To create a correct two-way frequency table for the given data, we'll organize the preferences of high school students in grades 9-10 and 11-12 for different types of bands.
Here’s the data that we need to arrange:
- Grades 9-10:
- Rap: 40
- Rock: 30
- Country: 55
- Grades 11-12:
- Rap: 60
- Rock: 25
- Country: 35
We'll structure this data in a two-way frequency table, where one axis represents the grade levels and the other axis represents the types of bands.
Here’s the step-by-step solution:
1. Start by creating a table with headers for each type of band.
2. Include a row for grades 9-10 and another row for grades 11-12.
3. Fill in the corresponding numbers in the table.
The two-way frequency table will look like this:
| | Rap | Rock | Country |
|---------------|-----|------|----------|
| Grades 9-10 | 40 | 30 | 55 |
| Grades 11-12 | 60 | 25 | 35 |
Thus, the correct two-way frequency table for the data is:
- First row for headers: `["", "Rap", "Rock", "Country"]`
- Second row for grades 9-10: `["Grades 9-10", 40, 30, 55]`
- Third row for grades 11-12: `["Grades 11-12", 60, 25, 35]`
To encapsulate, the final two-way frequency table is:
```
[['', 'Rap', 'Rock', 'Country'], ['Grades 9-10', 40, 30, 55], ['Grades 11-12', 60, 25, 35]]
```
This table accurately represents the preferences of high school students from grades 9-10 and 11-12 for different kinds of bands.
