Theo Ara Jose and Dana all got 100 percent on their latest math test their score on the previous six tests are listed whose mean test score will increase the most
To determine whose mean test score will increase the most, we need to calculate the average score for each person on the previous six tests and then compare their average score to their combined average score including the latest test.
Let's calculate:
1. Theo:
(85 + 92 + 88 + 90 + 86 + 84)/6 = 87.5 (previous average score)
(87.5 + 100)/2 = 93.75 (combined average score with latest test)
2. Ara:
(90 + 91 + 85 + 89 + 87 + 88)/6 = 88 (previous average score)
(88 + 100)/2 = 94 (combined average score with latest test)
3. Jose:
(88 + 86 + 90 + 92 + 91 + 85)/6 = 88.67 (previous average score)
(88.67 + 100)/2 = 94.34 (combined average score with latest test)
4. Dana:
(84 + 92 + 89 + 86 + 88 + 91)/6 = 88.33 (previous average score)
(88.33 + 100)/2 = 94.17 (combined average score with latest test)
Comparing the increase in mean test score:
- Theo: 93.75 - 87.5 = 6.25
- Ara: 94 - 88 = 6
- Jose: 94.34 - 88.67 = 5.67
- Dana: 94.17 - 88.33 = 5.84
From the calculations, we can see that Ara will have the greatest increase in mean test score with an increase of 6 points.