The raw score that corresponds to a Z score of 2.0 obtained from a distribution with a mean of 80 and a standard deviation of 10 is
A)82
B)90
C)100
D)170

Question

Quizplus · Accepted Answer

The formula to convert a raw score to a Z score is Z = (X - μ)/σ where X represents the raw score, μ represents the mean, and σ represents the standard deviation.

We can rearrange this formula to solve for X:

X = Z*σ + μ

Given that Z = 2.0, μ = 80, and σ = 10, we can plug these values into the formula:

X = 2.0*10 + 80 = 100

Therefore, the raw score that corresponds to a Z score of 2.0 is 100. The answer is choice C.

The Raw Score That Corresponds to a Z Score of 2.0