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Let's work through **Ejercicio 6** step by step:

### Data from the table:
- **Clases**: 10–19, 20–29, 30–39, 40–49, 50–59
- **Frecuencia**: 10, 14, 17, 7, 2

### Step 1: Cumulative Frequency Distribution (Frecuencia Acumulada)
To find the cumulative frequency, we add the frequencies as we move down the classes:

| Clases  | Frecuencia | Frecuencia Acumulada |
|---------|------------|----------------------|
| 10–19   | 10         | 10                   |
| 20–29   | 14         | 10 + 14 = 24         |
| 30–39   | 17         | 24 + 17 = 41         |
| 40–49   | 7          | 41 + 7 = 48          |
| 50–59   | 2          | 48 + 2 = 50          |

### Step 2: Relative Cumulative Frequency Distribution (Frecuencia Relativa Acumulada)
To compute the relative cumulative frequency, we divide each cumulative frequency by the total frequency, which is 50.

| Clases  | Frecuencia | Frecuencia Relativa Acumulada |
|---------|------------|-------------------------------|
| 10–19   | 10         | 10 / 50 = 0.20                |
| 20–29   | 14         | 24 / 50 = 0.48                |
| 30–39   | 17         | 41 / 50 = 0.82                |
| 40–49   | 7          | 48 / 50 = 0.96                |
| 50–59   | 2          | 50 / 50 = 1.00                |

### Ejercicio 7: Histogram and Ogive
- A **histogram** can be created by plotting the frequency against the class intervals.
- An **ogive** (cumulative frequency graph) is a line graph that represents the cumulative frequency for each class.

Would you like assistance with the histogram or ogive?

### Relative Questions:
1. What is the purpose of cumulative frequency in statistics?
2. How does relative cumulative frequency help in understanding data?
3. Can you explain how to plot a histogram step by step?
4. What are the key differences between a histogram and an ogive?
5. How would adding more data points affect the shape of the ogive?

**Tip:** Cumulative frequency and relative cumulative frequency are particularly useful for understanding percentiles and trends over a range of data.

Construya una distribución de frecuencia acumulada y otra de frecuencia relativa acumulada con la siguiente tabla de clases y frecuencias. Elabore un histograma y una ojiva.

Solve the problem of creating a cumulative and relative frequency distribution based on a given table of frequencies. Includes detailed steps for generating both cumulative frequency and relative frequency, as well as a histogram and ogive using the class intervals.

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