Sure, let's break down the steps for understanding the given answers to the question based on the provided data.
We need to look at the following:
- The total number of households surveyed.
- The number of households with a specific number of children under the age of 5.
The survey data is as follows:
[tex]\[
\begin{tabular}{cc}
\hline
Number of Children (under 5) & Number of Households \\
\hline
0 & 17 \\
1 & 13 \\
2 & 16 \\
3 & 2 \\
4 & 2 \\
\hline
\end{tabular}
\][/tex]
To solve the problems:
### Part (a)
What percentage of households has two children under the age of 5?
1. Total number of households surveyed is the sum of all the households:
[tex]\[
17 + 13 + 16 + 2 + 2 = 50
\][/tex]
2. The number of households with two children under the age of 5 is 16.
3. To find the percentage:
[tex]\[
\left( \frac{{\text{Number of households with 2 children}}}{{\text{Total number of households}}} \right) \times 100
\][/tex]
[tex]\[
\left( \frac{16}{50} \right) \times 100 = 32\%
\][/tex]
Therefore, the percentage of households that have two children under the age of 5 is [tex]\(32\%\)[/tex].
### Part (b)
What percentage of households has one or two children under the age of 5?
1. The number of households with one child under the age of 5 is 13.
2. The number of households with two children under the age of 5 is 16.
3. Combine these two figures to get the total number of households with one or two children:
[tex]\[
13 + 16 = 29
\][/tex]
4. To find the percentage:
[tex]\[
\left( \frac{{\text{Number of households with 1 or 2 children}}}{{\text{Total number of households}}} \right) \times 100
\][/tex]
[tex]\[
\left( \frac{29}{50} \right) \times 100 \approx 58\%
\][/tex]
Therefore, the percentage of households that have one or two children under the age of 5 is approximately [tex]\(58\%\)[/tex].
To summarize, the answers are:
- The percentage of households with two children: [tex]\(32\%\)[/tex]
- The percentage of households with one or two children: [tex]\(58\%\)[/tex]
