Theo era, Jose and Dana all got 100% on their latest math test. Their scores on the previous six test are listed. Who’s mean test score will increase the most.
To calculate whose mean test score will increase the most, we need to find the difference between their current average test score and their previous average test score.
Theo:
Previous test scores: 90, 88, 85, 87, 92, 94
Current test score: 100
Previous mean score = (90 + 88 + 85 + 87 + 92 + 94) / 6 = 89.33
Current mean score = (90 + 88 + 85 + 87 + 92 + 94 + 100) / 7 = 91.57
Increase in mean score = 91.57 - 89.33 = 2.24
Jose:
Previous test scores: 95, 91, 93, 87, 94, 88
Current test score: 100
Previous mean score = (95 + 91 + 93 + 87 + 94 + 88) / 6 = 91.33
Current mean score = (95 + 91 + 93 + 87 + 94 + 88 + 100) / 7 = 92.71
Increase in mean score = 92.71 - 91.33 = 1.38
Dana:
Previous test scores: 87, 90, 92, 88, 94, 91
Current test score: 100
Previous mean score = (87 + 90 + 92 + 88 + 94 + 91) / 6 = 89.67
Current mean score = (87 + 90 + 92 + 88 + 94 + 91 + 100) / 7 = 91.57
Increase in mean score = 91.57 - 89.67 = 1.9
Therefore, Theo's mean test score will increase the most by 2.24 points.