The National Insurance Crime Bureau reported that these data represent the number of registered vehicles per car stolen for 35 selected cities in the United States. For example, in Miami, one automobile is stolen for every 38 registered vehicles in the city, Construct a stem and leaf plot for the data and analyze the distribution. (The data have been rounded to the nearest whole number.)
$\begin{array}{lllllll}38 & 53 & 53 & 56 & 69 & 89 & 94 \\ 41 & 58 & 68 & 66 & 69 & 89 & 52 \\ 50 & 70 & 83 & 81 & 80 & 90 & 74 \\ 50 & 70 & 83 & 59 & 75 & 78 & 73 \\ 92 & 84 & 87 & 84 & 85 & 84 & 89\end{array}$
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Arrange the leaves in order from smallest to largest.
Stems Leaves
3 4 5

Step 1 ：First, we need to sort the data in ascending order. The sorted data is: 38, 41, 50, 50, 52, 53, 53, 56, 58, 59, 66, 68, 69, 69, 70, 70, 73, 74, 75, 78, 80, 81, 83, 83, 84, 84, 84, 85, 87, 89, 89, 89, 90, 92, 94.

Step 2 ：Next, we construct the stem-and-leaf plot. The stem is the tens digit and the leaf is the ones digit. The stem-and-leaf plot is as follows: \begin{tabular}{c|cccccccc} 3&8&9&&&&&&\ 4&1&&&&&&&\ 5&0&0&2&3&3&6&8&9\ 6&6&8&9&9&&&&\ 7&0&0&3&4&5&8&&\ 8&0&1&3&3&4&4&4&5&7&9&9&9\ 9&0&2&4&&&&&\ \end{tabular}

Step 3 ：Since there are 35 data points, the median will be the 18th value when the data is listed from least to most. From the stem-and-leaf plot, we can see that the 18th value is 70.

Step 4 ：So, the median of this data set is \(\boxed{70}\).