Question

Elaine gets quiz grades of 71, 75, and 64. She gets a 60 on her final exam. Find the weighted mean if the quizzes each count for 20% and the final exam counts for 40% of the final grade. Round to one decimal place.

Answer 1

Answer

Find out the weighted mean .

To prove

As given

Elaine gets quiz grades of 71, 75, and 64.

She gets a 60 on her final exam

if the quizzes each count for 20% and the final exam counts for 40% of the final grade.

20 % is written in the decimal form

$= \frac{20}{100}$

= 0.20

40 % is written in the decimal form

$= \frac{40}{100}$

= 0.40

20% of 71 =  0.20 × 71

               = 14.2

20% of 75 =  0.20 × 75

                 = 15

20% of 64 =  0.20 × 64

                 = 12.8

40% of 60  = 0.40 × 60

                  = 24

Thus

Weighted mean = 14.2 + 15 + 12.8 + 24

                           = 66

Answer 2

1. Quizzes (10% each):

60 x 10/100 = 6
69 x 10/100 = 6.9
68 x 10/100 = 6.8

2. Exam (70%)

65 x 70/100 = 45.5

Add them all up now:

6 + 6.9 + 6.8 + 45.5 = 65.2

Therefore, answer is 65.2