SECTION 2.3 Measures of Central Tendency 79 54. Emergency Room Number of classes: 6 Data set: The number of patients visiting an emergency room per day over a two-week period 256 317 237 182 382 106 162 112 162 264 104 194 236 227 55. Heights of Males Number of classes: 5 Data set: The heights (to the nearest inch) of 30 males 67 76 69 68 72 68 65 63 75 69 66 72 67 66 69 73 64 62 71 73 68 72 71 65 69 66 74 72 68 69 56. Six-Sided Die Number of classes: 6 Data set: The results of rolling a six-sided die 30 times 1 4 6 1 5 3 2 5 4 6 1 2 4 3 5 6 3 2 1 1 5 6 2 4 4 3 1 6 2 4 57. Protein Powder During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1525, 1526, 1502, 1516, 1529, and 1511. (a) Find the mean and the median of the contents. (b) The third value was incorrectly measured and is actually 1520. Find the mean and the median of the contents again. (c) Which measure of central tendency, the mean or the median, was affected more by the data entry error? 58. U.S. Trade Deficits The table at the left shows the U.S. trade deficits (in billions of dollars) with 18 countries in 2020. (Source: U.S. Department of Commerce) (a) Find the mean and the median of the trade deficits. (b) Find the mean and the median without the Chinese trade deficit. Which measure of central tendency, the mean or the median, was affected more by the elimination of the Chinese trade deficit? (c) The Austrian trade deficit was $8.2 billion. Find the mean and the median with the Austrian trade deficit added to the original data set. Which measure of central tendency was affected more? Graphical Analysis In Exercises 59 and 60, the letters A, B, and C are marked on the horizontal axis. Describe the shape of the data. Then determine which is the mean, which is the median, and which is the mode. Justify your answers. 59. 14 10 16 18 20 22 24 26 28 ABC Number of days 2 4 6 8 10 16 14 12 Frequency Sick Days Used by Employees 60. 18 14 20 22 24 26 30 16 32 Hourly wage 2 4 6 8 10 16 14 12 Frequency A B C Hourly Wages of Employees U.S. trade deficits (in billions of dollars) China: 310.8 Taiwan: 29.9 Mexico: 112.7 Italy: 29.5 Vietnam: 69.7 Thailand: 26.4 Germany: 57.3 South Korea: 24.8 Switzerland: 56.7 India: 23.8 Ireland: 55.9 France: 15.6 Japan: 55.4 Canada: 15.2 Malaysia: 31.7 Indonesia: 12.8 Russian Federation: 12.0 Denmark: 8.6 TABLE FOR EXERCISE 58
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