  We present a measurement of the D/H abundance ratio in a metal-poor damped
Lyman alpha (DLA) system along the sightline of QSO SDSS1558-0031. The DLA
system is at redshift z = 2.70262, has a neutral column density of
log(NHI)=20.67+/-0.05 cm^2, and a gas-phase metallicity [O/H]= -1.49 which
indicates that deuterium astration is negligible. Deuterium absorption is
observed in multiple Lyman series with a column density of
log(NDI)=16.19+/-0.04 cm^2, best constrained by the deuterium Lyman-11 line. We
measure log(D/H) = -4.48+/-0.06, which when combined with previous measurements
along QSO sightlines gives a best estimate of log(D/H) = -4.55+/-0.04, where
the 1-sigma error estimate comes from a jackknife analysis of the weighted
means. Using the framework of standard big bang nucleosynthesis, this value of
D/H translates into a baryon density of Omega_b h^2 = 0.0213 +/- 0.0013 +/-
0.0004 where the error terms represent the 1-sigma errors from D/H and the
uncertainties in the nuclear reaction rates respectively. Combining our new
measurement with previous measurements of D/H, we no longer find compelling
evidence for a trend of D/H with NHI.
