Use StatCrunch with the vehicle counts to the right observed during a survey of a student parking lot. Complete parts a through c below.
\begin{tabular}{l|c}
Category of vehicle & Frequency \\
\hline American cars & 32 \\
Japanese cars & 25 \\
English cars & 4 \\
Other European cars & 11 \\
Motorcycles & 8
\end{tabular}
a. Make a frequency table for the data. Include columns for relative and cumulative frequencies, and include a row at the bottom listin Complete the frequency table below
\begin{tabular}{lccc}
Category of vehicle & Frequency & \begin{tabular}{c}
Relative \\
Frequency
\end{tabular} & \begin{tabular}{c}
Cumulative \\
Frequency
\end{tabular} \\
\hline American cars & 32 & $40 \%$ & 32 \\
Japanese cars & 25 & $20 \%$ & \\
English cars & 4 & & \\
Other European cars & 11 & & \\
Motorcycles & 8 & & \\
\hline Total & & & \\
(Type integers or decimals.)
\end{tabular}

Step 1 ：First, calculate the total frequency, which is the sum of all the frequencies. In this case, the total frequency is 80.

Step 2 ：Next, calculate the relative frequency for each category by dividing the frequency of each category by the total frequency. The relative frequencies are 40%, 31.25%, 5%, 13.75%, and 10% for American cars, Japanese cars, English cars, Other European cars, and Motorcycles respectively.

Step 3 ：Then, calculate the cumulative frequency by adding up the frequencies as we move down the table. The cumulative frequencies are 32, 57, 61, 72, and 80 for American cars, Japanese cars, English cars, Other European cars, and Motorcycles respectively.

Step 4 ：Finally, fill in the frequency table with the calculated values. The completed frequency table is: \begin{tabular}{lccc} Category of vehicle & Frequency & \begin{tabular}{c} Relative \ Frequency \end{tabular} & \begin{tabular}{c} Cumulative \ Frequency \end{tabular} \\ \hline American cars & 32 & $40 \%$ & 32 \\ Japanese cars & 25 & $31.25 \%$ & 57 \\ English cars & 4 & $5 \%$ & 61 \\ Other European cars & 11 & $13.75 \%$ & 72 \\ Motorcycles & 8 & $10 \%$ & 80 \\ \hline Total & 80 & $100 \%$ & 80 \\ \end{tabular}

Step 5 ：\(\boxed{\text{The completed frequency table is:}}\) \begin{tabular}{lccc} Category of vehicle & Frequency & \begin{tabular}{c} Relative \ Frequency \end{tabular} & \begin{tabular}{c} Cumulative \ Frequency \end{tabular} \\ \hline American cars & 32 & $40 \%$ & 32 \\ Japanese cars & 25 & $31.25 \%$ & 57 \\ English cars & 4 & $5 \%$ & 61 \\ Other European cars & 11 & $13.75 \%$ & 72 \\ Motorcycles & 8 & $10 \%$ & 80 \\ \hline Total & 80 & $100 \%$ & 80 \\ \end{tabular}