To find out whose mean test score will increase the most, we need to calculate the mean test scores for each student on the previous six tests and compare it to their mean score with the 100 percent added.
For Jose:
Mean of previous six tests = (91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.5
New mean with 100 added = (95.5*6 + 100) / 7 = 95.7
For Ara:
Mean of previous six tests = (100 + 98 + 99 + 97 + 100 + 100) / 6 = 99
New mean with 100 added = (99*6 + 100) / 7 = 99.1
For Theo:
Mean of previous six tests = (84 + 88 + 81 + 85 + 77 + 76) / 6 = 81.8
New mean with 100 added = (81.8*6 + 100) / 7 = 86.9
For Dana:
Mean of previous six tests = (68 + 74 + 83 + 80 + 81 + 82) / 6 = 77.7
New mean with 100 added = (77.7*6 + 100) / 7 = 81.3
Therefore, Theo's mean test score will increase the most with the addition of the 100 percent score.
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 Jose: 91, 93, 97, 96, 96, 96 Jose: 91, 93, 97, 96, 96, 96 Ara: 100, 98, 99, 97, 100, 100 Ara: 100, 98, 99, 97, 100, 100 Theo: 84, 88, 81, 85, 77, 76 Theo: 84, 88, 81, 85, 77, 76 Dana: 68, 74, 83, 80, 81, 82
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