Let's fill in the frequency table step-by-step based on the provided information and the solutions.
Here are the pieces of given data:
1. Total number of students = 360
2. Total number of students under age 15 = 165 (found by subtracting the total number of students above age 15 from the grand total, [tex]\(360 - 195 = 165\)[/tex])
3. Total students who walk/bike = 152
4. Total students who take the bus = 110
5. Total students who take the car = 98
6. Students under age 15 who take a car = 60
7. Students age 15 and above who walk/bike = 65
Step-by-Step Solution:
1. Calculate the number of students under age 15 who walk/bike:
- Total walk/bike students (152) minus walk/bike students age 15 and above (65) gives us walk/bike students under age 15:
[tex]\(152 - 65 = 87\)[/tex]
2. Calculate the number of students under age 15 who travel by bus:
- Subtract the number of students under age 15 who walk/bike (87) and the number of students under age 15 who take a car (60) from the total number of students under age 15 (165):
[tex]\(165 - 87 - 60 = 18\)[/tex]
3. Calculate the number of students age 15 and above who travel by bus:
- Total bus students (110) minus bus students under age 15 (18) gives us bus students age 15 and above:
[tex]\(110 - 18 = 92\)[/tex]
4. Calculate the number of students age 15 and above who take a car to school:
- Subtract the number of students age 15 and above who walk/bike (65) and the number of students age 15 and above who take the bus (92) from the total number of students age 15 and above (195):
[tex]\(195 - 65 - 92 = 38\)[/tex]
So, the number of students age 15 and above who take a car to school is 38.
The completed frequency table looks like this:
\begin{tabular}{|r|l|l|l|l|}
\hline \multicolumn{4}{|c|}{ Method of Travel to School } \\
\hline & Walk/Bike & BuS & Car & Row totals \\
\hline Under age 15 & 87 & 18 & 60 & 165 \\
\hline Age 15 and above & 65 & 92 & 38 & 195 \\
\hline Column totals & 152 & 110 & 98 & 360 \\
\hline
\end{tabular}
Thus, the required answer is:
- 38
