"Observation scores" refers to a rating or measurement given to someone based on how well they have been observed or assessed. It basically indicates how they performed or behaved during the observation.
The total points a teacher receives is based a combination of measures, such as classroom observation scores and student test scores. (edwp.educ.msu.edu)
Officials have made several other changes to the system, including giving teachers the opportunity to have their lowest observation score dropped. (politico.com)
The combination of gravitational waves and electromagnetic observations scored at least three significant advances. (sciencemag.org)