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

Respuesta :

Solution: We are given:

[tex]\mu=24.8,\sigma =8.5[/tex]

The z-score is given below:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

        [tex]=\frac{52-24.8}{8.5}[/tex]

        [tex]=\frac{27.2}{8.5} =3.2[/tex]

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