Problem

Compute the grade-point average (aka GPA) for the following student if the frequency represents the number of credit hours earned for each letter grade and value. \begin{tabular}{|c|c|c|} \hline Letter Grade & Value & Frequency \\ \hline A & 4 & 24 \\ \hline B & 3 & 23 \\ \hline C & 2 & 16 \\ \hline D & 1 & 12 \\ \hline F & 0 & 3 \\ \hline \end{tabular}

Solution

Step 1 :Given the table of letter grades, their values, and the frequency of each grade, we are asked to compute the grade-point average (GPA) for the student.

Step 2 :The GPA is calculated by taking the total amount of grade points earned divided by the total amount of credit hours attempted.

Step 3 :The grade points earned for each letter grade can be calculated by multiplying the value of the letter grade by the frequency. The total grade points earned is the sum of these calculations.

Step 4 :The total credit hours attempted is the sum of the frequencies.

Step 5 :Given the values as [4, 3, 2, 1, 0] and frequencies as [24, 23, 16, 12, 3], we calculate the total grade points as 209 and total credit hours as 78.

Step 6 :The GPA is then the total grade points earned divided by the total credit hours attempted, which is \( \frac{209}{78} = 2.6794871794871793 \).

Step 7 :Rounding to two decimal places, the final GPA for the student is \(\boxed{2.68}\).

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Source: https://solvelyapp.com/problems/IS35IEXzVn/

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