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The problem can be solved by using the weighted average formula. Let's break down the given information:

- The average score for the entire class is 58.
- The average score for male students is 65.
- The average score for female students is 54.

Let:
- \( x \) be the number of male students.
- \( y \) be the number of female students.

The formula for the average score of the entire class is given by the weighted average:
\[
\frac{x \cdot 65 + y \cdot 54}{x + y} = 58
\]

Now, let's solve this equation for the ratio \( \frac{x}{y} \).

### Step 1: Multiply both sides by \( x + y \) to eliminate the denominator:
\[
x \cdot 65 + y \cdot 54 = 58(x + y)
\]

### Step 2: Expand both sides:
\[
65x + 54y = 58x + 58y
\]

### Step 3: Move all terms involving \( x \) to one side and terms involving \( y \) to the other:
\[
65x - 58x = 58y - 54y
\]
\[
7x = 4y
\]

### Step 4: Solve for \( \frac{x}{y} \):
\[
\frac{x}{y} = \frac{4}{7}
\]

So, the ratio of male to female students is \( 7:4 \).

### Conclusion:
The correct answer is **C: 11:4**.

Would you like more details or have any questions?

Here are some related questions:
1. What is the formula for calculating a weighted average?
2. How do you solve systems of linear equations in two variables?
3. What is the importance of ratios in problem-solving?
4. Can you solve similar problems with more than two groups?
5. How can we estimate answers in ratio-based problems?

**Tip:** Always try to simplify ratios to their smallest form for clarity.

Pada ulangan matematika, diketahui nilai rata-rata kelas adalah 58. Jika rata-rata nilai matematika untuk siswa prianya adalah 65 dan untuk siswa perempuannya adalah 54, perbandingan jumlah siswa pria dan perempuan pada kelas itu adalah ....

Learn how to solve a weighted average math problem where the average score of male and female students are provided, and the class average is known. This solution demonstrates how to find the ratio of male to female students, using algebra and weighted averages. Suitable for high school students.

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