Problem

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.
\begin{tabular}{|l|l|l|l|l|}
\hline \multicolumn{5}{|c|}{$\begin{array}{c}\text { Rate of Fatal Alcohol Impaired } \\
\text { Car Crashes per } 100 \text { Million } \\
\text { Vehicle Miles of Travel }\end{array}$} \\
\hline 0.34 & 0.70 & 0.31 & 0.57 & 0.66 \\
\hline 0.73 & 0.52 & 0.74 & 0.53 & 0.69 \\
\hline 0.51 & 0.73 & 0.76 & 0.51 & 0.68 \\
\hline 0.44 & 0.57 & 0.75 & 0.53 & 0.36 \\
\hline
\end{tabular}
Answer
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Mean:
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Mode:
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Answer

Final Answer: The mean is \(\boxed{0.582}\), the median is \(\boxed{0.57}\), and the mode is \(\boxed{0.57}\).

Steps

Step 1 :First, we need to arrange the data in ascending order: 0.31, 0.34, 0.36, 0.44, 0.51, 0.51, 0.52, 0.53, 0.53, 0.57, 0.57, 0.66, 0.68, 0.69, 0.70, 0.73, 0.73, 0.74, 0.75, 0.76.

Step 2 :To find the mean, we add up all the numbers and then divide by the number of numbers. The mean is \(\frac{0.31+0.34+0.36+0.44+0.51+0.51+0.52+0.53+0.53+0.57+0.57+0.66+0.68+0.69+0.70+0.73+0.73+0.74+0.75+0.76}{20} = 0.582\).

Step 3 :The median is the middle number in a sorted list of numbers. Since we have 20 numbers, the median is the average of the 10th and 11th numbers. So, the median is \(\frac{0.57+0.57}{2} = 0.57\).

Step 4 :The mode is the number that appears most frequently. In this case, the number 0.57 appears twice, which is more than any other number. So, the mode is 0.57.

Step 5 :Final Answer: The mean is \(\boxed{0.582}\), the median is \(\boxed{0.57}\), and the mode is \(\boxed{0.57}\).

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