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. The results of the survey are presented in the table below. Complete parts (a) through (c).

\begin{tabular}{|c|c|}
\hline
\multicolumn{2}{|c|}{
Number of Children Under 5
} \\
\hline
Number of Households & Relative Frequency \\
\hline
0 & 0.34 \\
\hline
1 & 0.26 \\
\hline
2 & 0.32 \\
\hline
3 & 0.04 \\
\hline
4 & 0.04 \\
\hline
\end{tabular}

(a) What percentage of households have two children under the age of 5? \\
[tex]$\square$[/tex] [tex]$\%$[/tex] \\
(Type an integer or a decimal. Do not round.)



Answer :

Let's solve the problem step-by-step using the data provided:

1. Summarize the data:
We are given the number of households for different numbers of children under the age of five.

- Households with 0 children: 17
- Households with 1 child: 13
- Households with 2 children: 16
- Households with 3 children: 2
- Households with 4 children: 2

2. Calculate the total number of households surveyed:
We need to sum up the number of households.

[tex]\[ \text{Total households} = 17 + 13 + 16 + 2 + 2 = 50 \][/tex]

3. Identify the number of households with two children under the age of five:
According to the data, the number of households with two children is 16.

4. Calculate the percentage of households with two children:
To find out the percentage, we use the formula:

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

Substituting the values, we get:

[tex]\[ \text{Percentage} = \left(\frac{16}{50} \right) \times 100 = 32.0\% \][/tex]

Therefore, 32% of the households have two children under the age of five.