Question

1. Over the past 10 years the high school football team has averaged 24.8 points per e standard deviation of 8.5. At the homecoming game, the team scored 52 find and interpret the z-score

Answer 1

Solution: We are given:

$\mu=24.8,\sigma =8.5$

The z-score is given below:

$z=\frac{x-\mu}{\sigma}$

        $=\frac{52-24.8}{8.5}$

        $=\frac{27.2}{8.5} =3.2$

Therefore, the z-score = 3.2.

The interpretation of z-score is that the team's score is 3.2 standard deviation's above the mean