To determine the marginal relative frequency for students who plan to attend college, follow these steps:
1. Identify the total number of students surveyed. From the provided table:
[tex]\[
\text{Total number of students} = 82
\][/tex]
2. Identify the number of students who plan to attend college. According to the table:
[tex]\[
\text{Number of students who plan to attend college} = 67
\][/tex]
3. Calculate the marginal relative frequency for students who plan to attend college by dividing the number of students who plan to attend college by the total number of students, and then multiplying by 100 to convert the fraction into a percentage:
[tex]\[
\text{Marginal Relative Frequency} = \left(\frac{67}{82}\right) \times 100 \approx 81.70731707317073\%
\][/tex]
4. Round the resulting percentage to the nearest whole number:
[tex]\[
\text{Marginal Relative Frequency (rounded)} = 82\%
\][/tex]
Therefore, the marginal relative frequency for students who plan to attend college, rounded to the nearest percent, is [tex]$82\%$[/tex].
The correct answer is:
[tex]\[ \boxed{82\%} \][/tex]
