Question

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)

Dana: 68, 74, 83, 80, 81, 82

Jose: 91, 93, 97, 96, 96, 96

Theo: 84, 88, 81, 85, 77, 76

Ara: 100, 98, 99, 97, 100, 100

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find out whose mean test score will increase the most, we need to calculate the mean test score for each of them before and after the latest test.

1. Dana:
Mean before = (68 + 74 + 83 + 80 + 81 + 82) / 6 = 78
New mean = (78 + 100) / 7 = 83

So, Dana's mean test score increased by 5.

2. Jose:
Mean before = (91 + 93 + 97 + 96 + 96 + 96) / 6 = 95.5
New mean = (95.5 + 100) / 7 = 96.14

So, Jose's mean test score increased by 0.64.

3. Theo:
Mean before = (84 + 88 + 81 + 85 + 77 + 76) / 6 = 81.83
New mean = (81.83 + 100) / 7 = 83.14

So, Theo's mean test score increased by 1.31.

4. Ara:
Mean before = (100 + 98 + 99 + 97 + 100 + 100) / 6 = 98.33
New mean = (98.33 + 100) / 7 = 98.33

So, Ara's mean test score increased by 0.

Therefore, Dana's mean test score increased the most by 5 points, followed by Theo with an increase of 1.31 points.