To find out whose mean test score will increase the most, we need to calculate the mean test score for each student before and after the latest test.
Ara:
Mean before = (100 + 98 + 99 + 97 + 100 + 100) / 6 = 98.33
Mean after = (100 + 98 + 99 + 97 + 100 + 100 + 100) / 7 = 98.57
Increase = 98.57 - 98.33 = 0.24
Jose:
Mean before = (91 + 93 + 97 + 96 + 96 + 96) / 6 = 94.83
Mean after = (91 + 93 + 97 + 96 + 96 + 96 + 100) / 7 = 95.14
Increase = 95.14 - 94.83 = 0.31
Dana:
Mean before = (68 + 74 + 83 + 80 + 81 + 82) / 6 = 77.33
Mean after = (68 + 74 + 83 + 80 + 81 + 82 + 100) / 7 = 82.43
Increase = 82.43 - 77.33 = 5.1
Theo:
Mean before = (84 + 88 + 81 + 85 + 77 + 76) / 6 = 81.83
Mean after = (84 + 88 + 81 + 85 + 77 + 76 + 100) / 7 = 83.29
Increase = 83.29 - 81.83 = 1.46
Therefore, Dana's mean test score will increase the most by 5.1.
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)
• Ara: 100, 98, 99, 97, 100, 100
• Jose: 91, 93, 97, 96, 96, 96
• Dana: 68, 74, 83, 80, 81, 82
• Theo: 84, 88, 81, 85, 77, 76
1 answer