Here are the data about part-time employment for 15 randomly selected high school students:

\begin{tabular}{|c|c|c|}
\hline
babysitter & lifeguard & food service \\
\hline
food service & retail & food service \\
\hline
retail & food service & retail \\
\hline
food service & lifeguard & retail \\
\hline
retail & lifeguard & food service \\
\hline
\end{tabular}

\begin{tabular}{|c|c|}
\hline
\multicolumn{2}{|c|}{Frequency Table} \\
\hline
Employment & Frequency \\
\hline
babysitter & A \\
\hline
food service & B \\
\hline
lifeguard & C \\
\hline
retail & D \\
\hline
\end{tabular}

Use the data to determine the missing values in the frequency table.

[tex]\[
\begin{array}{l}
A = \\
B = \\
C = \\
D =
\end{array}
\][/tex]



Answer :

To determine the missing values in the frequency table, we need to count the occurrences of each type of part-time employment from the provided data.

Let's go through the data step by step and count the frequency of each employment type:

1. The list of employment types for the 15 high school students is:
- babysitter
- lifeguard
- food service
- food service
- retail
- food service
- retail
- food service
- retail
- food service
- lifeguard
- retail
- retail
- lifeguard
- food service

2. Count for each employment type:
- babysitter: 1 occurrence
- food service: 6 occurrences
- lifeguard: 3 occurrences
- retail: 5 occurrences

Using these counts, we fill in the frequency table as follows:

[tex]\[ \begin{array}{l} A = 1 \\ B = 6 \\ C = 3 \\ D = 5 \end{array} \][/tex]

So, the final frequencies are:
- [tex]\(A = 1\)[/tex]
- [tex]\(B = 6\)[/tex]
- [tex]\(C = 3\)[/tex]
- [tex]\(D = 5\)[/tex]