The residents of three towns were polled to find the percentage of residents who take a vacation in the summer or in the winter.

\begin{tabular}{|c|c|c|c|}
\hline
& Summer & Winter & Total \\
\hline
Town 1 & 567 & 87 & 654 \\
\hline
Town 2 & 345 & 102 & 447 \\
\hline
Town 3 & 143 & 158 & 301 \\
\hline
Total & 1,055 & 347 & 1,402 \\
\hline
\end{tabular}

Which is the joint relative frequency of those in Town 2 who take a summer vacation? Round the answer to the nearest percent.

A. 7\%



Answer :

To determine the joint relative frequency of those in Town 2 who take a summer vacation, we follow these steps:

1. Identify the number of residents in Town 2 who take a summer vacation:
According to the given data, 345 residents of Town 2 take a summer vacation.

2. Determine the total population across all towns:
The total population is given as 1,402.

3. Calculate the joint relative frequency:
The joint relative frequency is found by dividing the number of residents in Town 2 who take a summer vacation by the total population, and then multiplying by 100 to get a percentage.
[tex]\[ \text{Joint Relative Frequency} = \left( \frac{\text{Number of Town 2 residents taking a summer vacation}}{\text{Total Population}} \right) \times 100 \][/tex]
[tex]\[ \text{Joint Relative Frequency} = \left( \frac{345}{1402} \right) \times 100 \][/tex]
This yields a joint relative frequency of approximately 24.61%.

4. Round the joint relative frequency to the nearest whole number:
Rounding 24.61% to the nearest whole number gives us 25%.

Therefore, the joint relative frequency of those in Town 2 who take a summer vacation, rounded to the nearest percent, is 25%.