You are a teacher. Your​ first-period class, with 22 ​students, had a mean score of 85​% on the midterm exam. Your​ second-period class, with 27 ​students, had a mean score of ​87% on the same exam. Does it follow that the mean score for both classes combined is ​86%

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Answer:

I'd say no

Step-by-step explanation:

1st Period

Total Score:

22*85 = 1870

2nd Period

Total Score:

27*87 = 2349

Total Students: 22+27 = 49

Average for both classes = 1870+2349/49

Average: 86.10 (2 d.p)

Based on the combined average of both classes, we can say that A. Yes, because 85% of 22 plus 87% of 27 is 86% of 49, the total number of students.

What is the combined average of both classes?

First find 85% of 22:

= 22 x 0.85

= 18.7

Then find 87% of 27:

= 23.49

The combined average is:

= (18.7 + 23.49) / (22 + 27 students) x 100%

= 42.19 / 49 x 100%

= 86%

So we can conclude that option A is correct.

Find out more on percentages at https://brainly.com/question/22603224.

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