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Calculate the Grade Point Average (GPA) given the following courses, credit units, and grades: GST 211 (2 CU, C), GST 201 (2 CU, C), GST 25 (2 CU, B), MAR 317 (3 CU, C), MAR 523 (2 CU, B), Pure MAR 31

Business/Management

ScanSolve AI Answer

Answer

3.75\text{3.75}

Step-by-step solution

5 steps

To calculate the Grade Point Average (GPA), we first need to assign grade points to each letter grade based on the provided scale:

  • A = 5 points
  • B = 4 points
  • C = 3 points
  • D = 2 points
  • E = 1 point
  • F = 0 points

  1. List the courses, credit units, and corresponding grade points.

    Course CodeCredit Unit (CU)GradeGrade Point (GP)CU ×\times GP
    GST 2112C32×3=62 \times 3 = 6
    GST 2012C32×3=62 \times 3 = 6
    GST 252B42×4=82 \times 4 = 8
    MAR 3173C33×3=93 \times 3 = 9
    MAR 5232B42×4=82 \times 4 = 8
    Pure MAR 3112A52×5=102 \times 5 = 10
    Pure MAR 3132B42×4=82 \times 4 = 8
    Pure MAR 3151A51×5=51 \times 5 = 5

  2. Calculate the sum of (Credit Unit ×\times Grade Point).

    ∑(CU×GP)=6+6+8+9+8+10+8+5=60\sum (\text{CU} \times \text{GP}) = 6 + 6 + 8 + 9 + 8 + 10 + 8 + 5 = 60

  3. Calculate the total sum of Credit Units.

    ∑CU=2+2+2+3+2+2+2+1=16\sum \text{CU} = 2 + 2 + 2 + 3 + 2 + 2 + 2 + 1 = 16

  4. Calculate the GPA using the formula

    GPA=∑(Credit Unit×Grade Point)∑Credit Unit\text{GPA} = \frac{\sum (\text{Credit Unit} \times \text{Grade Point})}{\sum \text{Credit Unit}} GPA=6016=3.75\text{GPA} = \frac{60}{16} = 3.75

  5. Present the calculation in R language.

    # Define credit units for each course
credit_units <- c(2, 2, 2, 3, 2, 2, 2, 1)

# Define grade points for each course based on the given grades (C=3, B=4, A=5)
grade_points <- c(3, 3, 4, 3, 4, 5, 4, 5)

# Calculate the product of credit units and grade points for each course
cu_gp_product <- credit_units * grade_points

# Calculate the sum of (credit units * grade points)
sum_cu_gp <- sum(cu_gp_product)

# Calculate the total sum of credit units
total_credit_units <- sum(credit_units)

# Calculate the GPA
gpa <- sum_cu_gp / total_credit_units

# Print the GPA
print(paste("The calculated GPA is:", gpa))

    The calculated GPA is 3.75\text{3.75}.

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