Answer the following questions using the data presented below regarding the age of 24 people who attended a hospital emergency room on a weekday. (15 points) 36, 25, 37, 24, 39, 20, 36, 45, 31, 31, 39, 24, 29, 23, 41, 40, 33, 24, 34, 40 a) Construct a Boxplot. Remember that you need 5 values ​​to make this graph. b) Where is the greatest distribution of the data? c) Write a conclusion about the findings.

1. **Sort the Data:**
[20, 23, 24, 24, 24, 25, 29, 31, 31, 33, 34, 36, 36, 37, 39, 39, 40, 40, 41, 45]

2. **Calculate the Minimum and Maximum:**
- Minimum: 20
- Maximum: 45

3. **Find the Median (Q2):**
- Median: \frac{33 + 34}{2} = 33.5

4. **Determine Q1 and Q3:**
- Q1: \frac{29 + 31}{2} = 30
- Q3: \frac{39 + 39}{2} = 39

5. **Boxplot Values:**
- Minimum: 20
- Q1: 30
- Median: 33.5
- Q3: 39
- Maximum: 45

6. **Greatest Distribution of Data:**
- From the median to Q3: 39 - 33.5 = 5.5
- From Q1 to the median: 33.5 - 30 = 3.5

7. **Conclusion:**
The ages of people attending the hospital emergency room on a weekday show a concentration between 30 and 39 years, with a slightly broader and higher distribution in the older age group, particularly from the median to Q3. The overall age range is 20 to 45 years, indicating diverse age representation but with a higher density in the mid to late thirties.