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Weighted Mean A student of the author earned grades of A, C, B, A, and D. Those courses had these corresponding numbers of credit hours: 3, 3, 3, 4, and 1. The grading system assigns quality points to letter grades as follows: A = 4; B = 3; C = 2; D = 1; F = 0. Compute the grade-point average (GPA) and round the result with two decimal places. If the dean鈥檚 list requires a GPA of 3.00 or greater, did this student make the dean鈥檚 list?

Short Answer

Expert verified

The grade-point average (GPA) of a student is 3.14.

Yes, the student has made it to the dean鈥檚 list as the student's GPA is 3.14.

Step by step solution

01

Given information

The grades earned by a student are A,C,B,A, and D.

The credit hours corresponding to the grades are 3,3,3,4, and 1.

The quality points as per the grades are A = 4; B = 3; C = 2; D = 1; F = 0.

02

Describe the weights and data points

The weights are equivalent to the number of credit hours with each grade, which are w=3,3,3,4,1.

The value equivalent of the grades are A = 4; B = 3; C = 2; D = 1; F = 0.

The grades earned by the student are A,C,B,A, and D. Thus, the associated values of x are 4, 2, 3, 4, and 1.

03

Compute the GPA (grade-point average)

The grade-point average is described using the weighted mean formula as follows:

x=wxw

Substitute the values in the formula to compute the GPA (weighted mean) as:

x=34+32+33+44+113+3+3+4+1=4414=3.1429

Thus, the grade mean average is 3.14.

04

Compare the GPA with the dean’s list

The GPA required is 3 or greater.

As the GPA obtained is 3.14, which is higher than 3, the student made it to the dean鈥檚 list.

Thus, with a GPA of 3.14, the student would make it to the dean鈥檚 list.

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