Let x = the raw score at the 34th percentile.
Given:
μ = 50, the mean
σ = 4, the standard deviation
The z-score is
z = (x - μ)/σ = (x - 50/4
From the normal tables, obtain z = -0.41 for 34% of the area.
Therefore
(x - 50)/4 = -0.41
x - 50 = -1.64
x = 48.36
Answer: 48.36
