Problem Analysis:
The image shows a
Cumulative GPA Calculator spreadsheet. The task is to understand how the
Cumulative GPA of
3.37 was calculated based on the provided data.
#### Key Information from the Image:
1.
Grand Total Credits: 34
2.
Grand Total Points: 114.7
3.
Cumulative GPA: 3.37
4.
Quarter-wise Data:
-
Quarter 1:
- Total Credits: 17
- Total Points: 57.5
- GPA: 3.38
-
Quarter 2:
- Total Credits: 17
- Total Points: 57.2
- GPA: 3.36
-
Quarter 3:
- Total Credits: 0
- Total Points: 0
- GPA: N/A
-
Quarter 4:
- Total Credits: 0
- Total Points: 0
- GPA: N/A
#### Objective:
Explain how the
Cumulative GPA of
3.37 was calculated using the given data.
---
Solution Explanation:
#### Step 1: Understanding GPA Calculation
The formula for calculating GPA is:
\[
\text{GPA} = \frac{\text{Total Points}}{\text{Total Credits}}
\]
-
Total Points: The sum of the points earned in all courses.
-
Total Credits: The sum of the credits of all courses.
#### Step 2: Verify Quarter-wise Data
From the image:
-
Quarter 1:
- Total Credits: 17
- Total Points: 57.5
- GPA: \( \frac{57.5}{17} = 3.38 \) (matches the value in the image)
-
Quarter 2:
- Total Credits: 17
- Total Points: 57.2
- GPA: \( \frac{57.2}{17} = 3.36 \) (matches the value in the image)
-
Quarter 3 and
Quarter 4:
- Both have 0 credits and 0 points, so they do not contribute to the cumulative GPA.
#### Step 3: Calculate Cumulative GPA
The
Cumulative GPA is calculated using the
Grand Total Points and
Grand Total Credits:
\[
\text{Cumulative GPA} = \frac{\text{Grand Total Points}}{\text{Grand Total Credits}}
\]
From the image:
-
Grand Total Credits: 34
-
Grand Total Points: 114.7
Substitute these values into the formula:
\[
\text{Cumulative GPA} = \frac{114.7}{34}
\]
Perform the division:
\[
\frac{114.7}{34} \approx 3.3735
\]
Rounding to two decimal places:
\[
\text{Cumulative GPA} \approx 3.37
\]
#### Step 4: Verify the Calculation
The cumulative GPA matches the value shown in the image (3.37), confirming that the calculation is correct.
---
Final Answer:
\[
\boxed{3.37}
\]
The cumulative GPA of 3.37 was calculated by dividing the
Grand Total Points (114.7) by the
Grand Total Credits (34).
Parent Tip: Review the logic above to help your child master the concept of calculating gpa worksheet.
