Peter’s teacher says he may have his report card percentage based on either the mean or the median and he can drop one test score if he chooses.

84%, 71%, 64%, 90%, 75%, 44%, 98%

Which measure of center should Peter choose so he can have the highest percentage possible?
Peter should choose the mean after dropping one test score.
Peter should choose the mean without dropping one test score.
Peter should choose the median after dropping one test score.
Peter should choose the median without dropping one test score.

We arrange the given 7 percentages in increasing order.

                                      44%, 64%, 71%, 75%, 84%, 90%, 98%

The test score that he should drop is most likely be the lowest, 44%. The numbers after the drop are arranged as follows,

                              64%, 71%, 75%, 84%, 90%, 98%

The average (or mean) of these numbers is 80.33% and the median is 79.5%. Thus, Peter should choose the mean after dropping 44%. The answer should be the first choice. 

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.