Question: Use the data from Exercise to determine the first and third quartiles for this set of observations.
Exercise: The National Survey of Student Engagement asked U.S. students how often they asked questions in class or participated in classroom discussions. The options were "never," "sometimes," "often," and "very often." Here are the percentages, reported in 2005, of students who responded "very often" for the 31 institutions classified as liberal arts colleges that allowed their 2004 data to become public through the U.S. News & World Report Web site.
a. What is the range of these data?
b. The top college is Marlboro College in Vermont, and the two tied for lowest are Randolph-Macon Women's College in Virginia and Texas A&M University in Galveston. What research questions do these data suggest to you? State at least one research question generated by these data.