What raw score is at the 16th percentile (15.87 to be exact)when the mean of the distribution is 50 and the standard deviation is 4?
A)54
B)46
C)34
D)There is insufficient information to determine an answer.

Question

Quizplus · Accepted Answer

The 16th percentile corresponds to a z-score of approximately -1. Using the formula X = μ + zσ, where μ is the mean (50) and σ is the standard deviation (4), the raw score is 50 + (-1)(4) = 46.

What Raw Score Is at the 16th Percentile (15