What does administer mean?
The definition of administer
Ad*min”is*ter, v. t.
[imp. & p. p. Administered; p. pr. & vb. n.Administering.]
Etym: [OE. aministren, OF. aministrer, F. administer, fr. L. administrare; ad + ministrare to serve. See Minister.]

1 To manage or conduct, as public affairs; to direct or superintend the execution, application, or conduct of; as, to administer the government or the state. For forms of government let fools contest: Whate’er is best administered is best. Pope.
2 To dispense; to serve out; to supply; execute; as, to administer relief, to administer the sacrament. [Let zephyrs] administer their tepid, genial airs. Philips. Justice was administered with an exactness and purity not before known. Macaulay.
3 To apply, as medicine or a remedy; to give, as a dose or something beneficial or suitable. Extended to a blow, a reproof, etc. A noxious drug had been administered to him. Macaulay.
4 To tender, as an oath. Swear . . . to keep the oath that we administer. Shak.
5 (Law)
To settle, as the estate of one who dies without a will, or whose will fails of an executor.

Synonyms
— To manage; conduct; minister; supply; dispense; give out; distribute; furnish.

Ad*min”is*ter, v. i.
1 To contribute; to bring aid or supplies; to conduce; to minister. A fountain . . . administers to the pleasure as well as the plenty of the place. Spectator.
2 (Law)
To perform the office of administrator; to act officially; as, A administers upon the estate of B.
Ad*min”is*ter, n.
Administrator. [Obs.] Bacon.