Precincts range in size from 200 to 5,000 voters. A district's population depends on the office for which candidates are elected.
Generally, a city council district is smaller in population than a state senate or assembly district. A congressional district is larger than a state-level district.
A single precinct might be located in the 2nd Council District, the 15th Assembly District, the 27th State Senatorial district and the 10th Congressional District. The larger the district, the more precincts it contains.
Precincts do not necessarily have their own representatives. Voters choose among candidates running to represent the districts in which the precinct is located.
Not every state or city divides itself into precincts. The smallest vote-gathering areas are sometimes called "election districts," according to the Onecle Court Opinions website.
Don't confuse voter precincts with police precincts. The two rarely share geographical boundaries, and there is no administrative connection between them.