4.37 Shown here are the number of auto accidents per year for every 1000 people in each of 40 occupations

(Knight Ridder Tribune, June 19, 2004):

Occupation Accidents per 1000 Occupation Accidents per 1000 Student 152 Banking, finance 89 Physician 109 Customer service 88 Lawyer 106 Manager 88 Architect 105 Medical support 87 Real estate broker 102 Computer-related 87 Enlisted military 99 Dentist 86 Social worker 98 Pharmacist 85 Manual laborer 96 Proprietor 84 Analyst 95 Teacher, professor 84 Engineer 94 Accountant 84 Consultant 94 Law enforcement 79 Sales 93 Physical therapist 78 Military officer 91 Veterinarian 78 Nurse 90 Clerical, secretary 77 School administrator 90 Clergy 76 Skilled laborer 90 Homemaker 76 Librarian 90 Politician 76 Creative arts 90 Pilot 75 Executive 89 Firefighter 67 Insurance agent 89 Farmer 43

a. Would you recommend using the standard deviation or the iqr as a measure of variability for this data set?

b. Are there outliers in this data set? If so, which observations are mild outliers? Which are extreme outliers?

c. Draw a modifi
ed boxplot for this data set.

d. If you were asked by an insurance company to decide which, if any, occupations should be offered a professional discount on auto insurance, which occupations would you recommend? Explain.