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 means test score will increase the most?
Dana 68,74,83,80,81,82
Theo 84,88,81,85,77,76
Ara. 100,98,99,97,100,
Jose 91,93,97,96,96,96

Answer 1

To find out whose mean test score will increase the most, we need to find the average of their previous six test scores and compare it to their latest test score.

Dana's mean of previous tests = (68+74+83+80+81+82)/6 = 78

Theo's mean of previous tests = (84+88+81+85+77+76)/6 = 81

Ara's mean of previous tests = (100+98+99+97+100)/5 = 98.8

Jose's mean of previous tests = (91+93+97+95+96+96)/6 = 95.67

Therefore, the mean test score that will increase the most is Dana's, as the difference between her previous mean and her latest test score is (100-78) = 22.