Question

there are ten bird baths in a park. on the first day of spring, the bird baths 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?

changes in amount of water (gallons)
1.9
0.7
-1.2
1.5
2.3
1.8
1.4
0.4
2.8
2.1

the range of the amount of water is □ gallons.
(type an integer or a decimal.)

Explanation:

Step1: Find the maximum and minimum values

The maximum value in the data set \(1.9, 0.7, - 1.2, 1.5, 2.3, 1.8, 1.4, 0.4, 2.8, 2.1\) is \(2.8\) and the minimum value is \(-1.2\).

Step2: Calculate the range

The formula for the range \(R\) of a data set is \(R=\text{Max}-\text{Min}\).
Substitute \(\text{Max} = 2.8\) and \(\text{Min}=-1.2\) into the formula: \(R = 2.8-(-1.2)\).
Using the rule \(a - (-b)=a + b\), we have \(R=2.8 + 1.2\).
\(R = 4\).

Answer:

\(4\)