Histogram (top) and cumulative histogram (bottom) of the population before and after scattering as a function of semi-major axis, normalized with respect to the total number of planets in the population. Only objects below 75 M_Jup are considered. Approximately 50% of the planets are ejected from the systems during the scattering, resulting in a much smaller total number of planets in the scattered population. The vertical dashed lines at 10 and 400 AU mark the semi-major axis range where the average detection probability of our observations is ~50% or more for massive companions.