To determine the range of the data set, follow these steps:
1. Identify the smallest value (minimum) in the data set.
2. Identify the largest value (maximum) in the data set.
3. Subtract the minimum value from the maximum value to find the range.
Let's look at the table provided:
\begin{tabular}{|c|c|}
\hline [tex]$kw - h$[/tex] & frequency \\
\hline 500 & 7 \\
\hline 600 & 20 \\
\hline 700 & 26 \\
\hline 800 & 47 \\
\hline 900 & 50 \\
\hline 1000 & 34 \\
\hline 1100 & 12 \\
\hline 1200 & 4 \\
\hline
\end{tabular}
From this table, the smallest value of electric usage is [tex]\( 500 \)[/tex] kilowatt-hours and the largest value of electric usage is [tex]\( 1200 \)[/tex] kilowatt-hours.
Now, calculate the range:
[tex]\[ \text{Range} = \text{Maximum value} - \text{Minimum value} \][/tex]
[tex]\[ \text{Range} = 1200 \text{ kw-h} - 500 \text{ kw-h} \][/tex]
[tex]\[ \text{Range} = 700 \text{ kw-h} \][/tex]
So, the range of the data set is [tex]\( 700 \)[/tex] kilowatt-hours.
