Average Health Science Salaries. The average salary for health science jobs is $54,000. Average health science salaries can vary greatly due to company, location, industry, experience and benefits.This salary was calculated using the average salary for all jobs with the term health science anywhere in the job listing.verage health science salaries can vary greatly due to company, location, industry, experience and benefits. This salary was calculated using the average salary for all jobs with the term health science anywhere in the job listing.