To create a conditional relative frequency table by row from the given frequency table, we need to calculate the relative frequencies within each row separately. To find the relative frequency of each category in a row, divide the frequency of each category by the total frequency for that row. Let's go through the steps for each row.
1. Step-by-Step Calculation:
- For the Internet row:
- Under 40: The frequency is 54, and the total frequency for the Internet row is 77.
[tex]\[
\text{Relative frequency of Under 40 for Internet} = \frac{54}{77} \approx 0.7013
\][/tex]
- 40 or Older: The frequency is 23, and the total frequency for the Internet row is 77.
[tex]\[
\text{Relative frequency of 40 or Older for Internet} = \frac{23}{77} \approx 0.2987
\][/tex]
- For the Cable row:
- Under 40: The frequency is 81, and the total frequency for the Cable row is 173.
[tex]\[
\text{Relative frequency of Under 40 for Cable} = \frac{81}{173} \approx 0.4682
\][/tex]
- 40 or Older: The frequency is 92, and the total frequency for the Cable row is 173.
[tex]\[
\text{Relative frequency of 40 or Older for Cable} = \frac{92}{173} \approx 0.5318
\][/tex]
2. Constructing the Conditional Relative Frequency Table by Row:
[tex]\[
\begin{array}{|c|c|c|}
\hline
\text{Television Viewing Method} & \text{Average Household Age Under 40} & \text{Average Household Age 40 or Older} \\
\hline
\text{Internet} & 0.7013 & 0.2987 \\
\hline
\text{Cable} & 0.4682 & 0.5318 \\
\hline
\end{array}
\][/tex]
Thus, the conditional relative frequency table by row is:
- For Internet:
- Under 40: 0.7013
- 40 or Older: 0.2987
- For Cable:
- Under 40: 0.4682
- 40 or Older: 0.5318
This table represents the relative frequencies of different age groups watching television via Internet or Cable, calculated based on the total frequency within each row.
