Question
In: Statistics and Probability
The GPA of a high school in recent years has a standard deviation of 0.18 and...
The GPA of a high school in recent years has a standard deviation of 0.18 and a mean value of 3.36.
What would the lowest GPA be that a student could have and still be in the top 5 percent of their class? Round to two decimal places.
If a student must be in at least the 80th percentile to qualify for a scholarship, what GPA must the scholarship applicants maintain?
Please show all of your work! Thank you!
Solutions
Expert Solution
mean = 3.36, sd=0.18
a).let, a be the lowest GPA be that a student could have and still be in the top 5 percent of their class .
according to the problem,
[ in any blank cell of excel type =NORMSINV(0.95) ]
the lowest GPA be that a student could have and still be in the top 5 percent of their class will be 3.66.
b)let b be the 80 th percentile.
according to the problem,
[ in any blank cell of excel type =NORMSINV(0.80) ]
If a student must be in at least the 80th percentile to qualify for a scholarship, he must maintain GPA 3.51.
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