To find out whose mean test score will increase the most, we need to calculate the mean of their previous test scores and then compare it to their new test score of 100.
Ara's mean test score before the latest test is (100+98+99+97+100+100)/6 = 98.33. After the latest test, their new mean score is (100+98+99+97+100+100+100)/7 = 98.57. The increase in mean score is 98.57-98.33 = 0.24.
Jose's mean test score before the latest test is (91+93+97+96+96+96)/6 = 94.83. After the latest test, their new mean score is (91+93+97+96+96+96+100)/7 = 95.57. The increase in mean score is 95.57-94.83 = 0.74.
Theo's mean test score before the latest test is (84+88+81+85+77+76)/6 = 82.83. After the latest test, their new mean score is (84+88+81+85+77+76+100)/7 = 84.57. The increase in mean score is 84.57-82.83 = 1.74.
Dana's mean test score before the latest test is (68+74+83+80+81+82)/6 = 77.0. After the latest test, their new mean score is (68+74+83+80+81+82+100)/7 = 81.43. The increase in mean score is 81.43-77.0 = 4.43.
Therefore, Dana's mean test score will increase the most, with an increase of 4.43.
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? (1 point) Responses Ara: 100, 98, 99, 97, 100, 100 Ara: 100, 98, 99, 97, 100, 100 Jose: 91, 93, 97, 96, 96, 96 Jose: 91, 93, 97, 96, 96, 96 Theo: 84, 88, 81, 85, 77, 76 Theo: 84, 88, 81, 85, 77, 76 Dana: 68, 74, 83, 80, 81, 82
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