Question: Students from three grade levels were surveyed about their use of school buses. The results of the survey are shown in the table.
\begin{tabular}{|c|c|c|c|c|}
\hline
& \text{Grade 10} & \text{Grade 11} & \text{Grade 12} & \text{Total} \\
\hline
\text{Uses School Buses} & 34 & 27 & 33 & 94 \\
\text{Does Not Use School Buses} & 16 & 23 & 17 & 56 \\
\text{Total} & 50 & 50 & 50 & 150 \\
\hline
\end{tabular}
Question
Choose \textbf{all} of the statements that can be inferred from the data in the table.
Answer options with 5 options
A. 37% of all students do not use school buses
B. 66% of students in grade 12 use school buses
C. 11% of students in grade 10 do not use school buses
D. 34% of students who use school buses are in grade 10
E. 15% of all students are in grade 11 and do not use school buses
1. \textbf{State the problem:} We need to determine which of the given statements A to E can be inferred from the survey data about school bus usage.
2. \textbf{Important totals from the table:}
- Total students = $150$
- Students who use school buses = $94$
- Students who do not use school buses = $56$
- Grade 10 total = $50$
- Grade 11 total = $50$
- Grade 12 total = $50$
3. \textbf{Check each statement:}
\textbf{A.} "37% of all students do not use school buses"
Calculate percentage:
$$\frac{56}{150} \times 100 = 37.33\%$$
This rounds to $37\%$, so \textbf{A is true}.
\textbf{B.} "66% of students in grade 12 use school buses"
Calculate percentage:
$$\frac{33}{50} \times 100 = 66\%$$
So \textbf{B is true}.
\textbf{C.} "11% of students in grade 10 do not use school buses"
Calculate percentage:
$$\frac{16}{50} \times 100 = 32\%$$
This is not $11\%$, so \textbf{C is false}.
\textbf{D.} "34% of students who use school buses are in grade 10"
Calculate percentage:
$$\frac{34}{94} \times 100 \approx 36.17\%$$
This is not $34\%$, so \textbf{D is false}.
\textbf{E.} "15% of all students are in grade 11 and do not use school buses"
Calculate percentage:
$$\frac{23}{150} \times 100 \approx 15.33\%$$
This rounds to $15\%$, so \textbf{E is true}.
4. \textbf{Final answer:} Statements \textbf{A, B, and E} can be inferred from the data.