Answer :
To find the joint relative frequency of residents in Town 2 who take a summer vacation, we need to follow these steps:
1. Identify the number of residents in Town 2 who take a summer vacation. From the provided table, this value is \( 345 \).
2. Determine the total number of residents polled across all towns for either summer or winter vacations. The total number of residents polled is \( 1,402 \).
3. Calculate the joint relative frequency by dividing the number of residents in Town 2 who take a summer vacation by the total number of residents polled, then multiplying the result by 100 to convert it to a percentage.
[tex]\[ \text{Joint relative frequency} = \left(\frac{345}{1,402}\right) \times 100 \][/tex]
4. Use the result to get the unrounded percentage. Here, the joint relative frequency is approximately \( 24.6077 \%\).
5. Round this result to the nearest percent:
[tex]\[ \text{Rounded joint relative frequency} = 25\% \][/tex]
So, the joint relative frequency of those in Town 2 who take a summer vacation is [tex]\( \boxed{25\%} \)[/tex].
1. Identify the number of residents in Town 2 who take a summer vacation. From the provided table, this value is \( 345 \).
2. Determine the total number of residents polled across all towns for either summer or winter vacations. The total number of residents polled is \( 1,402 \).
3. Calculate the joint relative frequency by dividing the number of residents in Town 2 who take a summer vacation by the total number of residents polled, then multiplying the result by 100 to convert it to a percentage.
[tex]\[ \text{Joint relative frequency} = \left(\frac{345}{1,402}\right) \times 100 \][/tex]
4. Use the result to get the unrounded percentage. Here, the joint relative frequency is approximately \( 24.6077 \%\).
5. Round this result to the nearest percent:
[tex]\[ \text{Rounded joint relative frequency} = 25\% \][/tex]
So, the joint relative frequency of those in Town 2 who take a summer vacation is [tex]\( \boxed{25\%} \)[/tex].
