1- Days on the market are shown for the 36 most recent home sales in the city of Sonando Hills. 156 80 118 67 46 177 155 102 127 131 119 128 98 107 126 125 100 114 26 8 16 94 94 178 46 58 99 169 269 65 152 55 52 33 46 122 (a) Calculate the mean, median, and mode. (Round your answers to 2 decimal places.) (b) Is the distribution skewed? Yes, the distribution is skewed left. o No, the distribution is symmetric. Yes, the distribution is skewed right. (c) Is the mode a useful measure of center for this data set? o Yes No 2- Caffeine content in a 5-ounce cup of brewed coffee ranges from 60 to 180 mg, depending on brew time, coffee bean type, and grind. (a) Use the midrange to estimate the measure of center. (b) Use the Empirical Rule to estimate the standard deviation. (c) Why is the assumption of a normal, bell-shaped distribution important in making these estimates? Because we can estimate the mean with the midrange. Because we can estimate the mean with the standard deviation. Because we can estimate the standard deviation with the median. 3- Exam scores in a small class were 10, 10, 20, 20, 40, 60, 80, 80, 90, 100, 100. For this data set, which statement is incorrect concerning measures of center? The median is 60.00. o The mode is not helpful. The 5 percent trimmed mean would be awkward. The geometric mean is 35.05. 4- Calculate the median for the following data: Marks Number of students 0-10 20-30 30-60 60-80 80-90 60 20 37 10 7 5- The frequency distribution for the list prices is given here. Determine the standard deviation of the listed prices. List Price Frequency ($ thousands) $250 to under $375 33 375 to under 500 41 500 to under 625 11 625 to under 750 5 750 to under 875 4 875 to under 1000 1 1000 to under 1125 1 Total 96