Question

1. a basketball team played six games. in those games, the team won by 7 points, lost by 20, won by 8, won by 11, lost by 3, and won by 9. which was the mean amount by which the team won or lost over the six games? a -3 points b 2 points c 3 points d 6 points

Explanation:

Step1: Define wins and losses

Let wins be positive and losses be negative. So the values are \(7, - 20,8,11,-3,9\).

Step2: Calculate the sum

Sum \(S=7+( - 20)+8 + 11+( - 3)+9\)
\[

$$\begin{align*} S&=(7 + 8+11 + 9)+(-20-3)\\ &=35-23\\ &=12 \end{align*}$$

\]

Step3: Calculate the mean

The number of games \(n = 6\). Mean \(\bar{x}=\frac{S}{n}=\frac{12}{6}=2\)

Answer:

B. 2 points