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

Dana: 68, 74, 83, 80, 81, 82

Ara: 100, 98, 99, 97, 100, 100

Jose: 91, 93, 97, 96, 96, 96

Theo: 84, 88, 81, 85, 77, 76

1 answer

The mean test score is calculated by adding up all the scores and dividing by the number of tests taken.

For Dana:
(68 + 74 + 83 + 80 + 81 + 82) / 6 = 78

For Ara:
(100 + 98 + 99 + 97 + 100 + 100) / 6 = 98

For Jose:
(91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.5

For Theo:
(84 + 88 + 81 + 85 + 77 + 76) / 6 = 82.5

The biggest increase in mean score will be for Theo, going from a mean score of 82.5 to a perfect score of 100, an increase of 17.5 points.