Real Dictionary

administer
verb: If a doctor or a nurse administers a drug, they give it to a patient.
verb: If someone administers a punch or a kick, they punch or kick someone.
verb: If someone administers something such as a country, the law, or a test, they take responsibility for organizing and supervising it.

administer in American English
to act as manager or administrator
to manage or direct (the affairs of a government, institution, etc.)
intransitive verb: to contribute assistance; bring aid or supplies
transitive verb: to manage (affairs, a government, etc.); have executive charge of

administer in British English
to direct or control (the affairs of a business, government, etc)