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Let's start by addressing part (a) and constructing the relative frequency distribution of the data.

### Given Data:
The total number of households is 50 (since the sum of the households listed equals 50). Here's the breakdown:

| Number of Children under 5 | Number of Households |
|----------------------------|----------------------|
| 0                          | 16                   |
| 1                          | 15                   |
| 2                          | 16                   |
| 3                          | 2                    |
| 4                          | 1                    |

### Relative Frequency Calculation:
To calculate the relative frequency, we use the formula:

\[
\text{Relative Frequency} = \frac{\text{Number of Households in each category}}{\text{Total Number of Households}}
\]

Now, I'll calculate the relative frequencies.Here is the relative frequency distribution for the dataHere is the relative frequency distribution for the 

| Number of Children under 5 | Relative Frequency |
|----------------------------|--------------------|
| 0                          | 0.32               |
| 1                          | 0.30               |
| 2                          | 0.32               |
| 3                          | 0.04               |
| 4                          | 0.02               |

Next, let's move on to part (b): 

### (b) What percentage of households has two children under the age of 5?

The number of households with two children is 16. The percentage can be calculated as:

\[
\text{Percentage} = \left(\frac{\text{Number of households with 2 children}}{\text{Total households}}\right) \times 100
\]

I'll calculate this now.The percentage of households that have two children under the age of 5 is **32%**.

Now for part (c):

### (c) What percentage of households has one or two children under the age of 5?

To calculate this, we'll add the number of households with one child and two children, and then find the percentage:

\[
\text{Percentage} = \left(\frac{\text{Number of households with 1 or 2 children}}{\text{Total households}}\right) \times 100
\]

Let me compute that.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, based on what we've done so far, here's what we have:

- **Relative frequency distribution** was calculated.
- **Percentage of households with two children** was found to be **32%**.

For part (c), you'll need to sum the percentages for households with one child (0.30 or 30%) and two children (0.32 or 32%) and convert that to a percentage.

Would you like help with any other questions?

Here are 5 related questions to consider:
1. How is relative frequency useful in data analysis?
2. What is the interpretation of relative frequency compared to raw counts?
3. How could you visualize this data (e.g., pie chart or bar graph)?
4. How might the distribution change with a larger sample size?
5. What other factors could influence household sizes?

**Tip**: When working with percentages, always double-check your base totals, as they must add up to 100%.

To predict future enrollment in a school district, fifty households within the district were sampled and asked to disclose the number of children under the age of five living in the household. What is the relative frequency distribution of households based on the number of children under five? What percentage of households has two children or one or two children under the age of five?

This problem involves constructing a relative frequency distribution of households based on the number of children under five. Learn how to calculate the relative frequency and percentages for households with specific numbers of children under five, using data analysis techniques suitable for students in Grades 9-10.

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