To calculate whose mean test score will increase the most, we need to find the difference between their previous mean test score and their mean test score after receiving a 100.
1. For Dana:
Previous mean test score = (68 + 74 + 83 + 80 + 81 + 82) / 6 = 78
Mean test score after receiving a 100 = (68 + 74 + 83 + 80 + 81 + 82 + 100) / 7 = 79.14
Increase in mean test score = 79.14 - 78 = 1.14
2. For Jose:
Previous mean test score = (91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.5
Mean test score after receiving a 100 = (91 + 93 + 97 + 96 + 96 + 96 + 100) / 7 = 95.57
Increase in mean test score = 95.57 - 95.5 = 0.07
3. For Theo:
Previous mean test score = (84 + 88 + 81 + 85 + 77 + 76) / 6 = 81.83
Mean test score after receiving a 100 = (84 + 88 + 81 + 85 + 77 + 76 + 100) / 7 = 84.57
Increase in mean test score = 84.57 - 81.83 = 2.74
4. For Ara:
Previous mean test score = (100 + 98 + 99 + 97 + 100 + 100) / 6 = 98.33
Mean test score after receiving a 100 = (100 + 98 + 99 + 97 + 100 + 100 + 100) / 7 = 99
Increase in mean test score = 99 - 98.33 = 0.67
Therefore, Theo's mean test score will increase the most with a difference of 2.74.
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
• Jose: 91, 93, 97, 96, 96, 96
• Theo: 84, 88, 81, 85, 77, 76
• Ara: 100, 98, 99, 97, 100, 100
1 answer
1 answer