Answer:
The student's GPA for that term is 3.07
Step-by-step explanation:
So this is a problem where we need to compute a weighted arithmetic mean.
To compute the weighted arithmetic mean of a set, we need to multiply each value of the set by their respective weight, add them, and then divide by the sum of the weights.
I will write the set in a {V,W} way, where V is the value(the grade) and W is the weight of V.
So your set G will be
G = {{3.8, 5}, {1.8,3}, {3.1,5}, {3.1,5}}.
Multiplying each value by it's respective weigth and then adding, we have:
3.8*5 + 1.8*3 + 3.1*5 + 3.1*5 = 19 + 5.4 + 15.5 + 15.5 = 55.4
The sum of the weigths is 5 + 3 + 5 + 5 = 18
So the student's GPA for that term, rounded to two decimal places, is: 55.4/18 = 3.07
