Misfit of asteroids with Maclaurin and Jacobi ellipsoids, ordered by increasing misfit. The asteroids closest to a Maclaurin ellipsoid are in blue, and those closest to a Jacobi ellipsoid are in red. The black dots represent the ordered medians for 42 random variables following a χ² distribution. The green dot is the median for a single random variable following a χ² distribution (it corresponds to the 21st asteroid and a misfit of 0.88). The misfits of the asteroids are well above the ordered medians, indicating that they are very unlikely to be Maclaurin or Jacobi ellipsoids overall. Individually, few asteroids have a misfit lower than the median of a single random variable, indicating that, even individually, few asteroids have a good probability of being Maclaurin or Jacobi ellipsoids.