I present a model independent analysis of thermal dark matter constraining its mass and interaction strengths with data from astro- and particle physics experiments. Using effective field theory to describe interactions of dark matter particles I cover real and complex scalar, Dirac and Majorana fermion, and vector boson dark matter candidates. I show posterior probability distributions for the mass and interaction strengths for the various spin cases. The observationally favored dark matter particle mass region is 10-100 GeV with effective interactions that have a cut-off at 0.1-1 TeV. This is mainly the result of the requirement that the thermal abundance of dark matter does not exceed the observed value. Thus thermal dark matter coupled with present data implies new physics most likely under 10 TeV.