The institute said there were 36,986 confirmed coronavirus cases in the province and 2,786 deaths.
The institute offered no explanation for why women were more affected than men, but a large majority of nurses and caregivers of the elderly are women.
The age group most affected by the virus was 30 to 49-year olds, who accounted for 28 percent of those infected.
People between the ages of 80 and 89 accounted for 40 percent of the deaths, followed by 33.4 percent among people 90 and older.
According to the institute, Quebec has a death rate of 326 per million inhabitants, placing it behind Spain (566), Italy (500) and the United Kingdom (465), but ahead of Canada as a whole (124).
As of Sunday, Canada recorded 68,952 COVID-19 cases and 4,824 deaths, according to data by Johns Hopkins University.