To construct a relative frequency distribution of the data, follow these steps:
1. Determine the total frequency: Sum up the frequencies of each response.
[tex]\[
\text{Total frequency} = 305 + 428 + 927 + 468 + 80 = 2208
\][/tex]
2. Calculate the relative frequency for each response: Divide the frequency of each response by the total frequency and round the result to three decimal places.
- Never:
[tex]\[
\text{Relative Frequency (Never)} = \frac{305}{2208} \approx 0.138
\][/tex]
- Rarely:
[tex]\[
\text{Relative Frequency (Rarely)} = \frac{428}{2208} \approx 0.194
\][/tex]
- Sometimes:
[tex]\[
\text{Relative Frequency (Sometimes)} = \frac{927}{2208} \approx 0.420
\][/tex]
- Most of the time:
[tex]\[
\text{Relative Frequency (Most of the time)} = \frac{468}{2208} \approx 0.212
\][/tex]
- Always:
[tex]\[
\text{Relative Frequency (Always)} = \frac{80}{2208} \approx 0.036
\][/tex]
3. Construct the relative frequency distribution:
\begin{tabular}{|l|c|}
\hline \multicolumn{1}{|c|}{ Response } & \begin{tabular}{c}
Relative \\
Frequency
\end{tabular} \\
\hline
Never & 0.138 \\
Rarely & 0.194 \\
Sometimes & 0.420 \\
Most of the time & 0.212 \\
Always & 0.036 \\
\hline
\end{tabular}
