I will admit that I don't consider myself an expert or a spokesperson for Objectivism (that is why, as a person who cares about Objectivism, I support people who I think truly understand and advance Objectivist Ideas like The Objective Standard, The Undercurrent and Just Right Media). However, being an active Objectivist for three years, I have some opinion about who the average Objectivist is.
The average Objectivist does not mean the most rational Objectivist, or the person who understands Objectivist the best, or necessarily shares my views. It only means the most common person who can be called an Objectivist (not just someone who calls themselves an Objectivist). So, in my experience, these are the common qualities of the average Objectivist:
-Has read all of Rand's fiction (who could be an Objectivist and have only read Atlas, but I think anybody truly interested in Rand's ideas is interested in reading at least all of her fiction).
-Does not call him/herself a Libertarian, Conservative or Liberal, or any other political label. But if he or she calls him/herself anything, It would be Classical Liberal.
-Admires free-market economists like Mises and Hayek, but rejects the Subjectivist, rationalist or empiricist elements of their Ideas.
-Does not support Clinton or Trump (could also be said for the average sane human being). But will probably vote for one or the other rather than "waste" their vote on a third party or independent candidate that they do not fully support anyways.
-Follows the ARI and Peikoff, but has no opinion of or is ignorant about the Peikoff/Kelley dispute, "open" objectivism, tolerance as a virtue, or the Atlas Society.
-Supports alternative right wing media such as Rebel Media in Canada or Breitbart in the United States.
-Believes that the Iran Deal was a mistake and that Iran is the West's major enemy.
-Supports Israel as the only true western-style nation in the middle east, while rejecting Zionist or Religionist views of Israel. -Engages with Libertarians, Conservatives and Libertarian or Conservative organizations while being careful not to sanction their irrational views.
-Opposes Islam and multiculturalism.
I could add much more, but I think these points paint a good enough picture of who I think the average Objectivist is.