To calculate the marginal relative frequency for students who plan to attend college, follow these detailed steps:
1. Identify the total number of students:
From the table, we see that the total number of students surveyed is listed in the bottom-right corner, which is [tex]\(82\)[/tex].
2. Identify the number of students who plan to attend college:
The total number of students planning to attend college is given in the cell corresponding to the "College" column in the "Total" row, which is [tex]\(67\)[/tex].
3. Calculate the marginal relative frequency:
The marginal relative frequency is calculated by dividing the number of students who plan to attend college by the total number of students. Then, we convert this fraction into a percentage by multiplying by [tex]\(100\%\)[/tex].
So, we calculate:
[tex]\[
\text{Marginal Relative Frequency} = \left(\frac{67}{82}\right) \times 100\%
\][/tex]
4. Resulting Calculation:
The resulting calculation for the marginal relative frequency is approximately [tex]\(81.70731707317073\%\)[/tex].
5. Rounding the result to the nearest percent:
When we round [tex]\(81.70731707317073\%\)[/tex] to the nearest whole number, we get [tex]\(82\%\)[/tex].
Therefore, the marginal relative frequency for students who plan to attend college, rounded to the nearest percent, is [tex]\(82\%\)[/tex].
