Cumulative distribution function of β for Sculptor. The black lines show the CDF obtained for Sculptor from the FLAMES dataset; the CDFs from 750 examples of mock datasets for a binary fraction of 0, 0.55 and 1 are shown in green, blue, and salmon respectively. As there is some overlap between the cases of f = 0.55 and f = 1, the median cumulative curve is highlighted in each case with brighter colors and a thicker line-width. Inset: Example for just one simulation, where in gray we highlight the area between the CDF of the simulated case and that for the Sculptor observations, that is what we use when computing the likelihood function.