We report a search for gravitational waves from the inspiral , merger and ringdown of binary black holes ( BBH ) with total mass between 25 and 100 solar masses , in data taken at the LIGO and Virgo observatories between July 7 , 2009 and October 20 , 2010 . The maximum sensitive distance of the detectors over this period for a ( 20,20 ) \mathrm { M _ { \odot } } coalescence was 300 Mpc . No gravitational wave signals were found . We thus report upper limits on the astrophysical coalescence rates of BBH as a function of the component masses for non-spinning components , and also evaluate the dependence of the search sensitivity on component spins aligned with the orbital angular momentum . We find an upper limit at 90 \% confidence on the coalescence rate of BBH with non-spinning components of mass between 19 and 28 \mathrm { M _ { \odot } } of 3.3 \times 10 ^ { -7 } mergers \mathrm { Mpc } ^ { -3 } \mathrm { yr } ^ { -1 } .