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To solve the questions based on the table, let's start with each part:

### Part (a): Absolute, Relative, and Cumulative Frequencies

We'll calculate the absolute cumulative frequency, relative frequency, and relative cumulative frequency for each type of operation.

1. **Absolute Cumulative Frequency**: This is the running total of the number of cases as you go down the list.
2. **Relative Frequency**: This is calculated as the number of cases for each type divided by the total number of cases (498).
3. **Relative Cumulative Frequency**: This is the running total of the relative frequencies.

### Step 1: Calculate Frequencies

Let's calculate the frequencies:

| Tipo de Operación               | Número de Casos | Frecuencia Absoluta Acumulada | Frecuencia Relativa | Frecuencia Relativa Acumulada |
|---------------------------------|-----------------|-------------------------------|---------------------|-------------------------------|
| Psicoterapia de pareja          | 20              | 20                            | 20 / 498            | 20 / 498                      |
| Terapia de aceptación y compromiso | 45           | 20 + 45 = 65                  | 45 / 498            | (20 + 45) / 498               |
| Terapia de grupo                | 58              | 65 + 58 = 123                 | 58 / 498            | (65 + 58) / 498               |
| Psicoterapia infantil           | 115             | 123 + 115 = 238               | 115 / 498           | (123 + 115) / 498             |
| Psicoterapia individual         | 74              | 238 + 74 = 312                | 74 / 498            | (238 + 74) / 498              |
| Terapia cognitivo-conductual    | 65              | 312 + 65 = 377                | 65 / 498            | (312 + 65) / 498              |
| Psicoterapia familiar           | 23              | 377 + 23 = 400                | 23 / 498            | (377 + 23) / 498              |
| Terapia centrada en la persona  | 88              | 400 + 98 = 498                | 98 / 498            | (400 + 98) / 498              |
| **Total**                       | 498             |                               |                     |                               |

### Part (b): Percentage of Top 3 Therapies

Identify the top three therapies and calculate the percentage:

- Top 3: 
  - Psicoterapia individual (115)
  - Terapia cognitivo-conductual (74)
  - Terapia de grupo (58)

### Calculate percentages: 

Let's move to the calculation to these three elements from the above table for the clear overview of the steps above. 



La siguiente tabla ilustra el número de consultas psicológicas registradas en un Centro de Salud Mental de especialidad en los últimos 12 meses:

Tipo de Operación | Número de Casos:
- Psicoterapia de pareja: 20
- Terapia de aceptación y compromiso: 45
- Terapia de grupo: 58
- Psicoterapia infantil: 115
- Psicoterapia individual: 74
- Terapia cognitivo-conductual: 65
- Psicoterapia familiar: 23
- Terapia centrada en la persona: 98

Preguntas:
(a) Construya las frecuencias absoluta acumulada, relativa y relativa acumulada para la tabla de más arriba.
(b) Calcule qué porcentaje del total constituyen los 3 principales tipos de consulta, y cuál es el porcentaje de consultas sobre el total, si no se consideran las terapias cognitivo conductual, infantil y de grupo.
(c) Elabore un gráfico circular y un gráfico de barras usando toda la información.

Perform statistical analysis on the number of psychological consultations registered at a mental health center over the last 12 months. Calculate absolute and relative frequencies, cumulative frequencies, and analyze the top three consultation types with detailed steps. Suitable for students in Grades 10-12.

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