Answer:
The teacher should use the median for Amo and the mean for Javier.
Complete question;
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
Test
Number
Amo’s Scores
Javier’s Scores
1
97
68
2
92
97
3
89
65
4
55
92
5
90
65
What 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.
Attached is the image of their scores
Explanation:
Amo's Score in Ascending Order: 55,89,90,92,97
Javier's Score in Ascending Order: 65,65,68,92,97
For Amo;
Mean = (55+89+90+92+97)/5 = 84.6
Median = 90
For Javier;
Mean = (65+65+68+92+97)/5 = 77.4
Median = 68
Therefore,
Median is higher for Amo and mean is higher for Javier
So, The teacher should use the median for Amo and the mean for Javier.