Sense. To me, center is a statistical concept, not individual concept. For example, if in this country 52% are right, 48% are left, we say this country is center right. Or if 52% are left and 48% are right, it is center left. The center here is a statistical concept.
For a person, let's say he is pro- gun. So, he is right. But he is also pro-choice, so he is also left. Overall, i.e . statistically he is in center.
What does it mean? It means center has no its own idealogy, no its own original thoughts, no clear identity. A centrist is like a parasite, depending on ideas of others.