  We determine the strong coupling alpha_s at NNLO in perturbative QCD using
the global dataset input to the NNPDF2.1 NNLO parton fit: data from neutral and
charged current deep-inelastic scattering, Drell-Yan, vector boson production
and inclusive jets. We find alpha_s(M_Z)=0.1173+- 0.0007 (stat), where the
statistical uncertainty comes from the underlying data and uncertainties due to
the analysis procedure are negligible. We show that the distribution of alpha_s
values preferred by different experiments in the global fit is statistically
consistent, without need for rescaling uncertainties by a "tolerance" factor.
We show that if deep-inelastic data only are used, the best-fit value of
alpha_s is somewhat lower, but consistent within one sigma with the global
determination. We estimate the dominant theoretical uncertainty, from higher
orders corrections, to be Delta alpha_s (pert) ~ 0.0009.
