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

[tex]\[
\begin{tabular}{|c|c|c|c|}
\hline
& \text{Right-handed} & \text{Left-handed} & \text{Total} \\
\hline
\text{9th Grade} & & & 121 \\
\hline
\text{10th Grade} & & & \\
\hline
\text{Total} & 214 & & 236 \\
\hline
\end{tabular}
\][/tex]

Sagot :

GinnyAnsweridn
To create the two-way frequency table, we will follow these steps to organize the given data across 9th grade, 10th grade, and total students, distinguishing between right-handed and left-handed students.

We are given the following information:
- Total students: 236
- 9th grade students: 121
- Right-handed students: 214
- Right-handed 10th grade students: 103

Using these details, we first need to find:
1. The number of 10th grade students.
2. The number of left-handed students.
3. The number of right-handed students in the 9th grade.
4. The number of left-handed students in the 9th grade.
5. The number of left-handed students in the 10th grade.

Here is the step-by-step solution:

1. Total number of 10th grade students:
[tex]\[ \text{Total 10th grade students} = 236 - 121 = 115 \][/tex]

2. Total left-handed students:
[tex]\[ \text{Left-handed students} = 236 - 214 = 22 \][/tex]

3. 9th grade right-handed students:
[tex]\[ \text{9th grade right-handed students} = 214 - 103 = 111 \][/tex]

4. 9th grade left-handed students:
[tex]\[ \text{9th grade left-handed students} = 121 - 111 = 10 \][/tex]

5. 10th grade left-handed students:
[tex]\[ \text{10th grade left-handed students} = 115 - 103 = 12 \][/tex]

Now we can fill in the two-way frequency table as follows:

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

This table comprehensively categorizes the students based on their grade and whether they are right-handed or left-handed.
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