2.29 Frequency tables, histograms, and the National Survey of Student Engagement: The National Survey of Student Engagement (NSSE) surveys U.S. first-year university students and seniors about their level of engagement in campus and classroom activities that enhance learning. Hundreds of thousands of students at almost 1000 schools have completed surveys since 1999, when the NSSE was first administered. Among the many questions, students are asked how often they have been assigned a paper of 20 pages or more during the academic year. For a sample of 19 institutions classified as national universities that made their data publicly available through the U.S. News & World Report Web site, here are the percentages of students who said they were assigned between 5 and 10 twenty-page papers: 0 5 3 3 1 10 2 2 3 1 2 4 2 1 1 1 4 3 5

a. Create a frequency table for these data. Include a third column for percentages.

b. For what percentage of these schools did exactly 4% of the students report that they wrote between 5 and 10 twenty-page papers that year?

c. Is this a random sample? Explain your answer.

d. Create a histogram of grouped data, using six intervals.

e. In how many schools did 6% or more of the students report that they wrote between 5 and 10 twenty-page papers that year?

f. How are the data distributed?