To find the joint relative frequency of residents in Town 2 who take a summer vacation, follow these steps:
1. Identify the relevant data: From the table, note the number of Town 2 residents who take a summer vacation and the total number of residents in Town 2.
- Town 2 residents who take a summer vacation: 345
- Total residents in Town 2: 447
2. Calculate the joint relative frequency: Use the formula for joint relative frequency, which is the ratio of the subgroup to the overall group, multiplied by 100 to convert it to a percentage.
[tex]\[
\text{Joint Relative Frequency} = \left( \frac{\text{Number of summer vacationers in Town 2}}{\text{Total number of residents in Town 2}} \right) \times 100
\][/tex]
Substituting in the numbers:
[tex]\[
\text{Joint Relative Frequency} = \left( \frac{345}{447} \right) \times 100
\][/tex]
3. Interpret the result: The result of this division is 77.18120805369128%.
4. Round to the nearest percent: To give a rounded percentage, we round 77.18120805369128 to the nearest whole number, which is 77%.
Thus, the joint relative frequency of those in Town 2 who take a summer vacation, rounded to the nearest percent, is 77%.
