Question 32203
The answer is NO!
If the average of four students is 55.2, then the sum total of their scores is 4*55.2 = 220.8.
But we are told that their scores are integer values. Therefore the sum total of any number of scores is also an integer.
Since 220.8 is not an integer, then it canot be the sum total of any number of scores.
Therefore we cannot have four students, with integer scores, whose average is 55.2.
It would work with 5 students though.
In fact, this means that the number of students in the class must be a multiple of 5, if the average is 55.2 (= 55 1/5)
Do you think you might get bonus marks if you mention this in your answer ? :)