109 SECTION 4.1 | Measures of Central Tendency EXERCISE SET 4.1 In Exercises I to 10, find the mean, median, and mode(s), ny for the given data. Round noninteger means to the 15. Dental Schools Dental schools provide urban statis- tics to their students. nearest tenth. 1. 2, 7. 5, 7, 14 7,7,7 2. 8, 3. 3, 17, 9, 22, 19 3,11.3, 9 3. 11, 8. 2. 5. 17, 39, 52, 42 4. 101. 88. 74, 60, 12, 94, 74, 8s 5. 2.1. 4.6. 8.2, 3.4, 5.6, 8.0, 9.4, 12,2, 56.1, 78,2 6. 5, 5, 5, 5, 5. 5, 5, 5, 5, 5, 5, 5 7. 255, 178. 192, 145, 202, 188, 178, 201 8. I18, 105, 110, 118, 134, 155. 166, 166, 118 9. -12, -8. -5, -5, -3, 0, 4, 9, 21 10. -8.5, -2.2, 4.1, 4.1, 6.4, 8.3, 9.7 . Use the following data to decide which of the two cities you would pick to set up your practice in. Median price of a home, $167,000 Dentists, 12: median age, 49 Mean number of patients, 1294.5 Cloverdale: Population, 18.250 Barnbridge: Population, 27.840 Median price of a home, $204,400 Dentists, 17.5; median age, 53 Mean number of patients, 1148.7 b. Explain how you made your decision. If exactly one number in a set of data is changed, will this necessarily change the mean of the set? Explain. A salesperson records the fol- lowing daily expenditures during a 10-day trip. $211.86 $147.65 $205.60. $88.12 11. a. 16, Expense Reports $185.34 $234.55 If exactly one number in a set of data is changed, will this necessarily change the median of the set? Explain. If a set of data has a mode, then must the mode be one of the numbers in the set? b. $216.74 $1345.75 $184.16 $320.45 In your opinion, does the mean or the median of the expenditures best represent the salesperson's average daily expenditure? Explain your reasoning. Grade Point Average In some 4.0 grading systems, a student's grade point average (GPA) is calculated by assigning letter grades the following numerical values. B- = 2.67 C+ 2.33 2.00 12. Explain. Academy Awards The following table displays the ages of female actors when they starred in their Oscar-winning Best Actor performances. 13. A -4.00 A- - 3.67 B+ = 3.33 D+ = 1.33 %3D = 1.00 C = C- = 1.67 D- - 0.67 B. = 3.00 = 0.00 Ages of Best Female Actor Award Recipients, Academy Awards, 1980-2015 - In Exercises 17 to 20, use the above grading system to find cach student's GPA. Round to the nearest hundredth. 41 33 31 74 33 49 38 61 21 41 26 80 17. Jerry's Grades, Fall Semester 42 29 33 36 45 49 39 34 26 25 33 35 35 28 30 29 61 32 33 45 66 25 46 55 Course Course Course grade units Find the mean and the median for the data in the table. English Round to the nearest tenth. Anthropölogy A. Academy Awards The following table dis- plays the ages of male actors when they stared in their Oscar-winning Best Actor performances. 14. Chemistry French C+ Theatre B- 2. Ages of Best Male Actor Award Recipients. Academy Awards, 1980-2015 18. Rhonda's Grades, Spring Semester 40 42 37 76 39 53 45 36 62 43 51 32 Course Course 42 54 52 37 38 32 45 60 46 40 36 47 Course grade units 29 43 37 38 45 50 48 60 43 58 46 33 English History D+ Find the mean and the median for the data in the table. Round to the nearest tenth. Computer science B+ Calculus B- Photography A-