Question

a basketball team played six games. in those games, the team won by 8 points, lost by 15, won by 9, won by 11, lost by 1, and won by 12. what was the mean difference in game scores over the six games?

Explanation:

Step1: Define the data values

Let the point - differences be \(8\), \(- 15\), \(9\), \(11\), \(-1\), \(12\) (a win is a positive value and a loss is a negative value).

Step2: Calculate the sum of the data values

\[S=8+( - 15)+9 + 11+( - 1)+12=8 - 15+9+11 - 1+12=(8 + 9+11+12)+(-15 - 1)=40-16 = 24\]

Step3: Calculate the mean

The number of data - points \(n = 6\). The mean \(\bar{x}=\frac{S}{n}\). So \(\bar{x}=\frac{24}{6}=4\)

Answer:

4