Find the mean, median, and mode of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Rate of Fatal Alcohol Impaired Car Crashes per 100 Million Vehicle Miles of Travel: 0.32, 0.67, 0.69, 0.62, 0.53, 0.49, 0.47, 0.51, 0.72, 0.52, 0.79, 0.55, 0.28, 0.80, 0.62, 0.77, 0.63, 0.47, 0.62, 0.76

Answer

To find the mean, median, and mode, first list all 20 data points from the table: 0.32, 0.67, 0.69, 0.62, 0.53, 0.49, 0.47, 0.51, 0.72, 0.52, 0.79, 0.55, 0.28, 0.80, 0.62, 0.77, 0.63, 0.47, 0.62, 0.76. 1) Mean: Sum all the values and divide by the total number of values (n=20). Sum = 0.32 + 0.67 + 0.69 + 0.62 + 0.53 + 0.49 + 0.47 + 0.51 + 0.72 + 0.52 + 0.79 + 0.55 + 0.28 + 0.80 + 0.62 + 0.77 + 0.63 + 0.47 + 0.62 + 0.76 = 12.04. Mean = 12.04 / 20 = 0.602. 2) Median: Arrange the data in ascending order: 0.28, 0.32, 0.47, 0.47, 0.49, 0.51, 0.52, 0.53, 0.55, 0.62, 0.62, 0.62, 0.63, 0.67, 0.69, 0.72, 0.76, 0.77, 0.79, 0.80. Since there are 20 values (an even number), the median is the average of the 10th and 11th values. 10th value = 0.62, 11th value = 0.62. Median = (0.62 + 0.62) / 2 = 0.62. 3) Mode: The mode is the value that appears most frequently. The value 0.62 appears three times, while 0.47 appears twice. All other values appear once. Mode = 0.62. Summary: Mean = 0.602, Median = 0.62, Mode = 0.62.