To find out whose mean test score will increase the most, we need to calculate the mean score for each student before and after the latest math test.
Dana's mean score before the latest test = (68 + 74 + 83 + 80 + 81 + 82) / 6 = 78
Dana's mean score after the latest test = (68 + 74 + 83 + 80 + 81 + 82 + 100) / 7 = 80.86
Increase in Dana's mean score = 80.86 - 78 = 2.86
Theo's mean score before the latest test = (84 + 88 + 81 + 85 + 77 + 76) / 6 = 82.83
Theo's mean score after the latest test = (84 + 88 + 81 + 85 + 77 + 76 + 100) / 7 = 82.57
Increase in Theo's mean score = 82.57 - 82.83 = -0.26
Jose's mean score before the latest test = (91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.67
Jose's mean score after the latest test = (91 + 93 + 97 + 96 + 96 + 96 + 100) / 7 = 96.14
Increase in Jose's mean score = 96.14 - 95.67 = 0.47
Ara's mean score before the latest test = (100 + 98 + 99 + 97 + 100 + 100) / 6 = 98.33
Ara's mean score after the latest test = (100 + 98 + 99 + 97 + 100 + 100 + 100) / 7 = 98.71
Increase in Ara's mean score = 98.71 - 98.33 = 0.38
Therefore, Dana's mean test score will increase the most with a 2.86 increase.
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)
• Dana: 68, 74, 83, 80, 81, 82
• Theo: 84, 88, 81, 85, 77, 76
• Jose: 91, 93, 97, 96, 96, 96
• Ara: 100, 98, 99, 97, 100, 100
1 answer
1 answer