Find the specified percentile, quartile, or decile.
-Scores on an English test are normally distributed with a mean of 32.7 and a standard deviation of 8.2. Find the 41st percentile.
A)37.5
B)27.9
C)30.8
D)34.6

Question

Find the specified percentile, quartile, or decile.
-Scores on an English test are normally distributed with a mean of 32.7 and a standard deviation of 8.2. Find the 41st percentile. 
A)37.5
B)27.9
C)30.8
D)34.6

Quizplus · Accepted Answer

To find the 41st percentile of a normally distributed set of scores, you can use the Z-score formula or a statistical table or calculator designed for the normal distribution. The 41st percentile falls below the mean, indicating that it is less than the average score. Using the Z-score formula or a normal distribution calculator with the given mean (32.7) and standard deviation (8.2), you can find that the score corresponding to the 41st percentile is approximately 30.8.

Find the Specified Percentile, Quartile, or Decile