In this introductory course from UC Irvine, Michael C. Cranston lays out the basics of probabilities and statistics. The focus of the course is on mathematics of probabilities and statistics. Statistics, as it is usually defined, is a study of the collection, organization, analysis, interpretation and presentation of data. Nowadays it plays an important roles in experimental sciences, mathematics, sociology, biology, economics and many other fields. This course takes a mathematically rigorous approach to statistics, so an experience in undergraduate level maths would definitely be useful. For more free physics and math lectures from UC Irvine, check out this link.