Question

a basketball team played six games. in those games, the team won by 7 points, lost by 8, won by 8, won by 9, lost by 4, and won by 12. what was the mean difference in game scores over the six games? the mean difference in game scores over the six games was

Explanation:

Step1: Define the data values

Let wins be positive and losses be negative. So the data set is \(7, - 8,8,9,-4,12\).

Step2: Calculate the sum of the data values

\(7+( - 8)+8 + 9+( - 4)+12=7 - 8+8 + 9-4+12=(7 + 8+9+12)+(-8 - 4)=36-12 = 24\).

Step3: Calculate the mean

The mean \(\bar{x}=\frac{\text{Sum of data values}}{\text{Number of data values}}\). Here, the number of data values \(n = 6\). So \(\bar{x}=\frac{24}{6}=4\).

Answer:

4