7. Tina, Ben, Miguel, and Shaya all got 100 percent on their latest science test. Their scores on the previous six tests are listed. Whose mean test score will increase the most?

Question

Tina: 60, 65, 75, 85, 90, 92
Ben: 90, 92, 93, 95, 97, 90
Miguel: 80, 82, 90, 85, 86, 84
Shaya: 70, 80, 75, 85, 90, 95

Answer 1

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.

Before the latest test:
- Tina: (60 + 65 + 75 + 85 + 90 + 92) / 6 = 77.83
- Ben: (90 + 92 + 93 + 95 + 97 + 90) / 6 = 92.83
- Miguel: (80 + 82 + 90 + 85 + 86 + 84) / 6 = 84.5
- Shaya: (70 + 80 + 75 + 85 + 90 + 95) / 6 = 82.5

After the latest test:
- Tina: (60 + 65 + 75 + 85 + 90 + 92 + 100) / 7 = 82.71
- Ben: (90 + 92 + 93 + 95 + 97 + 90 + 100) / 7 = 93.14
- Miguel: (80 + 82 + 90 + 85 + 86 + 84 + 100) / 7 = 86.71
- Shaya: (70 + 80 + 75 + 85 + 90 + 95 + 100) / 7 = 84.29

The student whose mean test score increased the most is Ben, with an increase of 0.31.

Answer 2

make that more simple por favor

Answer 3

Before the latest test:
- Tina: 77.83
- Ben: 92.83
- Miguel: 84.5
- Shaya: 82.5

After the latest test:
- Tina: 82.71
- Ben: 93.14
- Miguel: 86.71
- Shaya: 84.29

The student whose mean test score increased the most is Ben.