Ben's mean test score will increase the most because he has the lowest previous mean test score out of all the students. This means that his 100 percent on the latest test will have a greater impact on his mean score compared to the other students.
For example, if we calculate the mean score for each student before the latest test:
- Tina: (60 + 65 + 75 + 85 + 90 + 92) / 6 = 79.5
- 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 = 79.57
- Ben: (90 + 92 + 93 + 95 + 97 + 90 + 100) / 7 = 93.57
- Miguel: (80 + 82 + 90 + 85 + 86 + 84 + 100) / 7 = 86.29
- Shaya: (70 + 80 + 75 + 85 + 90 + 95 + 100) / 7 = 85
As we can see, Ben's mean score increased the most from 92.83 to 93.57, showing that his score had the greatest impact on his mean test score compared to the other students.
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?
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
The correct answer is Ben. Please explain why his mean test score will increase the most.
3 answers
Please make your response more simple.
Ben's mean test score will increase the most because he had the lowest average score before the latest test. This means that his perfect score on the latest test will have the greatest impact on raising his overall average.
1 answer