Final answer:
Centenarians studied at BU medical center have higher levels of education and socioeconomic status, followed a low fat, vegetable-based diet, and displayed certain characteristics such as a lean physique and early childbirth for women.
Step-by-step explanation:
The characteristics that centenarians studied at BU medical center have in common include higher levels of education and average to high levels of socioeconomic status overall, following a low fat, vegetable-based diet for a large part of their lives, and lean physique with rare substantial smoking history for male centenarians. Additionally, many centenarian women have a history of bearing children early, before the age of 32 years.