The average grade obtained on the test by its 25 students is an 83, with a standard deviation of 11 points.
a. Approximately how many people received a failing grade (less than 65)?
b. What percentage of people received a grade between a 70 and a 91?
c. What percentage of individuals received a score whose z-score was -.70 or less?
d. What grade is required in order to be in the top 15 percent? The top 10 percent?
e. What percentage of people received a grade between 85 and 95?
f. What percentage of people received a grade of 94 or less?
g. What grade is required to be in the bottom 20%?
h. What z-score is required to be in the top 40%?
i. What percentage of individuals have a z-score between -1 and 1.40?
j. What percentage of individuals have a z-score between 1.05 and 1.40?
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