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 win and loss as positive and negative

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

Step2: Sum the values

Sum \(= 7 - 20 + 8 + 11 - 3 + 9\)
\(= (7 + 8 + 11 + 9) + (-20 - 3)\)
\(= 35 - 23\)
\(= 12\)

Step3: Calculate the mean

Mean \(= \frac{\text{Sum}}{\text{Number of games}} = \frac{12}{6} = 2\)

Answer:

B. 2 points