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

Vacations:
\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}

What 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 :

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

1. Identify the specific values needed:
- The number of residents in Town 2 who take a summer vacation.
- The total population of all three towns.

From the table provided:
- The number of residents in Town 2 who take a summer vacation is 345.
- The total population of all three towns is 1,402.

2. Calculate the joint relative frequency:
- The formula for joint relative frequency is:
[tex]\[ \text{Joint Relative Frequency} = \left(\frac{\text{Number of specific group}}{\text{Total population}}\right) \times 100 \][/tex]
- Plug in the values:
[tex]\[ \text{Joint Relative Frequency} = \left(\frac{345}{1402}\right) \times 100 \][/tex]

3. Perform the division and multiplication:
- First, perform the division:
[tex]\[ \frac{345}{1402} \approx 0.2461 \][/tex]
- Next, multiply by 100 to convert the decimal to a percentage:
[tex]\[ 0.2461 \times 100 \approx 24.61 \][/tex]

4. Round to the nearest percent:
- The value 24.61 is rounded to the nearest whole number, which is 25.

Thus, the joint relative frequency of residents in Town 2 who take a summer vacation, rounded to the nearest percent, is [tex]\(25\%\)[/tex].

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