Question

"More than 60% of the students scored below the mean on the last test." Can this statement be true? Why or why not?

Answer 1

Hey! Hope that I can help.

This can be true if the 60% of students scored really low and the 40% that didn't score below scored really high. Example: 20 kids in the class. 12 of the kids (60%) got 10% on their last test. 8 of the kids got 100%. The mean: ((10x12)+(100x8)) / 20 = 48. The mean is 48, but 60% of students got 10.

Answer: Yes

Answer 2

The mean is the average of a set of numbers.

So if the remaining 40% of students score 100 points, and the 60% score like 50 points, then the mean would still be 70 points because of the 40% of students that scored super high.

So yes, it can be true.