12. Make Sense and Persevere There are ten birdbaths if a park. On the first day of spring, the birdbaths are filled. Several weeks later, the overall change in the water level is found. The results are shown in the table. What is the range of the data?
\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|}
\hline \multicolumn{8}{|c|}{ Changes in Water Level (inches) } \\
\hline 2.4 & 1.4 & -2.3 & 2.9 & 2.3 & -1.2 & -1.4 & -1.8 & 2.5 & 0.9 \\
\hline
\end{tabular}
Answer
Final Answer: The range of the data is \(\boxed{5.2}\) inches.
Step 1 ：Given the data set of changes in water level: \(2.4, 1.4, -2.3, 2.9, 2.3, -1.2, -1.4, -1.8, 2.5, 0.9\)
Step 2 ：The range of a set of data is the difference between the highest and lowest values in the set.
Step 3 ：First, identify the highest and lowest values in the data set.
Step 4 ：The highest value in the data set is \(2.9\) and the lowest value is \(-2.3\).
Step 5 ：Subtract the lowest value from the highest value to find the range: \(2.9 - (-2.3) = 5.2\)
Step 6 ：Final Answer: The range of the data is \(\boxed{5.2}\) inches.
