792 CHAPTER 12 Statistics In Exercises 23–26, determine the midrange. 23. 6, 8, 12, 13, 11, 13, 15, 17 11.5 24. 2, 2, 6, 6, 16, 8, 22, 26, 29 15.5 25. 20, 40, 10, 35, 18, 12, 400 205 26. 8, 12, 35, 54, 27, 23, 23 31 In Exercises 27–31, determine Q Q, , 1 2 and Q .3 27. 3, 7, 11, 28, 32, 36, 43, 47, 49, 50, 52 Q Q Q 11, 36, 49 1 2 3 = = = 28. 25, 27, 31, 32, 33, 48, 48, 50, 53, 55, 61, 62, 83, 100, 300 Q Q Q 32, 50, 62 1 2 3 = = = 29. 235, 327, 782, 250, 392, 500, 602, 550, 623, 395 Q Q Q 327, 447.5, 602 1 2 3 = = = 30. 25, 47, 18, 42, 36, 51, 55, 38 Q Q Q 30.5, 40, 49 1 2 3 = = = Problem Solving For Exercises 31–58, where appropriate, round your answer to the nearest tenth. 31. Basketball Scores In the last 10 games of the 2023 season, the Syracuse University women's basketball team scored the following points: 82, 72, 84, 58, 77, 65, 64, 75, 79, 64. Determine the mean, median, mode, and midrange. 72, 73.5, 64, 71 32. Daily Tips The amount of money Stephanie collected in tips in each of seven days is $51, $70, $54, $28, $105, $64, $83. Determine the mean, median, mode, and midrange. $65, $64, none, $66.50 33. Change in the Data The mean is the “most sensitive” average because it is affected by any change in the data. a) Determine the mean, median, mode, and midrange for 1, 2, 3, 5, 5, 7, 11. 4.9, 5, 5, 6 b) Change the 7 to 10 in part (a). Determine the mean, median, mode, and midrange. 5.3, 5, 5, 6 c) Which averages were affected by changing the 7 to 10? Only the mean d) Which averages will be affected by changing the 11 to 10 in part (a)? The mean and the midrange 34. Change in the Data a) Determine the mean, median, mode, and midrange for 16, 26, 27, 27, 29, 31, 33, 39. 28.5, 28, 27, 27.5 b) Change the 33 in part (a) to 37. Determine the mean, median, mode, and midrange. 29, 28, 27, 27.5 c) Which average(s) were affected by changing the 33 to 37? Only the mean d) Which average(s) will be affected by changing the 39 to 38 in part (a)? The mean and midrange 35. Employee Salaries The salaries of 10 employees of a small company follow. $37,000 $73,000 $34,000 $33,000 $40,000 $36,000 $35,000 $90,000 $35,000 $38,000 Determine the a) mean. $44,800 b) median. $36,500 c) mode. $35,000 d) midrange. $61,500 e) If the employees wanted to demonstrate the need for a raise, which average would they use to show they are being underpaid: the mean or the median? Explain. The median because it is lower f) If the management did not want to give the employees a raise, which average would they use: the mean or the median? Explain. The mean because it is higher 36. House Prices The prices of 9 houses sold in a neighborhood follow. $185,000 $220,000 $209,000 $210,000 $510,000 $195,000 $200,000 $188,000 $198,000 Determine the a) mean. $235,000 b) median. $200,000 c) mode. no mode d) midrange. $347,500 e) Which measure of central tendency, the mean or the median, best represents the typical price of the houses sold? The median because the extreme price of $510,000 inflates the mean Syracuse University m Alaina Rice $ DS DS $ $ DS
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