Most known giant planets (300-6000 M_earth) are “atypical;” the occurrence rate of giant planets peaks between 1 and 10 au, but very few have been discovered in this regime. However, as the baselines of Doppler surveys mature and statistics improve, we are beginning to resolve population-level features of these “typical” giants. In this presentation, I will show the completeness-corrected eccentricity distributions of giant exoplanets at the peak of occurrence, highlighting a preliminary result that the occurrence rate at e=0.3 is higher than the occurrence rate at e=0. This result places an interesting constraint on models of planet formation: the average super-Jupiter is eccentric.