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)
Responses
Ara: 100, 98, 99, 97, 100, 100
Ara: 100, 98, 99, 97, 100, 100
Jose: 91, 93, 97, 96, 96, 96
Jose: 91, 93, 97, 96, 96, 96
Theo: 84, 88, 81, 85, 77, 76
Theo: 84, 88, 81, 85, 77, 76
Dana: 68, 74, 83, 80, 81, 82
The mean test score for Theo will increase the most because he had the lowest initial mean test score of 80.167, and receiving a perfect score will significantly boost his average.
you sure
Apologies for the confusion in my previous response. Let's calculate the mean test scores for each student using the given data:
Ara: (100 + 98 + 99 + 97 + 100 + 100) / 6 = 99
Jose: (91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.67
Theo: (84 + 88 + 81 + 85 + 77 + 76) / 6 = 82.83
Dana: (68 + 74 + 83 + 80 + 81 + 82) / 6 = 77.67
Now, let's calculate the potential new mean test scores after getting a perfect score:
Ara: (99 + 100) / 2 = 99.5
Jose: (95.67 + 100) / 2 = 97.83
Theo: (82.83 + 100) / 2 = 91.42
Dana: (77.67 + 100) / 2 = 88.83
Therefore, Theo's mean test score will increase the most from 82.83 to 91.42.