Frequency tables, histograms, and the Survey of Earned Doctorates: The Survey of Earned Doctorates regularly assesses the numbers and types of doctorates awarded at U.S. universities. It also provides data on the length of time in years that it takes to complete a doctorate. Below is a modified list of this completion time data, truncated to whole numbers and shortened to make your analysis easier. These data have been collected every 5 years since 1982.

a. Create a frequency table for these data. 

b. How many schools have an average completion time of 8 years or less? 

c. Is a grouped fr equency table necessary? Why or why not? 

d. Describe how these data are distributed. 

e. Create a histogram for these data.

f. At how many universities did students take, on average, 10 or more years to complete their doctorates?

Transcribed Image Text:

8 87 6 7 7 88 7 777 8 88 7 6. 6 6 8. 6 6 7 6 67 7 76 11 13 15 15 14 12 9 10 10 9 9 9