To determine the marginal relative frequency for students who plan to attend college from the given two-way table, we should follow these steps:
1. Identify the total number of students who plan to attend college:
- From the table, the total number of students who plan to attend college (both traveling and not traveling) is 67.
2. Identify the total number of surveyed students:
- The table shows that the total number of surveyed students is 82.
3. Calculate the marginal relative frequency:
- The relative frequency is found by dividing the number of students planning to attend college by the total number of surveyed students and then multiplying by 100 to convert it to a percentage.
[tex]\[
\text{Marginal Relative Frequency} = \left( \frac{67}{82} \right) \times 100
\][/tex]
- This calculation gives us approximately 81.70731707317073%.
4. Round the answer to the nearest percent:
- The marginal relative frequency of approximately 81.70731707317073% rounded to the nearest percent is 82%.
Thus, the marginal relative frequency for students who plan to attend college is 82%.
