In the 9th and 10th grades at Jefferson High School, there are 236 students. Of those students, 121 are in 9th grade. Of the 214 students who are right-handed, 103 of them are in 10th grade.

Create the two-way frequency table for this scenario.

\begin{tabular}{|c|c|c|c|}
\hline
& Right-handed & Left-handed & Total \\
\hline
9th Grade & & & \\
\hline
10th Grade & & & \\
\hline
Total & & & \\
\hline
\end{tabular}

Drag each tile to the correct cell in the table:
22, 12, 10, 214, 236, 121, 111, 103, 115



Answer :

Sure! To create the two-way frequency table, we need to fill in the following data based on the given information:

1. Total number of students: 236
2. Total number of 9th-grade students: 121
3. Total number of 10th-grade students: 236 - 121 = 115
4. Total number of right-handed students: 214
5. Number of right-handed students in 10th grade: 103
6. Number of right-handed students in 9th grade: 214 - 103 = 111
7. Number of left-handed students: 236 - 214 = 22
8. Number of left-handed students in 9th grade: 121 - 111 = 10
9. Number of left-handed students in 10th grade: 115 - 103 = 12

Now, we can populate the two-way frequency table as follows:

[tex]\[ \begin{array}{|c|c|c|c|} \hline & \text{Right-handed} & \text{Left-handed} & \text{Total} \\ \hline \text{9th Grade} & 111 & 10 & 121 \\ \hline \text{10th Grade} & 103 & 12 & 115 \\ \hline \text{Total} & 214 & 22 & 236 \\ \hline \end{array} \][/tex]

Hence, the completed table:

[tex]\[ \begin{array}{|c|c|c|c|} \hline & \text{Right-handed} & \text{Left-handed} & \text{Total} \\ \hline \text{9th Grade} & 111 & 10 & 121 \\ \hline \text{10th Grade} & 103 & 12 & 115 \\ \hline \text{Total} & 214 & 22 & 236 \\ \hline \end{array} \][/tex]