Question

The average grade obtained on the test by its 25 students is an 83, with a...

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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