Q:

Mr. Malloy wants to make sure Amo and Javier get the best possible grade after five tests and can either give a grade based on the median or the mean. TestNumberAmo’s ScoresJavier’s Scores1976829297389654559259065What measure of center should Mr. Malloy use for Amo and for Javier for the best possible grade? The teacher should use the mean for both Amo and Javier.The teacher should use the median for both Amo and Javier.The teacher should use the median for Amo and the mean for Javier.The teacher should use the mean for Amo and the median for Javier.

Accepted Solution

A:
The data has been properly arranged in tabular form and is shown below in the image.

First we need to find the mean and median of scores of both students.

1) For Amo:
Mean = [tex] \frac{97+92+89+55+90}{5}=84.6 [/tex]
Median = Middle Value when data is arranged in ascending order = 90

2) For Javier:
Mean =[tex] \frac{68+97+65+92+95}{5}=83.4 [/tex]
Median = Middle Value when data is arranged in ascending order = 92

For both the students, value of Median is larger then the mean. So in order to give the best possible grade Mr. Malloy should use the median score for both students.