How homogeneous is the universe

Recent observations of the quadrupole anisotropy of the 3 K microwave background indicate that the universe may be inhomogeneous on scales larger than the present Hubble radius. Observations of galaxies and QSOs are analyzed to see what non-microwave data indicate about the homogeneity of the universe. They give the limit Delta rho/rho less than 0.4 for the global variation of matter density. This does not satisfy the condition Delta rho/rho much less than 1 for homogeneity. The non-microwave data are therefore in agreement with the microwave data in indicating that the universe may be globally inhomogeneous