On a standardized exam, the scores are normally distributed with a mean of 125 and a standard deviation of 40. Find the z-score of a person who scored 145 on the exam.
To find the z-score, we can use the formula:
z = (X - μ) / σ
Where:
X = the individual score (145)
μ = the mean (125)
σ = the standard deviation (40)
z = (145 - 125) / 40
z = 20 / 40
z = 0.5
Therefore, the z-score of a person who scored 145 on the exam is 0.5.