  We show that the expected value of the mean width of a random polytope
generated by $N$ random vectors ($n\leq N\leq e^{\sqrt n}$) uniformly
distributed in an isotropic convex body in $\R^n$ is of the order $\sqrt{\log
N} L_K$. This completes a result of Dafnis, Giannopoulos and Tsolomitis. We
also prove some results in connection with the 1-dimensional marginals of the
uniform probability measure on an isotropic convex body, extending the interval
in which the average of the distribution functions of those marginals behaves
in a sub- or supergaussian way.
