Need to add a cmma to the middle sentence, otherwise it looks like a sentence fragment. Better yet, put the "e.g., those counting events such as admissions, deaths, or test performed" in parentheses.

Existing Wording:

count
A count of events that happened, or changes in status, or of things consumed over that period in time (e.g., admissions, deaths, tests performed). Quantity measurements, e.g., those counting events such as admissions, deaths, or test performed represent a count. When aggregated for the same facility over multiple time periods, the population.count values can be summed to produce a count of events or things in the total time period.

Proposed Wording:

count
A count of events that happened, or changes in status, or of things consumed over that period in time (e.g., admissions, deaths, tests performed). Quantity measurements, e.g., those counting events such as admissions, deaths, or test performed, represent a count. When aggregated for the same facility over multiple time periods, the population.count values can be summed to produce a count of events or things in the total time period.