Grades on the first exam in a statistics class was normally distributed with a mean of...
Grades on the first exam in a statistics class was normally distributed with a mean of 84 and a standard deviation of 4. Your grade on this exam was a 78. What is your approximate percentile ranking on this exam?
A. 6.7%
B. 1.5%
C.93.32%
D. 98.5%
Homework Answers
From the given information,
Consider,
z-score= (78-84)/4
z-score= -1.5
Now,
Using standard normal probability calculator,
P(z< -1.5)=0.0668
Which is approximately
P(z< -1.5)=0.0668=6.7%
Hence,
Option A. is correct answer.
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