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.