The present paper examines the difficulties Greek senior high school students identify in learning Statistics and how these difficulties are related to the course's level of difficulty. Also it examines the difficulties students identify that teachers face while teaching Statistics, their suggestions for changes and how these difficulties and suggestions are related to the level of the students' satisfaction by the method of teaching. In the paper a case-study is presented, that was designed and realized at the Department of Statistics and Insurance Sciences of the University of Piraeus. In the study 163 students from Experimental and Private High Schools participated, all attending the 3rd grade of Greek senior high school. (Contains 2 tables and 10 figures.)