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 it found. the results are shown in the table. what is the average of the data?

the average in the change of the amount of water is \square gallons.
(type an integer or a decimal.)

Explanation:

Step1: Find the sum of the data

$$\begin{align*} &2.4 + 0.1+( - 1.2)+1.6 + 2.1+0.7+( - 0.7)+( - 0.3)+2.8+2.6\\ =&(2.4 + 0.1+1.6 + 2.1+0.7+2.8+2.6)+(-1.2 - 0.7 - 0.3)\\ =&(2.4+0.1 + 1.6+2.1+0.7+2.8+2.6)-(1.2 + 0.7+0.3)\\ =&(2.5+1.6+2.1+0.7+2.8+2.6)-2.2\\ =&(4.1+2.1+0.7+2.8+2.6)-2.2\\ =&(6.2+0.7+2.8+2.6)-2.2\\ =&(6.9+2.8+2.6)-2.2\\ =&(9.7+2.6)-2.2\\ =&12.3 - 2.2\\ =&10.1 \end{align*}$$

Step2: Calculate the average

The number of data points \(n = 10\). The average formula is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=10.1\) and \(n = 10\) into the formula: \(\bar{x}=\frac{10.1}{10}=1.01\)

Answer:

\(1.01\)