A thin section investigation of sandstone beds from the Normanskill Formation [Ordovician] (New York State) and Charny Formation [Cambrian] (Quebec) fails to demonstrate that the average size of the the quartz grains, as measured by their geometric mean diameter, varies regularly within beds. The maximum size decreases from the base to the top of the bed for both formations, and the standard deviation decreases regularly for the Charny Formation. The size distributions tends to be positively skewed and platykurtic. A tendency for the larger grains in any sample to be more spherical, although statistically demonstrable, is so weak that it cannot be considered to be geologically significant. Sphericity does not vary regularly within beds, but there are significant differences between beds within the same formation. There is little difference in sphericity between the 2 formations.