The mean for the population is 80 with a standard deviation of 5.Given a z score of 1.45, what is the raw score?
A) 88.00
B) 90.00
C) 87.25
D) 1.00

Question

Quizplus · Accepted Answer

We can use the z-score formula: z = (x - μ) / σ
Where:
z = 1.45 (given)
μ = 80 (mean)
σ = 5 (standard deviation)
x = raw score (unknown)

Substituting the given values, we get:
1.45 = (x - 80) / 5

Solving for x, we get:
x = 1.45 * 5 + 80 = 87.25

Therefore, the raw score is 87.25, which corresponds to choice C.

The Mean for the Population Is 80 with a Standard