https://file.aiquickdraw.com/mathbot/file/1725368301005mfby9ovj.jpg

The image shows the ages of 40 students in a class. To summarize this data, we'll create a frequency table and a relative frequency table.

### Step 1: Organize the Data
Here's the list of the students' ages extracted from the image:

15, 17, 17, 18, 16, 18, 16, 14, 16, 18  
15, 17, 16, 14, 16, 15, 17, 18, 15, 17  
16, 14, 14, 18, 16, 17, 16, 17, 16, 17  
18, 14, 18, 14, 16, 17, 14, 16, 17, 16

### Step 2: Frequency Table
We count the number of occurrences of each age.

| Age | Frequency |
|-----|-----------|
| 14  |    8      |
| 15  |    4      |
| 16  |   13      |
| 17  |   10      |
| 18  |    5      |

### Step 3: Relative Frequency Table
To find the relative frequency, we divide each frequency by the total number of students (40).

| Age | Frequency | Relative Frequency |
|-----|-----------|--------------------|
| 14  |    8      |      0.20          |
| 15  |    4      |      0.10          |
| 16  |   13      |      0.325         |
| 17  |   10      |      0.25          |
| 18  |    5      |      0.125         |

### Summary
- **Most Common Age:** 16 (13 occurrences)
- **Least Common Age:** 15 (4 occurrences)
- **Total Students:** 40

Would you like further analysis or visual representation of this data?

### Related Questions:
1. How do you calculate the cumulative frequency of a dataset?
2. What is the importance of a relative frequency table?
3. How can we use a histogram to represent the distribution of ages?
4. What is the median age of this class, and how can it be found?
5. How do outliers affect frequency and relative frequency tables?

**Tip:** Always double-check your data counts to ensure accuracy in frequency tables!

Summarize the distribution of ages with a frequency table and a relative frequency table.

Learn how to summarize the distribution of ages of 40 students with a frequency table and a relative frequency table. Understand key concepts like data organization and frequency distribution, suitable for Grades 7-9.

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