The Survey of Earned Doctorates provides data on the length of time in years that it takes to complete a doctorate. Each data point is the mean time for one university. 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 frequency 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?

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