Question

an overweight dog is put on a special diet. use the table to determine the dog’s average weight change per week.

week number	weight change (oz)
2	2.2
3	-0.8
4	-1.6
5	-0.6

select the correct answer.

○ 0.46 ounces per week
○ -2.3 ounces per week
○ -0.46 ounces per week
○ 0.58 ounces per week

Explanation:

Step1: Calculate the sum of weight changes

$$\begin{align*} &(-1.5)+2.2+(-0.8)+(-1.6)+(-0.6)\\ =&(-1.5 - 0.8-1.6 - 0.6)+2.2\\ =&(-4.5)+2.2\\ =&- 2.3 \end{align*}$$

Step2: Calculate the average

The formula for the average $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Here $n = 5$ (the number of weeks) and $\sum_{i=1}^{5}x_{i}=-2.3$. So the average is $\frac{-2.3}{5}=-0.46$

Answer:

$-0.46$ ounces per week