When I'm writing about sample distributions, I realize that I throw the 'shape' and 'order' terminology around assuming they're understood in this context. What I've never done is a proper treatment of either one, so here's 'shape'.
The use of the term shape comes from its informal use in statistics, referring to the characteristic shape of the graphs used to picture various probability distributions. A distribution’s shape refers to the relationship between values and their probabilities. The normal, or Gaussian, distribution has its characteristic bell shape, the power law distribution has its ski-hill shape, and so on. That also applies to sample distributions, but they just are what they are – we don't give them names.
There are a bunch of things you can say about a sample distribution's shape: