Final answer:
The mandible is the bone that does not belong with the frontal, temporal, and occipital bones as it is the only movable bone of the skull and a facial bone, whereas the others are immobile cranial bones of the brain case.
Step-by-step explanation:
The bone that does not belong to the group consisting of the mandible, frontal bone, temporal bone, and occipital bone is the mandible. While the frontal bone, temporal bone, and occipital bone are part of the eight cranial bones making up the brain case, the mandible is a facial bone and the only movable bone of the skull. It forms the lower jaw and contains sockets for the lower teeth, contrasting with the immobility of cranial bones.