Question

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.

Answer 1

Peter should choose the median after dropping one test score so he can have the highest percentage possible.

If we calculate the mean of all seven test scores, we get:

(84+71+64+90+75+44+98)/7 = 73.14%

If we calculate the median of all seven test scores, we get:

Arrange the scores in ascending order:

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

The median is 75.

If we drop the lowest score (44) and calculate the mean of the remaining six test scores, we get:

(84+71+64+90+75+98)/6 = 80.5%

If we drop the lowest score (44) and calculate the median of the remaining six test scores, we get:

Arrange the scores in ascending order:

64, 71, 75, 84, 90, 98

The median is 79.5%.

Therefore, Peter should choose the median after dropping one test score to have the highest possible percentage.

Answer 2

A.

Explanation:

Peter should choose to base his report card percentage on the median if he wants to have the highest percentage possible. To calculate the median, Peter would first order the scores from lowest to highest: 44%, 64%, 71%, 75%, 84%, 90%, 98%. Then, he would select the middle score as the median, which is 75%. If Peter drops his lowest score (44%), his percentage based on the median would be 80% ((64%+71%+75%+84%+90%+98%)/6). If he were to choose the mean, his percentage would also be 80%. However, since the median is not affected by extreme values like the 44% score, it is a more reliable measure of central tendency in this case.

I did this on homework b4 and got It right so this Is 100 percent right.