In 2022, the mean SAT score was 1050, and the standard deviation was 216. Calculate the z-score for Mateo’s SAT score of 1200.

Answer 1

To calculate the z-score for Mateo's SAT score of 1200, we will use the formula:

z = (X - μ) / σ

where:
X = Mateo's SAT score = 1200
μ = mean SAT score = 1050
σ = standard deviation = 216

Plug in the values:

z = (1200 - 1050) / 216
z = 150 / 216
z = 0.6944

Therefore, Mateo's z-score for an SAT score of 1200 is 0.6944.