A set of scores has a μ = 65 and a σ = 12. Lucinda's z-score was +1.50. What was her raw score?
A) 53
B) 77
C) 83
D) 89

Question

Quizplus · Accepted Answer

To find Lucinda's raw score, we can use the following formula:

z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:

1.50 = (x - 65) / 12

Multiplying both sides by 12, we get:

18 = x - 65

Adding 65 to both sides, we get:

x = 83

Therefore, Lucinda's raw score was 83.

A Set of Scores Has a μ = 65 and a σ