The American Statistical Association and the Mathematical Association of America published a joint statement on the qualifications that a college teacher would need in order to teach an introductory statistics course for undergraduate students. This is an issue in many Mathematics Departments which might need to teach such a class but would not be big enough to have a degreed Statistician. A minimum amount of course work is needed, but also practical experience with data analysis, which might come from “advanced courses, projects, consulting, or research.”
American Statistical Association, Mathematical Association of America. “Qualifications for Teaching an Introductory Statistics Course.” Available at http://www.amstat.org/education/pdfs/TeachingIntroStats-Qualifications.pdf.