Question

Prof Liu gave the same quiz to the students in her morning class and in her afternoon class. the average score for the two classes combined was 84. which class had more students ?(1) The average score for the students in the morning class was 80(2) the average score for the students in the afternoon class was 86

Answer 1

The number of students is more in afternoon class.

Explanation:

The average marks for the two classes combined = 84

• Average marks for the morning class, avg1 = 80

• Average marks for afternoon class, avg2 = 86

The final average marks would be shifted more towards the average marks of the class with more number of students.

This is because the formula for final mean is

=
`(avg1 * number of morning students + avg2 * number of afternoon students)/(total number of students)`

Since final mean 84 is closer to average of class 2 which is 86, hence the number of students is more in afternoon class.