Answer:
the grade point average (GPA) of the student is 2.27
If the Dean's list requires a GPA of 3.00 or greater, the student did not make the Dean's list.
Explanation:
Given that:
A student grade are as follows:
B --- 3
F --- 0
B ---- 3
B ----- 3
C ------- 2
Those courses had the corresponding numbers of credit hours 4, 2, 1, 2, and 2.
The grading system assigns quality points to letter grades as follows:
A = 4; B=3; C=2; D=1; F=0
The sample mean simply implies the sum of the products of the value and the weights divided by the total weights;
i.e
![\overline x = (\sum xf)/(n )](https://img.qammunity.org/2021/formulas/mathematics/high-school/idlimrcsaopi9wz6erde5dzdo4uctwig5k.png)
![\overline x = (3(4)+0(2)+3(1)+3(2)+2(2))/(4+2+1+2+2 )](https://img.qammunity.org/2021/formulas/mathematics/high-school/d1pq0xinxh3jozngg9yy975jund9s8mh5y.png)
![\overline x = (12+0+3+6+4)/(11 )](https://img.qammunity.org/2021/formulas/mathematics/high-school/5d44sfn1fa0nr9gzlq0e4lfwtzojdwzn7f.png)
![\overline x = (25)/(11 )](https://img.qammunity.org/2021/formulas/mathematics/high-school/9gd28gbvrgpopdopot6txdcv76fr1jcp21.png)
2.27
the grade point average (GPA) of the student is 2.27
If the Dean's list requires a GPA of 3.00 or greater, the student did not make the Dean's list.