On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 50. Find the z-score of a person who scored 285 on the exam.
To find the z-score of a person who scored 285 on the exam, you would use the formula:
z = (X - μ) / σ
Where:
X = the score (285)
μ = the mean (300)
σ = the standard deviation (50)
Plugging in the values, you get:
z = (285 - 300) / 50
z = -15 / 50
z = -0.3
Therefore, the z-score of a person who scored 285 on the exam is -0.3.