To find out whose mean test score will increase the most, we need to calculate the mean test score for each student before and after the latest test.
Theo's mean score before the latest test = (84 + 88 + 81 + 85 + 77 + 76)/6 = 81.83
Theo's mean score after the latest test = (84 + 88 + 81 + 85 + 77 + 76 + 100)/7 = 83
Dana's mean score before the latest test = (68 + 74 + 83 + 80 + 81 + 82)/6 = 78
Dana's mean score after the latest test = (68 + 74 + 83 + 80 + 81 + 82 + 100)/7 = 82.29
Jose's mean score before the latest test = (91 + 93 + 97 + 96 + 96 + 96)/6 = 95.5
Jose's mean score after the latest test = (91 + 93 + 97 + 96 + 96 + 96 + 100)/7 = 95.43
Ara's mean score before the latest test = (100 + 98 + 99 + 97 + 100 + 100)/6 = 98
Ara's mean score after the latest test = (100 + 98 + 99 + 97 + 100 + 100 + 100)/7 = 98.14
Comparing the increase in mean scores:
Theo: 83 - 81.83 = 1.17 increase
Dana: 82.29 - 78 = 4.29 increase
Jose: 95.43 - 95.5 = -0.07 decrease
Ara: 98.14 - 98 = 0.14 increase
Therefore, Dana's mean test score will increase the most.
E
TOOLS
Statistics Unit Test 8 of 15
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)
Theo: 84, 88, 81, 85, 77, 76
Dana: 68, 74, 83, 80, 81, 82
Jose: 91, 93, 97, 96, 96, 96
Ara: 100, 98, 99, 97, 100, 100
1 answer