Grade Level and Instrument Distribution

Oct 13, 2025 by wbrum.org 12 views

Introduction

In the School of Rock, a middle school with a unique music program, Nora recorded the grade level and instrument of every student. This data provides valuable insights into the distribution of students across different grade levels and instruments. In this article, we will analyze the data and explore the relationships between grade level and instrument choice.

Seventh Grade Students

Instrument Distribution

Instrument	# of Students
Guitar	13
Bass	12
Drums	14

The distribution of instruments among seventh-grade students is as follows:

Guitar: 13 students, which is approximately 30.9% of the total number of seventh-grade students.
Bass: 12 students, which is approximately 28.6% of the total number of seventh-grade students.
Drums: 14 students, which is approximately 40.5% of the total number of seventh-grade students.

Grade Level Distribution

To better understand the distribution of students across different grade levels, we need to calculate the total number of seventh-grade students. Assuming that the number of students in each grade level is proportional to the number of students in the seventh grade, we can estimate the total number of students in the seventh grade.

Let's assume that the total number of students in the seventh grade is x. Then, the number of students in each grade level can be calculated as follows:

Guitar: 13/x
Bass: 12/x
Drums: 14/x

We can now calculate the total number of students in the seventh grade by summing up the number of students in each grade level:

x = 13/x + 12/x + 14/x x = 39/x x = 39

Therefore, the total number of students in the seventh grade is 39.

Grade Level and Instrument Distribution

Now that we have calculated the total number of students in the seventh grade, we can analyze the distribution of students across different grade levels and instruments.

Grade Level	Guitar	Bass	Drums
7th	13	12	14

The distribution of students across different grade levels and instruments is as follows:

7th Grade: 39 students, with 13 students playing guitar, 12 students playing bass, and 14 students playing drums.

Eighth Grade Students

Instrument Distribution

Instrument	# of Students
Guitar	15
Bass	16
Drums	13

The distribution of instruments among eighth-grade students is as follows:

Guitar: 15 students, which is approximately 37.5% of the total number of eighth-grade students.
Bass: 16 students, which is approximately 40% of the total number of eighth-grade students.
Drums: 13 students, which is approximately 32.5% of the total number of eighth-grade students.

Grade Level Distribution

To calculate the total number of students in the eighth grade, we can use the same method as before:

x = 15/x + 16/x + 13/x x = 44/x x = 44

Therefore, the total number of students in the eighth grade is 44.

Grade Level and Instrument Distribution

Now that we have calculated the total number of students in the eighth grade, we can analyze the distribution of students across different grade levels and instruments.

Grade Level	Guitar	Bass	Drums
8th	15	16	13

The distribution of students across different grade levels and instruments is as follows:

8th Grade: 44 students, with 15 students playing guitar, 16 students playing bass, and 13 students playing drums.

Ninth Grade Students

Instrument Distribution

Instrument	# of Students
Guitar	12
Bass	13
Drums	15

The distribution of instruments among ninth-grade students is as follows:

Guitar: 12 students, which is approximately 30% of the total number of ninth-grade students.
Bass: 13 students, which is approximately 32.5% of the total number of ninth-grade students.
Drums: 15 students, which is approximately 37.5% of the total number of ninth-grade students.

Grade Level Distribution

To calculate the total number of students in the ninth grade, we can use the same method as before:

x = 12/x + 13/x + 15/x x = 40/x x = 40

Therefore, the total number of students in the ninth grade is 40.

Grade Level and Instrument Distribution

Now that we have calculated the total number of students in the ninth grade, we can analyze the distribution of students across different grade levels and instruments.

Grade Level	Guitar	Bass	Drums
9th	12	13	15

The distribution of students across different grade levels and instruments is as follows:

9th Grade: 40 students, with 12 students playing guitar, 13 students playing bass, and 15 students playing drums.

Conclusion

In conclusion, the distribution of students across different grade levels and instruments in the School of Rock is as follows:

7th Grade: 39 students, with 13 students playing guitar, 12 students playing bass, and 14 students playing drums.
8th Grade: 44 students, with 15 students playing guitar, 16 students playing bass, and 13 students playing drums.
9th Grade: 40 students, with 12 students playing guitar, 13 students playing bass, and 15 students playing drums.

The distribution of instruments among students in each grade level is as follows:

Guitar: 30.9% of 7th-grade students, 37.5% of 8th-grade students, and 30% of 9th-grade students.
Bass: 28.6% of 7th-grade students, 40% of 8th-grade students, and 32.5% of 9th-grade students.
Drums: 40.5% of 7th-grade students, 32.5% of 8th-grade students, and 37.5% of 9th-grade students.

The distribution of students across different grade levels and instruments provides valuable insights into the music program in the School of Rock.