Question

Michael and Melissa both claim to be earning a C average (70%-79%) in their Latin class. The table below shows their grades:

One of the students is wrong about their average. Which one is wrong? Use the mean and the median given to explain how they are wrong.

Answer 1

Both are correct.

Explanation:

This is most probably a trick question because when you solve the mean and median of both you can clearly see that their answers are averages are correct, even the rounding of decimals.

Answer 2

Michael is wrong

Explanation:

You want to know which student has misunderstood their grade computation, given the mean and median scores shown.

Mean

The mean of the test grades is their sum, divided by their number. The values shown for the mean grades are correct.

"Average" is another name for "mean." Thus the students' grade average will be the value of their mean grade, not their median grade.

Michael in incorrect in assuming that his median grade of 70% earns him a C in the class.

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