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.
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.
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