The average salary with a master of health science. Nurse anesthetists, nurse midwives and nurse practitioners all hold master’s degrees and, according to the. Leadership Certificate Program OnlineNursingSchools Below are the average salaries for advanced practice registered nurses, nurse administrators and nurse instructors. Master of health science salary . Depending on the specific area of study, the master of health science (m.h.sc.) degree offers specialization in one of more than 50 different fields including: Association of state and territorial health officials. The average salary for someone with a master of health science is difficult to pin down. Rather, it is one of those degrees that opens all kinds of doors and allows you to walk through any one of them with confidence. At the graduate level, you can earn a master of arts in health education (m.a.), master of science in health education (m.s.) or master of health professions education (mhpe). Epidemiologists ...