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I can see that the document contains four exercises from a statistics exam. Let's go through each of the exercises and solve them step by step.

### Exercise 1:
- **Given:**
  - 15 students passed.
  - 8 students failed.
  - 3 students dropped out.

  **Tasks:**
  a) Determine the ratio of passed to failed students.
  b) Determine the percentages of passed, failed, and dropped-out students.

**Solution:**
- Total number of students = 15 (passed) + 8 (failed) + 3 (dropped) = 26 students.
  
  **a) Ratio of passed to failed students:**
  \[
  \text{Ratio} = \frac{15}{8}
  \]
  
  **b) Percentages:**
  \[
  \text{Percentage of passed} = \left(\frac{15}{26}\right) \times 100 = 57.69\%
  \]
  \[
  \text{Percentage of failed} = \left(\frac{8}{26}\right) \times 100 = 30.77\%
  \]
  \[
  \text{Percentage of dropped} = \left(\frac{3}{26}\right) \times 100 = 11.54\%
  \]

---

### Exercise 2:
- **Given:**
  30% of the site has no vestiges of significant historical stages.

  **Task:**
  Determine the total number of sites if there are 6 sites with vestiges.

**Solution:**
- Let the total number of sites be \( x \).
- 30% of the sites have no vestiges, meaning 70% have vestiges.
  
  Equation:
  \[
  0.7x = 6
  \]
  Solving for \( x \):
  \[
  x = \frac{6}{0.7} = 8.57
  \]
  So, the total number of sites is approximately 9.

---

### Exercise 3:
- **Given:**
  The archaeological collection dataI can see that the document contains four exercises from a statistics exam. Let's go through each of the exercises and solve them step by step.

### Exercise 1:
- **Given:**
  - 15 students passed.
  - 8 students failed.
  - 3 students dropped out.

  **Tasks:**
  a) Determine the ratio of passed to failed students.
  b) Determine the percentages of passed, failed, and dropped-out students.

**Solution:**
- Total number of students = 15 (passed) + 8 (failed) + 3 (dropped) = 26 students.
  
  **a) Ratio of passed to failed students:**
  \[
  \text{Ratio} = \frac{15}{8}
  \]
  
  **b) Percentages:**
  \[
  \text{Percentage of passed} = \left(\frac{15}{26}\right) \times 100 = 57.69\%
  \]
  \[
  \text{Percentage of failed} = \left(\frac{8}{26}\right) \times 100 = 30.77\%
  \]
  \[
  \text{Percentage of dropped} = \left(\frac{3}{26}\right) \times 100 = 11.54\%
  \]

---

### Exercise 2:
- **Given:**
  30% of the site has no vestiges of significant historical stages.

  **Task:**
  Determine the total number of sites if there are 6 sites with vestiges.

**Solution:**
- Let the total number of sites be \( x \).
- 30% of the sites have no vestiges, meaning 70% have vestiges.
  
  Equation:
  \[
  0.7x = 6
  \]
  Solving for \( x \):
  \[
  x = \frac{6}{0.7} = 8.57
  \]
  So, the total number of sites is approximately 9.

---

### Exercise 3:
- **Given:**
  The archaeological collection   
  1, 2, 1, 2, 3, 4, 2, 4, 0, 3, 4, 2, 0, 1, 1, 3, 0, 1, 2, 1, 2, 1, 2, 2.

  **Task:**
  Construct a frequency table with absolute frequency, accumulated frequency, relative frequency, and frequency in percentage.

I will now construct this frequency table based on the given data.

---

### Exercise 4:
- **Given:**
  A set of weights (in kg) for 80 people.

  **Task:**
  Construct a frequency table with absolute frequency, accumulated frequency, relative frequency, and frequency in percentage.

I will now proceed to calculate the frequency table for the weight data.

Let me calculate the frequency tables for exercises 3 and 4.

Solve a series of statistics exercises involving ratios, percentages, and frequency tables. This problem covers key concepts like calculating the ratio of passed to failed students, determining percentages, and constructing frequency tables with relative and absolute frequencies. Suitable for Grades 10-12.

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