Question

The grade distribution for the midterm in your math class with 45 students is given as follows. This is a** weighted average** question.

Ten(10) students earned between 60 & 69, Fifteen(15) students earned between 70 & 79, Fifteen(15) students earned between 80 & 89, and Five(5) students earned between 90 & 100.

A. The highest possible class average (mean) for thsi exam is?

B. THe lowest possible class avearage (mean) for this exam is?

Step 1

Given total number of students in class = 45

number of students earned between 60 and 69 = 10

number of students earned between 70 and 79 = 15

number of students earned between 80 and 89 = 15

number of students earned between 90 and 100 = 5

To get the highest possible class average in exam we need to consider the highest marks are attained by students in each group as shown below

Step 2

The formula to calculate the weighted average is shown below. Here Xi is the number of marks scored and wi is the number of students who got Xi marks. After subst...

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