To construct a relative frequency distribution of the data, follow these steps:
1. Determine the Total Number of Households Surveyed:
Add up all the households surveyed:
[tex]\[
17 + 13 + 16 + 2 + 2 = 50
\][/tex]
Thus, the total number of households surveyed is 50.
2. Calculate the Relative Frequencies:
The relative frequency for each number of children under 5 is obtained by dividing the number of households with that number of children by the total number of households.
Here's the calculation for each category:
- For 0 children:
[tex]\[
\text{Relative Frequency} = \frac{17}{50} = 0.34
\][/tex]
- For 1 child:
[tex]\[
\text{Relative Frequency} = \frac{13}{50} = 0.26
\][/tex]
- For 2 children:
[tex]\[
\text{Relative Frequency} = \frac{16}{50} = 0.32
\][/tex]
- For 3 children:
[tex]\[
\text{Relative Frequency} = \frac{2}{50} = 0.04
\][/tex]
- For 4 children:
[tex]\[
\text{Relative Frequency} = \frac{2}{50} = 0.04
\][/tex]
3. Fill in the Relative Frequency Table:
\begin{tabular}{l|l}
\hline
\begin{tabular}{l}
Number of \\
Children under 5
\end{tabular} & \begin{tabular}{l}
Relative \\
Frequency
\end{tabular} \\
\hline 0 & 0.34 \\
\hline 1 & 0.26 \\
\hline 2 & 0.32 \\
\hline 3 & 0.04 \\
\hline 4 & 0.04 \\
\hline
\end{tabular}
These relative frequencies provide a clearer picture of the distribution of the number of children under 5 across the surveyed households.
