https://file.aiquickdraw.com/mathbot/file/1726450529705wjyo9bya.jpg

Let's first analyze the data shown in the image and then calculate the relative frequency for each row in the table.

The table given in the image asks for the number of children under 18 in the household, where the data is organized as follows:

### Steps to solve:
1. **Total Frequency**: Add up all the frequencies.
2. **Relative Frequency**: For each category, divide the frequency by the total number of respondents (in this case, 25) and round to 4 decimal places.

### Given Frequencies:
- Number of children under 18 = 0: Frequency = 5
- Number of children under 18 = 1: Frequency = 2
- Number of children under 18 = 2: Frequency = 3
- Number of children under 18 = 3: Frequency = 6
- Number of children under 18 = 4: Frequency = 5
- Number of children under 18 = 5: Frequency = 1
- Number of children under 18 = 6: Frequency = 3

### Total Frequency:
\[
5 + 2 + 3 + 6 + 5 + 1 + 3 = 25
\]

### Now, let's compute the relative frequencies for each category:
- Relative Frequency for 0 children: \( \frac{5}{25} = 0.2000 \)
- Relative Frequency for 1 child: \( \frac{2}{25} = 0.0800 \)
- Relative Frequency for 2 children: \( \frac{3}{25} = 0.1200 \)
- Relative Frequency for 3 children: \( \frac{6}{25} = 0.2400 \)
- Relative Frequency for 4 children: \( \frac{5}{25} = 0.2000 \)
- Relative Frequency for 5 children: \( \frac{1}{25} = 0.0400 \)
- Relative Frequency for 6 children: \( \frac{3}{25} = 0.1200 \)

### Final Frequency and Relative Frequency Table:

| Number of children under 18 | Frequency | Relative Frequency |
|-----------------------------|-----------|--------------------|
| 0                           | 5         | 0.2000             |
| 1                           | 2         | 0.0800             |
| 2                           | 3         | 0.1200             |
| 3                           | 6         | 0.2400             |
| 4                           | 5         | 0.2000             |
| 5                           | 1         | 0.0400             |
| 6                           | 3         | 0.1200             |
| **Total**                   | **25**    | **1.0000**          |

Would you like any further details or explanations?

Here are some follow-up questions:
1. What is the importance of a frequency distribution in data analysis?
2. How does relative frequency help in understanding the distribution of data?
3. Can relative frequencies sum up to more or less than 1? Why or why not?
4. How could you represent this data visually (e.g., bar graph, pie chart)?
5. How would the table change if Malcolm surveyed 50 classmates instead of 25?

**Tip**: Always ensure that relative frequencies sum up to 1. If they don't, it may indicate a rounding or calculation error.

Malcolm has surveyed their 25 classmates about the number of children under 18 in their household. Construct a frequency and relative frequency distribution table based on the data provided.

Learn how to construct a frequency and relative frequency table using a dataset of 25 classmates surveyed about the number of children under 18 in their household. Understand how to calculate relative frequencies, round to 4 decimal places, and ensure they sum up to 1.

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