Find the specified percentile, quartile, or decile.
-A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find the 6th decile.
A)212.5
B)207.8
C)211.3
D)187.5

Question

Find the specified percentile, quartile, or decile.
-A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find the 6th decile. 
A)212.5
B)207.8
C)211.3
D)187.5

Quizplus · Accepted Answer

The 6th decile corresponds to the 60th percentile. For a normal distribution, the z-score for the 60th percentile is approximately 0.253. Using the formula X = μ + zσ, where μ is the mean and σ is the standard deviation, we calculate X = 200 + 0.253(50) = 212.65, which is closest to option A (212.5).

Find the Specified Percentile, Quartile, or Decile