https://r2.erweima.ai/mathbot/image/172548447454399vx4h75.jpg

To solve the problem, I will first extract and analyze the data from the image.

The question requires the following steps:
1. **Complete the frequency distribution table** and create several graphical representations: histogram, frequency polygon, ogive, and pie chart.
2. **Calculate the mean, median, and mode** of the data.
3. **Write two conclusions** based on the data analysis.

I'll begin by extracting the data from the image to proceed with the solution.The data provided in the image shows the number of days of work absence for 80 employees over the last year. Here is the extracted dataThe data provided in the image shows the number of days of work absence for 80 employees over the last year. Here is the extracted 

- **Data set**:  
  2, 7, 2, 1, 4, 7, 4, 3, 3, 7, 7, 3, 1, 6, 5, 6, 4, 6, 7, 5,  
  4, 8, 8, 8, 8, 9, 3, 9, 9, 9, 9, 4, 10, 2, 10, 9, 10, 10, 1, 10,  
  10, 10, 11, 5, 11, 11, 12, 12, 12, 12, 2, 13, 13, 13, 13, 1, 13, 13, 14, 13,  
  14, 14, 15, 15, 15, 14, 15, 16, 16, 16, 17, 16, 17, 17, 17, 17, 17, 18, 18, 20.

### Step 1: Frequency Distribution Table
Let's start by creating a frequency distribution table for these values.

| Days Absent (x) | Frequency (f) |
|-----------------|--------------|
| 1               | 4            |
| 2               | 4            |
| 3               | 4            |
| 4               | 5            |
| 5               | 3            |
| 6               | 3            |
| 7               | 5            |
| 8               | 4            |
| 9               | 5            |
| 10              | 7            |
| 11              | 3            |
| 12              | 4            |
| 13              | 7            |
| 14              | 4            |
| 15              | 5            |
| 16              | 4            |
| 17              | 5            |
| 18              | 2            |
| 20              | 1            |
| **Total**       | **80**       |

### Step 2: Calculate Mean, Median, and Mode

1. **Mean (Average):**  
   \[
   \text{Mean} = \frac{\sum (x \cdot f)}{N}
   \]  


La siguiente información nos muestra el número de días de ausencia laboral durante el último año en una muestra de 80 trabajadores.
 a. Complete la tabla de distribución de frecuencias, elabore histograma, polígono de frecuencias, ojiva y diagrama circular.
 b. Calcule la media, mediana y moda.
 c. Escriba 2 conclusiones.

Analyze the number of days of work absence for 80 employees using a frequency distribution table. Learn how to create a histogram, frequency polygon, ogive, and pie chart. Calculate the mean, median, and mode to understand central tendency. Suitable for Grades 10-12.

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