"have diverse backgrounds" is a correct and usable phrase in written English.
You could use it to describe a group of people who come from different cultural, economic, or educational backgrounds. For example: "The members of the city council all have diverse backgrounds and bring a unique perspective to their discussions."
Suspects in the recent rash of cases have diverse backgrounds.
My fellow students have diverse backgrounds, including in automotive engineering, architecture, law, human resources, the non-profit sector, and provincial and federal government.
They also have diverse backgrounds in terms of undergraduate study, and they learn much from each other.
Members of these groups have diverse backgrounds and sometimes are open to others who would like to participate.
On the other hand bonding social capital is an effect of long terms relationships with few intimate connections that may not have diverse backgrounds.
The scholars studying ethical issues in technology have diverse backgrounds (e.g., philosophy, STS, TA, law, political science) and they do not always consider themselves (primarily) ethicists of technology.
Instructors have diverse background and varying talents in terms of teaching skills, degree of emphasis and approach of teaching.
Although debriefing meetings suggest that participating friends had diverse backgrounds, we consider the lack of a broader audience in our studies a threat to construct validity.
Triangulation of data to better understand the case was performed by the principal investigators who had diverse backgrounds (FL, a practicing family physician who covers home care for a medical group, DS, a nurse-educator and NB, a health manager in the primary care organization) and the research coordinator (HR).
Researchers from France have diverse educational backgrounds, for example coming from universities or engineering schools.
To ensure trustworthiness, they were also required to have diverse knowledge backgrounds for triangulation purposes (Lincoln and Guba 1985).
