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?
Responses:
Ara: 100, 98, 99, 97, 100, 100
Jose: 91, 93, 97, 96, 96, 96
Theo: 84, 88, 81, 85, 77, 76
Dana: 68, 74, 83, 80, 81, 82
Theo's mean test score will increase the most.
Theo's current mean test score is (84+88+81+85+77+76)/6 = 83.5
If Theo scored 100 on the latest math test, his new mean test score will be (84+88+81+85+77+76+100)/7 = 85.14
Therefore, Theo's mean test score will increase by the most from 83.5 to 85.14, an increase of 1.64 points.