Questions: A. The given data are discrete because they can only have whole number values B. The given data are discrete because they can take on any real value. C. The given data are continuous because they can take on any real value. D. The given data are continuous because they can only have whole number values (b) Construct a frequency distribution of the data. Televisions Frequency 0 1 1 15 2 13 3 7 4 3 5 1 (c) Construct a relative frequency distribution of the data. Televisions Relative Frequency 0 0.025 1 0.375 2 0.325 3 0.175 4 0.075 5 0.025 (d) What percentage of households in the survey have exactly three televisions? %

Solution Steps

To solve the given questions, we need to follow these steps:

1. Frequency Distribution: The frequency distribution is already provided in the table.
2. Relative Frequency Distribution: The relative frequency distribution is also provided in the table.
3. Percentage Calculation: To find the percentage of households with exactly three televisions, we need to use the relative frequency for three televisions and convert it to a percentage.

The frequency distribution of the data is given as follows:

\[ \begin{array}{cc} \hline \text{Televisions} & \text{Frequency} \\ \hline 0 & 1 \\ 1 & 15 \\ 2 & 13 \\ 3 & 7 \\ 4 & 3 \\ 5 & 1 \\ \end{array} \]

The relative frequency distribution of the data is given as follows:

\[ \begin{array}{cc} \hline \text{Televisions} & \text{Relative Frequency} \\ \hline 0 & 0.025 \\ 1 & 0.375 \\ 2 & 0.325 \\ 3 & 0.175 \\ 4 & 0.075 \\ 5 & 0.025 \\ \end{array} \]

To find the percentage of households with exactly three televisions, we use the relative frequency for three televisions:

\[ \text{Relative Frequency} = 0.175 \]

Convert this to a percentage:

\[ \text{Percentage} = 0.175 \times 100 = 17.5\% \]

Final Answer