Question 5 of 5

A community activist is gathering data to support an initiative to have a traffic light constructed at a busy intersection near a school. On average, 100 vehicles pass through the intersection daily during the time when students are traveling to school. The initiative for the traffic light is based on promoting safety, as supporters feel vehicles pass through the intersection at dangerously high speeds.

The activist wants to know the average speed at which vehicles pass through the intersection during this critical time. He randomly picked 20 vehicles during the time when students are traveling to school, assuming that these 20 vehicles accurately represented all vehicles that pass through the intersection during the critical time. He recorded their speed as they passed through the intersection with a radar speed gun. The speeds collected, given in miles per hour, are shown in the table below.

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
\hline \multicolumn{8}{|c|}{Speeds (miles per hour)} \\
\hline 32 & 20 & 41 & 38 & 35 & 28 & 25 & 18 & 30 & 27 \\
\hline 31 & 15 & 35 & 37 & 32 & 28 & 25 & 33 & 32 & 30 \\
\hline
\end{tabular}

Can the approximate speed for all of the cars that pass through the intersection during this critical time be calculated from the given data? If so, calculate it. Non-integer answers should be rounded to the nearest tenth. If no assumption can be made, type [tex]$0^{-5}$[/tex] in the box.

The approximate speed for all of the cars that pass through the intersection during this critical time is [tex]\square[/tex] miles per hour.