Theo, Ara, Jose, and Dana all earned scores of 100% on their latest math test. Their scores on the previous six tests are listed. Whose mean test score will increase the most?

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

1 answer

Let's calculate the mean test scores for each student:

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

After the 7th test, the mean test scores will be:

Dana: (68 + 74 + 83 + 80 + 81 + 82 + 100) / 7 = 82
Theo: (84 + 88 + 81 + 85 + 77 + 76 + 100) / 7 = 83.86
Jose: (91 + 93 + 97 + 96 + 96 + 96 + 100) / 7 = 95.4
100, 98, 99, 97, 100, 100

Theo's mean test score will increase the most by approximately 2.86.