Two sections of a class took the same quiz. section a had 15 students who had a mean score of 80, and section b had 20 students who had a mean score of 90. overall, what was the approximate mean score for all of the students on the quiz?

a. 85.7
b. 85.0
c. none of these
d. 84.3
e. it cannot be determined

A. 85.7

Step-by-step explanation:

Given : Two sections of a class took the same quiz.

Section A had 15 students who had a mean score of 80, and Section B had 20 students who had a mean score of 90.

We know that  ,

Then , for section A :

Similarly in Section B,

Total scores = Sum of scores in sec A+Sum of scores in sec B

=1200+1800=3000

Total students = Students in sec A +Students in sec B

=15+20=35

Now , the mean score for all of the students on the quiz =

Hence, the approximate mean score for all of the students on the quiz = 85.7

Thus , the correct answer is option A. 85.7.

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