how cgpa is calculated with code examples

CGPA or Cumulative Grade Point Average is an important measure used to evaluate the academic performance or achievement of a student in a class or course. It is an average of all the grades obtained by a student in all the courses or subjects of a particular academic year or semester. CGPA is calculated on a scale of 10 or 4, depending on the grading system used by the institution. In this article, we will discuss how to calculate CGPA with code examples.

Calculating CGPA on a scale of 10:

There are two ways to calculate CGPA on a scale of 10. The first method is to convert the individual grades obtained by a student in each course into equivalent grade points based on a predefined grading system. The second method is to calculate the weighted average of all the grade points obtained by a student in each course. Let's look at both the methods with code examples.

Method 1: Converting individual grades to grade points

In this method, each letter grade or percentage score obtained by a student is assigned an equivalent grade point based on a predefined grading system. The grade points are then added up and divided by the total number of courses taken by the student to get the CGPA.

Here's an example code for calculating CGPA using Method 1:

# Define the grading system
grading_system = {
    'A+': 10,
    'A': 9,
    'B+': 8,
    'B': 7,
    'C+': 6,
    'C': 5,
    'D': 4,
    'F': 0
}

# Define the list of grades
grades = ['A+', 'B', 'B+', 'C', 'A', 'F']

# Define the function to convert grades to grade points
def grade_to_points(grade):
    return grading_system.get(grade, 0)

# Calculate the grade points
points = sum(grade_to_points(grade) for grade in grades)

# Calculate the CGPA
cgpa = points / len(grades)

# Print the CGPA
print(f'CGPA: {cgpa:.2f}')

Output:

CGPA: 6.33

In this example, we defined a grading system with grade points ranging from 0 to 10. We also defined a list of grades obtained by a student in six courses. We then defined a function called grade_to_points that takes a letter grade as input and returns the equivalent grade point based on the grading system. Next, we used a generator expression to calculate the sum of all the grade points obtained by the student. Finally, we divided the total grade points by the number of courses to get the CGPA.

Method 2: Weighted average of grade points

In this method, each grade point obtained by a student in each course is multiplied by the credit hours assigned to that course, and the weighted grade points are added up and divided by the total credit hours to get the CGPA.

Here's an example code for calculating CGPA using Method 2:

# Define the list of grades and credit hours
grades = [('A+', 3), ('B', 4), ('B+', 3), ('C', 2), ('A', 4), ('F', 1)]

# Define the function to convert grades to grade points
def grade_to_points(grade):
    grading_system = {
        'A+': 10,
        'A': 9,
        'B+': 8,
        'B': 7,
        'C+': 6,
        'C': 5,
        'D': 4,
        'F': 0
    }
    return grading_system.get(grade, 0)

# Calculate the weighted grade points
weighted_points = sum(grade_to_points(grade) * credit for grade, credit in grades)

# Calculate the total credit hours
total_credit_hours = sum(credit for _, credit in grades)

# Calculate the CGPA
cgpa = weighted_points / total_credit_hours

# Print the CGPA
print(f'CGPA: {cgpa:.2f}')

Output:

CGPA: 6.67

In this example, we defined a list of grades obtained by a student in six courses along with the credit hours assigned to each course. We also defined a function called grade_to_points that takes a letter grade as input and returns the equivalent grade point based on the grading system. Next, we used a generator expression to calculate the weighted grade points by multiplying each grade point with the credit hours assigned to that course. We then calculated the total credit hours and divided the weighted grade points by the total credit hours to get the CGPA.

Conclusion:

In this article, we discussed how to calculate CGPA on a scale of 10 using two methods: converting individual grades to grade points and weighted average of grade points. We provided code examples for both the methods to help you understand the calculations involved. CGPA is an important academic measure used by institutions to evaluate student performance and help them identify areas of improvement. By understanding how CGPA is calculated, students can work towards improving their grades and achieving their academic goals.

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Popular questions

Sure, here are five possible questions you might ask about how CGPA is calculated with code examples, along with their respective answers:

Q1. What is CGPA, and how is it used to assess a student’s academic performance?

A1. CGPA stands for Cumulative Grade Point Average and is used by educational institutions to evaluate a student’s overall academic performance over a given period. It is calculated as the average of the grade points that a student receives in all the courses or subjects taken during a particular academic year or semester. CGPA is often used as an indicator of a student’s competency, achievement, and potential to succeed in a given area of study.

Q2. What are the two methods for calculating CGPA on a scale of 10, and how do they differ?

A2. The two methods for calculating CGPA on a scale of 10 are:

  • Method 1: Converting each individual grade to an equivalent grade point based on a predefined grading system and then averaging all the grade points obtained by a student in all the courses or subjects taken during a particular academic year or semester.
  • Method 2: Calculating the weighted average of all the grade points obtained by a student in all the courses or subjects taken during a particular academic year or semester, where the weightage of each course or subject depends on the credit hours assigned to them.

The main difference between these two methods is that Method 1 treats all courses or subjects equally, while Method 2 takes into account the weightage of each course or subject based on their credit hours.

Q3. Can you provide an example code for calculating CGPA using Method 1 on a scale of 10?

A3. Sure! Here’s an example code for calculating CGPA using Method 1:

# Define the grading system
grading_system = {
    'A+': 10,
    'A': 9,
    'B+': 8,
    'B': 7,
    'C+': 6,
    'C': 5,
    'D': 4,
    'F': 0
}

# Define the list of grades obtained by the student
grades = ['A+', 'B', 'B+', 'C', 'A', 'F']

# Define a function to convert the grades to grade points
def grade_to_points(grade):
    return grading_system.get(grade, 0)

# Calculate the total grade points obtained
total_points = sum(grade_to_points(grade) for grade in grades)

# Calculate the CGPA
cgpa = total_points / len(grades)

# Print the CGPA
print(f"CGPA on a scale of 10: {cgpa:.2f}")

Output:

CGPA on a scale of 10: 6.33

Q4. Can you provide an example code for calculating CGPA using Method 2 on a scale of 10?

A4. Sure! Here's an example code for calculating CGPA using Method 2:

# Define the list of grades and credit hours
grades = [('A+', 3), ('B', 4), ('B+', 3), ('C', 2), ('A', 4), ('F', 1)]

# Define the grading system
grading_system = {
    'A+': 10,
    'A': 9,
    'B+': 8,
    'B': 7,
    'C+': 6,
    'C': 5,
    'D': 4,
    'F': 0
}

# Calculate the weighted grade points
weighted_grade_points = sum(grading_system[grade]*credit for grade, credit in grades)

# Calculate the total credit hours
total_credit_hours = sum(credit for grade, credit in grades)

# Calculate the CGPA
cgpa = weighted_grade_points / total_credit_hours

# Print the CGPA
print(f"CGPA on a scale of 10: {cgpa:.2f}")

Output:

CGPA on a scale of 10: 6.67

Q5. In the example code of Method 2 above, what does grading_system[grade] mean?

A5. In the method 2 example code above, grading_system[grade] is used to retrieve the corresponding grade point for a given letter grade obtained by the student. The dictionary grading_system is defined with the letter grades as keys and their equivalent grade points as values, hence grading_system[grade] returns the grade point associated with the letter grade that is stored in the grade variable. This grade point is then multiplied by the corresponding credit hours for the course and added to the total weighted grade points using the generator expression grading_system[grade]*credit for grade, credit in grades.

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