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.