The word objectivity admits at least two related meaning in philosophy.
To say that an entity exists objectively means that its existence and nature do not depend on anyone's awareness of it. The table at which I am sitting exists "objectively" because it would still exist and it would still be what it is even if no one were aware of it.
Objectivity as an epistemic virtue is a person's recognition that things exist independently of anyone's awareness of them; they are not just in our heads and therefore just what we make them. Such objectivity is generally regarded as essential to science, to philosophy, and to justice. (See scientific method.) When a lawyer assessing the fitness of a potential juror asks "Can you be objective in judging the facts of this case?", it is this sense of the word objectivity that is being used.
"Objectivity" should not be confused with Objectivism.