Theo, Ara, Jose, and Dana all got 100 percent on their latest math test. Their scores on the previous six tests are listed. Whose mean test score will increase the most? (1 point)

• Jose: 91, 93, 97, 96, 96, 96
• Theo: 84, 88, 81, 85, 77, 76
• Dana: 68, 74, 83, 80, 81, 82
• Ara: 100, 98, 99, 97, 100, 100

1 answer

The mean test scores for each student before the latest test are as follows:

Jose: (91+93+97+96+96+96)/6 = 95.5
Theo: (84+88+81+85+77+76)/6 = 82.8
Dana: (68+74+83+80+81+82)/6 = 78
Ara: (100+98+99+97+100+100)/6 = 98.3

After getting 100% on the latest test, the new mean test scores for each student would be:

Jose: (91+93+97+96+96+96+100)/7 = 94.9
Theo: (84+88+81+85+77+76+100)/7 = 83.3
Dana: (68+74+83+80+81+82+100)/7 = 82.7
Ara: (100+98+99+97+100+100+100)/7 = 99.1

Therefore, Ara's mean test score will increase the most from 98.3 to 99.1.