 × 10 20 atoms cm −2 . We find that the incidence of DLAs, or the product of their gas cross section and their comoving number density, can be described by n DLA (z) = (0.027±0.007)(1+z) (1.682±0.200) over the redshift range 0 < z < 5. The cosmic mass density of neutral gas can be described by Ω DLA (z) = (4.77 ± 1.60) × 10 −4 (1 + z) (0.64±0.27) . The low-redshift column density distribution function is well-fitted by a power law of the form f (N) ∼ N β with β = −1.46 ± 0.20. It is consistent with the high-redshift as well as z = 0 estimates at the high column density end but, lies between them at the low column density end. We discuss possible N HI and metallicity bias in Mg ii-selected DLA samples and show that such biases do not exist in the current data at z < 1.65. Thus, at least at z < 1.65, DLAs found through Mg ii selection statistically represent the true population of DLAs. However, we caution that studies of DLA metallicities should take into the account the relative incidence of DLAs with respect to W λ2796 0 (or gas velocity spread) in order to correctly measure the mean neutral-gas cosmic metallicity of the universe.