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].
