In a mathematics class, half of the students scored 42 on an achievement test

Question

In a mathematics class, half of the students scored 42 on an achievement test. With the exception of a few students who scored 78, the remaining students scored 53. Which of the following statements is true about the distribution of scores?

A.) The mean is greater then the median

B.) The mean and median are the same

C.) The mean is less than the median

D.) The mean is less than the mode

Answer 1

If half the students scored 42 and some scored 53, the median must be (53 + 42)/2 = 47.5.

If the other half all scored 53, the mean would be the same, but the few 78s is going to raise the mean.

The mode is 42.

A.