weighted mean - gpa
TRANSCRIPT
3.1 - 1
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits GradeEnglish Composition 3 AIntroduction to Psychology 3 CBiology 4 BPhysical Education 2 D
3.1 - 2
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits GradeEnglish Composition 3 A Introduction to Psychology 3 CBiology 4 BPhysical Education 2 D
First convert each letter grade into quality points.
3.1 - 3
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits GradeEnglish Composition 3 A (4 points)Introduction to Psychology 3 CBiology 4 BPhysical Education 2 D
First convert each letter grade into quality points.
3.1 - 4
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits GradeEnglish Composition 3 A (4 points)Introduction to Psychology 3 C (2 points)Biology 4 BPhysical Education 2 D
First convert each letter grade into quality points.
3.1 - 5
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits GradeEnglish Composition 3 A (4 points)Introduction to Psychology 3 C (2 points)Biology 4 B (3 points)Physical Education 2 D
First convert each letter grade into quality points.
3.1 - 6
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits GradeEnglish Composition 3 A (4 points)Introduction to Psychology 3 C (2 points)Biology 4 B (3 points)Physical Education 2 D (1 point)
First convert each letter grade into quality points.
3.1 - 7
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits GradeEnglish Composition 3 A (4 points)Introduction to Psychology 3 C (2 points)Biology 4 B (3 points)Physical Education 2 D (1 point)
GPA stands for grade point average and is calculated using a weighted mean
3.1 - 8
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits GradeEnglish Composition 3 A (4 points)Introduction to Psychology 3 C (2 points)Biology 4 B (3 points)Physical Education 2 D (1 point)
GPA stands for grade point average and is calculated using a weighted mean
w
xwX
)(
3.1 - 9
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, xEnglish Composition 3 A (4 points)Introduction to Psychology 3 C (2 points)Biology 4 B (3 points)Physical Education 2 D (1 point)
GPA stands for grade point average→ the grades are your x variable→ the credits are your weights w
w
xwX
)(
3.1 - 10
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, xEnglish Composition 3 A (4 points)Introduction to Psychology 3 C (2 points)Biology 4 B (3 points)Physical Education 2 D (1 point)
w
xwX
)( Create a column for w∙x
3.1 - 11
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points)Introduction to Psychology 3 C (2 points)
Biology 4 B (3 points)Physical Education 2 D (1 point)
w
xwX
)( Create a column for w∙x
3.1 - 12
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points) 3(4) = 12Introduction to Psychology 3 C (2 points)
Biology 4 B (3 points)Physical Education 2 D (1 point)
w
xwX
)( Create a column for w∙x
3.1 - 13
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points) 3(4) = 12Introduction to Psychology 3 C (2 points) 3(2) = 6
Biology 4 B (3 points)Physical Education 2 D (1 point)
w
xwX
)( Create a column for w∙x
3.1 - 14
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points) 3(4) = 12Introduction to Psychology 3 C (2 points) 3(2) = 6
Biology 4 B (3 points) 4(3) = 12Physical Education 2 D (1 point)
w
xwX
)( Create a column for w∙x
3.1 - 15
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points) 3(4) = 12Introduction to Psychology 3 C (2 points) 3(2) = 6
Biology 4 B (3 points) 4(3) = 12Physical Education 2 D (1 point) 2(1) = 2
w
xwX
)( Create a column for w∙x
3.1 - 16
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points) 3(4) = 12Introduction to Psychology 3 C (2 points) 3(2) = 6
Biology 4 B (3 points) 4(3) = 12Physical Education 2 D (1 point) 2(1) = 2
w
xwX
)( Sum the column of w∙x
3.1 - 17
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points) 3(4) = 12Introduction to Psychology 3 C (2 points) 3(2) = 6
Biology 4 B (3 points)Physical Education 2 D (1 point)
w
xwX
)( Sum the column of w∙x
4(3) = 12 2(1) = 2
Σ(w∙x ) = 32
3.1 - 18
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points) 3(4) = 12Introduction to Psychology 3 C (2 points) 3(2) = 6
Biology 4 B (3 points)Physical Education 2 D (1 point)
w
xwX
)(
Sum the column of w
4(3) = 12 2(1) = 2
Σ(w∙x ) = 32
3.1 - 19
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points) 3(4) = 12Introduction to Psychology 3 C (2 points) 3(2) = 6
Biology 4 B (3 points)Physical Education 2 D (1 point)
w
xwX
)(
Sum the column of w
4(3) = 12 2(1) = 2
Σ(w∙x ) = 32Σw = 12
3.1 - 20
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points) 3(4) = 12Introduction to Psychology 3 C (2 points) 3(2) = 6
Biology 4 B (3 points)Physical Education 2 D (1 point)
w
xwX
)(
4(3) = 12 2(1) = 2
Σ(w∙x ) = 32Σw = 12
3.1 - 21
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points) 3(4) = 12Introduction to Psychology 3 C (2 points) 3(2) = 6
Biology 4 B (3 points)Physical Education 2 D (1 point)
4(3) = 12 2(1) = 2
Σ(w∙x ) = 32Σw = 12
1232)(
w
xwX
3.1 - 22
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points) 3(4) = 12Introduction to Psychology 3 C (2 points) 3(2) = 6
Biology 4 B (3 points)Physical Education 2 D (1 point)
4(3) = 12 2(1) = 2
Σ(w∙x ) = 32Σw = 12
67.21232)(
w
xwX
3.1 - 23
Example 11: Grade Point AverageA student received the following grades. Find the corresponding GPA.
Course Credits, w Grade, x w∙xEnglish Composition 3 A (4 points) 3(4) = 12Introduction to Psychology 3 C (2 points) 3(2) = 6
Biology 4 B (3 points)Physical Education 2 D (1 point)
4(3) = 12 2(1) = 2
Σ(w∙x ) = 32Σw = 12
67.21232)(
w
xwX
The grade point average is 2.67.