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The synchronization transition of coupled random frequency oscillators is revisited. The Kuramoto model (global coupling) is shown to exhibit unusual sample-to-sample fluctuations dominant over temporal fluctuations, resulting in the finite-size-scaling exponent $\bar\nu=5/2$. This may be generalized to scale-free networks where more interesting finite-size scaling is observed.Simulations of locally coupled oscillators in $d$-dimensions reveal two types of frequency entrainment: mean-field behavior at $d>4$, and aggregation of compact synchronized domains in three and four dimensions. In the latter case, scaling arguments yield the finite-size-scaling exponent $\nu=2/(d-2)$, in good agreement with numerical results. Finally we discuss over temporal fluctuations and hyperscaling relations in various mean-field environments