To solve for the joint relative frequency percentage for students under age 15 who walk or bike to school, let's break down the problem step-by-step:
1. Understand the given data:
- Total number of students: 360
- Students under age 15 traveling by bus: 60
- Total students under age 15: 165
- Students aged 15 and above walking or biking: 65
- Total students aged 15 and above: 195
- Total number of students who walk/bike: 152
- Total number of students traveling by bus: 110
- Total number of students traveling by car: 98
2. Determine the number of students under age 15 who walk or bike to school:
- We know from the column totals that the total number of students who walk or bike is 152.
- Students aged 15 and above who walk or bike is 65.
- Therefore, the number of students under age 15 who walk or bike to school can be found by subtracting the number of students aged 15 and above from the total number who walk or bike:
[tex]\[
\text{Number of students under age 15 who walk/bike} = 152 - 65 = 87
\][/tex]
3. Calculate the joint relative frequency:
- The joint relative frequency is the proportion of students under age 15 who walk or bike to school relative to the total number of students.
- Given that there are 360 students in total:
[tex]\[
\text{Relative frequency} = \left(\frac{87}{360}\right) \times 100
\][/tex]
- Performing the division and multiplication:
[tex]\[
\text{Relative frequency} = \left(\frac{87}{360}\right) \times 100 \approx 24.1667\%
\][/tex]
4. Round to the nearest whole number:
- The relative frequency calculated is approximately 24.1667%.
- Rounding this to the nearest whole number gives us 24%.
Thus, the joint relative frequency percentage for students under age 15 who walk or bike to school, rounded to the nearest whole number, is [tex]\(24\%\)[/tex].
