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 170 on the exam.
To find the z-score, you use the formula:
z = (X - μ) / σ
where:
X = the score of the person (170)
μ = the mean of the distribution (300)
σ = the standard deviation of the distribution (50)
Plugging in the values:
z = (170 - 300) / 50
z = -130 / 50
z = -2.6
Therefore, the z-score of a person who scored 170 on the exam is -2.6.