A distribution has a mean of 60.0 and a standard deviation of 4.3. The raw score corresponding to a z score of - 1.51 is _________.
A) 53.5
B) 66.5
C) 66.4
D) 53.6

Question

Quizplus · Accepted Answer

We use the formula for converting z score to raw score:
z = (X - μ) / σ

Rearranging the formula to solve for X, we get:

X = z * σ + μ

Substituting the given values, we get:

X = (-1.51) * 4.3 + 60.0
X = 53.5

Therefore, the raw score corresponding to a z score of -1.51 is 53.5. So, the correct answer is A) 53.5.

A Distribution Has a Mean of 60