Theo, Ara, Jose, and Dana all got 100 percent on their latest mat test. Their scores on the previous six years are listed. Whose mean test score will increase the most?

Question

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

Answer 1

To calculate the mean test score increase for each student, we first need to find the mean test score for the previous six years for each student.

For Jose:
(91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.83

For Ara:
(100 + 98 + 99 + 97 + 100 + 100) / 6 = 99.00

For Theo:
(84 + 88 + 81 + 85 + 77 + 76) / 6 = 82.83

For Dana:
(68 + 74 + 83 + 80 + 81 + 82) / 6 = 77.67

Now, we need to find the increase in mean test score for each student by subtracting their previous mean test score from their latest test score:

Jose: 100 - 95.83 = 4.17
Ara: 100 - 99.00 = 1.00
Theo: 100 - 82.83 = 17.17
Dana: 100 - 77.67 = 22.33

Therefore, the student whose mean test score will increase the most is Dana with an increase of 22.33 points.