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The table shows the frequencies for the data from the previous task about part-time employment for 15 randomly selected high school students. Use the information to complete the relative frequency column of the table. Express answers as percentages rounded to the nearest whole number.

[tex]\[
\begin{tabular}{|c|c|c|}
\hline
Employment & Frequency & \begin{tabular}{c}
Relative \\
Frequency
\end{tabular} \\
\hline
babysitter & 1 & 7\% \\
\hline
food service & 6 & 40\% \\
\hline
lifeguard & 3 & A \\
\hline
retail & 5 & B \\
\hline
\end{tabular}
\][/tex]

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



Answer :

GinnyAnswer
To determine the relative frequencies for the categories "lifeguard" and "retail" from the table, follow these steps:

1. Understand the context: We know that the total number of students is 15. The relative frequency is calculated as the ratio of the frequency of a particular category to the total number of students, expressed as a percentage.

2. Calculate Relative Frequency for Lifeguard:
- Frequency of lifeguard positions: 3
- Total students: 15
- Relative frequency (as a percentage) = (Frequency of lifeguard positions / Total students) × 100
- Relative frequency ≈ (3 / 15) × 100
- Relative frequency ≈ 20%

3. Calculate Relative Frequency for Retail:
- Frequency of retail positions: 5
- Total students: 15
- Relative frequency (as a percentage) = (Frequency of retail positions / Total students) × 100
- Relative frequency ≈ (5 / 15) × 100
- Relative frequency ≈ 33%

Now we can fill out the table:

[tex]\[ \begin{array}{|c|c|c|} \hline Employment & Frequency & \begin{tabular}{c} Relative \\ Frequency \end{tabular} \\ \hline babysitter & 1 & 7 \% \\ \hline food service & 6 & 40 \% \\ \hline lifeguard & 3 & 20 \% \\ \hline retail & 5 & 33 \% \\ \hline \end{array} \][/tex]

So, the values are:

[tex]\[ \begin{array}{l} A = 20 \\ B= 33 \\ \end{array} \][/tex]

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