This is an announcement for the paper "On mean outer radii of random polytopes" by David Alonso-Gutierrez, Nikos Dafnis, Maria A. Hernandez Cifre, and Joscha Prochno. Abstract: In this paper we introduce a new sequence of quantities for random polytopes. Let $K_N=\conv\{X_1,\dots,X_N\}$ be a random polytope generated by independent random vectors uniformly distributed in an isotropic convex body $K$ of $\R^n$. We prove that the so-called $k$-th mean outer radius $\widetilde R_k(K_N)$ has order $\max\{\sqrt{k},\sqrt{\log N}\}L_K$ with high probability if $n^2\leq N\leq e^{\sqrt{n}}$. We also show that this is also the right order of the expected value of $\widetilde R_k(K_N)$ in the full range $n\leq N\leq e^{\sqrt{n}}$. Archive classification: math.FA Mathematics Subject Classification: Primary 52A22, Secondary 52A23, 05D40 Remarks: 14 pages Submitted from: prochno@math.uni-kiel.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1211.2336 or http://arXiv.org/abs/1211.2336