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The juniors and seniors at Lawrence High School are required to enroll in one fine arts elective each year. The students' selections are displayed in the two-way relative frequency table below.

| | Art | Band | Choir | Drama | Total |
|-----------|------|------|-------|-------|-------|
| Juniors | 0.02 | 0.27 | 0.24 | 0.05 | 0.58 |
| Seniors | 0.12 | 0.04 | 0.05 | 0.21 | 0.42 |
| Total | 0.14 | 0.31 | 0.29 | 0.26 | 1 |

Which observation is supported by the data?

A. Choir is the most popular elective among seniors.
B. Drama is the most popular elective among juniors.
C. Art is the most popular elective among seniors.
D. Band is the most popular elective among juniors.

Sagot :

GinnyAnswer
To analyze which observation is supported by the data, let's examine the most popular electives for both the juniors and seniors at Lawrence High School based on the given relative frequencies.

### Step-by-Step Solution:

1. Identify the relative frequencies for each elective among juniors:
- Art: [tex]\(0.02\)[/tex]
- Band: [tex]\(0.27\)[/tex]
- Choir: [tex]\(0.24\)[/tex]
- Drama: [tex]\(0.05\)[/tex]

2. Determine the most popular elective among juniors:
- The highest relative frequency among juniors is [tex]\(0.27\)[/tex] for Band.

3. Identify the relative frequencies for each elective among seniors:
- Art: [tex]\(0.12\)[/tex]
- Band: [tex]\(0.04\)[/tex]
- Choir: [tex]\(0.05\)[/tex]
- Drama: [tex]\(0.21\)[/tex]

4. Determine the most popular elective among seniors:
- The highest relative frequency among seniors is [tex]\(0.21\)[/tex] for Drama.

5. Compare these findings to the provided options:
- Option A. Choir is the most popular elective among seniors. - Incorrect (Drama is the most popular among seniors with [tex]\(0.21\)[/tex])
- Option B. Drama is the most popular elective among juniors. - Incorrect (Band is the most popular among juniors with [tex]\(0.27\)[/tex])
- Option C. Art is the most popular elective among seniors. - Incorrect (Drama is the most popular among seniors with [tex]\(0.21\)[/tex])
- Option D. Band is the most popular elective among juniors. - Correct (Band has the highest frequency among juniors with [tex]\(0.27\)[/tex])

Based on the data, the correct observation is:

D. Band is the most popular elective among juniors.
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