The centipawn is the unit of measure used in chess as measure of the advantage. A centipawn is equal to 1/100 of a pawn. Therefore 100 centipawns = 1 pawn. These values play no formal role in the game but are useful to players, and essentials in computer chess, in order to evaluate positions. -- http://chess.wikia.com/wiki/Centipawn
A perfect move will lose zero centipawn, but lesser moves will result in a deterioration of the position, measured in centipawn.
This value can be used as an indicator of the quality of play. The less centipawns one loses per move, the stronger the play.
These numbers are provided by the computer analysis, which is powered by Stockfish.