Question

Kimberly's grade in Algebra is comprised of tests (40%), quizzes (40%), and a final project (20%). Her scores for each of the categories are 82 on tests, 100 on quizzes, and a 84 on her final project. Compute her weighted average for the class. (to the nearest tenth of a percent) A) 86.4% B) 88.6% C) 89.1% D) 89.6%

Answer 1

D) 89.6 %

Average or mean of the given data = 89.6 %

Explanation:

Step(i):-

Given data

X : 82 100 84

P(X=x) : 0.40 0.40 0.20

Step(ii)

Let 'X' be the discrete distribution

Mean of the discrete distribution = ∑ x P( x=x)

= 82 ×0.40 +100 ×0.40 +84 ×0.20

= 89.6

Final answer:-

Average of the given data = 89.6 %