# Peter’s teacher says he may have his report card percentage based on either the mean or the median

###### Question:

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.

## Answers

A

Step-by-step explanation:

Go with the mean and remove the lowest score

Step-by-step explanation:

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

First find the mean, which is add all the numbers and divide by the number of numbers

(84+ 71+ 64+ 90+ 75+ 44+98)/7

526/7 =75.14

If we drop one score, we would drop the lowest

(84+ 71+ 64+ 90+ 75+98)/6

482 /6 = 80.33

If we use the median, we take the middle, so put the scores from lowest to highest

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

Without removing a score the median is 75%

Removing the lowest score

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

The median is between 75 and 84

(75+84)/2 = 79.5 %

It would be best if Peter's report card percentage was based on the mean and if he could drop a percent, he should drop the 44%.

Step-by-step explanation:

The median (without dropping a score) of this set would be 75%

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

The mean (without dropping a score) of this set would be 75.1428571%

526 ÷ 7 = 75.14 ( 75.1428571 )

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.

First, 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.