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Sagot :
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]
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]
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