The United States is/was a collection of independent state governments. At one point, many state governments selected the electoral college representatives from their states. Until it was amended, states governments chose their senators.
There are political and historical reasons for having the system work this way, much like how the ordering of primaries is a contentious and complicated arrangement.
I feel the original question was more in the line of "Why are US presidential election are not like elections in the many other democratic countries?" and is a huge trivialization of a complicated issue.
Forget or deny to know? For people living in the USA, forgetting that must be quite a challenge; every four years, there's half a year of real reality tv, extensively covered all over the news, to remind them of it.
It's not obvious by any means, that's why I pointed to the reference work on that topic. There are reasons the electoral college was implemented, whether they are still valid of not is a different question entirely.
Furthermore, it's not even clear what the question is. Why it's not elected by the US populous? Because it's the President of the United States being elected, not the President of the people of the United States. Why is it not a direct vote? In part, to make the system resilient to the tyranny of majority which was feared by Founding Fathers.
There is extensive literature on that topic by the designers of the system itself and one cannot summarize it in a HN comment. So if the the Americans the parent was referring to are indeed puzzled by that question there are answers to be found.
Yeah, the entire system is screwed up by this insane electoral college. But majority-rule is insane even on a popular vote. The only good way to elect consensus candidates who serve everyone well is to implement score voting http://scorevoting.net/
Nope STV is not so good, it still falls to Arrow's Impossibility Theorem which applies to every single rank voting system.
Sure, first-past-the-post is horrid, but if you expend political will, time, power, energy, money to reform the voting system, it's a tragedy to replace a horrible system with a bad one when we actually know of a good one. We will not get infinite, costless resources and chances for voting reform.
Several systems work well for electing a good consensus candidate in a single-winner election, including Condorcet, Approval, and various forms of range voting.
Score voting is just another term for range voting. Approval is just score voting with the lowest resolution, effectively. Condorcet can elect a consensus candidate but inherently is worse at this than score/range/approval.
Condorcet is a rank system so Arrow's Impossibility Theorem applies.
Also, being a rank system, there will always be arguments about
interpretation where people can hand-wring over how the outcome would be
different with Borda or IRV or another way to determine the results of a
rank-vote election. Finally, Condorcet always supports
tyranny-of-the-majority rather than consensus. A polarizing candidate with 51%
support and 49% strong disapproval will always win any rank vote, while a
consenus candidate everyone likes can win a score or approval vote.
Effectively, score is range is approval, same basic idea, and ONLY that
idea is simple, clear, zero argument about interpreting results and none of the
pathologies of rank voting. And no, rank voting is NOT able to elect consensus
candidates over polarizing ones in the way score voting does.
I kind of understand the house and senate being more regional representation, but the president kind of represents all Americans, no?