The dance committee at a local high school polled students to determine what theme they would like to have for the school dance. The results of the poll are shown in the two-way frequency table below. Starry Night Beach Party Masquerade Total Girls 92 48 56 196 Boys 68 88 48 204 Total 160 136 104 400 Approximately what percentage of the total number of girls prefer the starry night theme? 46.9% 73.9% 34.7% 57.5% to

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On this educational webpage, students can practice interpreting and analyzing two-way frequency tables. Here is an example question that students might encounter:

---

**Two-Way Frequency Tables: Practice**

**Question 2 of 5**

Select the correct answer.

The dance committee at a local high school polled students to determine what theme they would like to have for the school dance. The results of the poll are shown in the two-way frequency table below:

|             | Starry Night | Beach Party | Masquerade | Total |
|-------------|--------------|-------------|------------|-------|
| **Girls**   | 92           | 48          | 56         | 196   |
| **Boys**    | 68           | 88          | 48         | 204   |
| **Total**   | 160          | 136         | 104        | 400   |

Approximately what percentage of the total number of girls prefer the Starry Night theme?

- 46.9%
- 73.9%
- 34.7%
- 57.5%

**Explanation of Table:**
- The table summarizes the preferences of girls and boys for three different dance themes: Starry Night, Beach Party, and Masquerade.
- The first row shows the number of girls who prefer each theme and the total number of girls polled.
- The second row shows the number of boys who prefer each theme and the total number of boys polled.
- The third row shows the total preferences for each theme and the overall total number of students polled.

To calculate the percentage of girls who prefer the Starry Night theme:
\[ \text{Percentage} = \left( \frac{\text{Number of Girls who prefer Starry Night}}{\text{Total Number of Girls}} \right) \times 100 \]
\[ = \left( \frac{92}{196} \right) \times 100 \]
\[ \approx 46.9\% \]

After making your selection, click "Submit" to check your answer.

---

This practice question helps students understand how to interpret frequency tables and calculate percentages related to categorical data.
Transcribed Image Text:On this educational webpage, students can practice interpreting and analyzing two-way frequency tables. Here is an example question that students might encounter: --- **Two-Way Frequency Tables: Practice** **Question 2 of 5** Select the correct answer. The dance committee at a local high school polled students to determine what theme they would like to have for the school dance. The results of the poll are shown in the two-way frequency table below: | | Starry Night | Beach Party | Masquerade | Total | |-------------|--------------|-------------|------------|-------| | **Girls** | 92 | 48 | 56 | 196 | | **Boys** | 68 | 88 | 48 | 204 | | **Total** | 160 | 136 | 104 | 400 | Approximately what percentage of the total number of girls prefer the Starry Night theme? - 46.9% - 73.9% - 34.7% - 57.5% **Explanation of Table:** - The table summarizes the preferences of girls and boys for three different dance themes: Starry Night, Beach Party, and Masquerade. - The first row shows the number of girls who prefer each theme and the total number of girls polled. - The second row shows the number of boys who prefer each theme and the total number of boys polled. - The third row shows the total preferences for each theme and the overall total number of students polled. To calculate the percentage of girls who prefer the Starry Night theme: \[ \text{Percentage} = \left( \frac{\text{Number of Girls who prefer Starry Night}}{\text{Total Number of Girls}} \right) \times 100 \] \[ = \left( \frac{92}{196} \right) \times 100 \] \[ \approx 46.9\% \] After making your selection, click "Submit" to check your answer. --- This practice question helps students understand how to interpret frequency tables and calculate percentages related to categorical data.
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