Medicine

Medicine is a Fallout 3 skill that replaces the First Aid and Doctor skills from Fallout, Fallout 2 and Fallout Tactics. This skill was called Medic in Van Buren, the cancelled Fallout 3 by Black Isle Studios.

S.P.E.C.I.A.L. Statistic: Intelligence

The higher your Medicine skill, the more Health you replenish when using a Stimpak and any other medicinal item such as Rad-X, RadAway, etc. The exact effect of the Medicine skill is determined by game settings. See the talk page for details.

Medicine in Quests

 * 30 Medicine is required to properly examine the bodies of the West family for the Blood Ties quest in Arefu.
 * 40 Medicine is required to revive Timebomb in Bigtown, which is the only way to get his Lucky 8 Ball.
 * 50 Medicine is required to help a slave in The Mill inside The Pitt. I don't know what is the use of doing so, as you don't even have Karma.
 * 60 Medicine is required to revive Reilly in the Chop Shop in Underworld, which is one of two ways to revive her and start the Reilly's Rangers (quest).
 * The alternative way to revive Reilly is by passing a speech check with Doctor Barrows. The dialog will be available only after examining Reilly first.

Dialog
In certain cases having an average-high Medicine skill can give you extra dialog option, such as talking to the Doctor of Megaton