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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.

Fine Arts Course Selections

\begin{tabular}{|c|c|c|c|c|c|}
\cline { 2 - 6 } \multicolumn{1}{c|}{} & Art & Band & Choir & Drama & Total \\
\hline Juniors & 0.02 & 0.27 & 0.24 & 0.05 & 0.58 \\
\hline Seniors & 0.12 & 0.04 & 0.05 & 0.21 & 0.42 \\
\hline Total & 0.14 & 0.31 & 0.29 & 0.26 & 1 \\
\hline
\end{tabular}

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 :

GinnyAnsweridn
Let's analyze the given two-way relative frequency table. The table shows the proportion of juniors and seniors at Lawrence High School who are enrolled in different fine arts electives:

\begin{tabular}{|c|c|c|c|c|c|}
\cline { 2 - 6 } \multicolumn{1}{c|}{} & Art & Band & Choir & Drama & Total \\
\hline Juniors & 0.02 & 0.27 & 0.24 & 0.05 & 0.58 \\
\hline Seniors & 0.12 & 0.04 & 0.05 & 0.21 & 0.42 \\
\hline Total & 0.14 & 0.31 & 0.29 & 0.26 & 1 \\
\hline
\end{tabular}

1. Determine the most popular elective among juniors:
- Art: 0.02
- Band: 0.27
- Choir: 0.24
- Drama: 0.05

The highest relative frequency for juniors is 0.27 for Band. Therefore, Band is the most popular elective among juniors.

2. Determine the most popular elective among seniors:
- Art: 0.12
- Band: 0.04
- Choir: 0.05
- Drama: 0.21

The highest relative frequency for seniors is 0.21 for Drama. Therefore, Drama is the most popular elective among seniors.

Based on the analysis:

- Option A: Choir is the most popular elective among seniors. (This is incorrect, Drama is the most popular elective among seniors.)
- Option B: Drama is the most popular elective among juniors. (This is incorrect, Band is the most popular elective among juniors.)
- Option C: Art is the most popular elective among seniors. (This is incorrect, Drama is the most popular elective among seniors.)
- Option D: Band is the most popular elective among juniors. (This is correct, Band has the highest relative frequency of 0.27 among juniors.)

Thus, the correct answer is:
D. Band is the most popular elective among juniors.
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