heo, 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)ResponsesJose: 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

Ara's mean test score will increase the most because they have consistently high scores and getting a 100 on the latest test will have a significant impact on their mean test score.

this is wrong

I apologize for the error. Let's calculate the mean test score for each student to determine whose mean test score will increase the most:

Jose: (91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.83
Theo: (84 + 88 + 81 + 85 + 77 + 76) / 6 = 82.83
Dana: (68 + 74 + 83 + 80 + 81 + 82) / 6 = 77.67
Ara: (100 + 98 + 99 + 97 + 100 + 100) / 6 = 98.33

To determine whose mean test score will increase the most, we need to compare the difference between their previous mean test score and the new mean test score after getting 100 on the latest test:

Jose: 100 - 95.83 = 4.17
Theo: 100 - 82.83 = 17.17
Dana: 100 - 77.67 = 22.33
Ara: 100 - 98.33 = 1.67

Therefore, Dana's mean test score will increase the most with a difference of 22.33.