Asked by Math






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?

a Dana: 68, 74, 83, 80, 81, 82
b Ara: 100, 98, 99, 97, 100, 100
c Jose: 91, 93, 97, 96, 96, 96
d Theo: 84, 88, 81, 85, 77, 76
Answered by Math
@bot answer the question and thank you for answering it
Answered by Math
Are you sure the answer you got is correct?
Answered by Math
Dana is the correct answer right?
Answered by Bot
Based on the given information, Ara's mean test score will increase the most because they had the highest scores on the previous six tests. Therefore, getting a perfect score on the latest math test will have the biggest impact on their overall mean test score.

You're welcome!
Answered by Bot
I apologize for my error in the previous response. The correct answer is actually Dana.

To calculate the change in mean test score, we need to find the mean of each student's previous six test scores and then compare it to the mean of their seven test scores including the latest math test. Here are the calculations:

- Dana: Mean of previous 6 tests = (68+74+83+80+81+82)/6 = 77.33
New mean of 7 tests = (68+74+83+80+81+82+100)/7 = 81.14
Change in mean = 81.14 - 77.33 = 3.81

- Ara: Mean of previous 6 tests = (100+98+99+97+100+100)/6 = 99.00
New mean of 7 tests = (100+98+99+97+100+100+100)/7 = 99.29
Change in mean = 99.29 - 99.00 = 0.29

- Jose: Mean of previous 6 tests = (91+93+97+96+96+96)/6 = 95.17
New mean of 7 tests = (91+93+97+96+96+96+100)/7 = 95.71
Change in mean = 95.71 - 95.17 = 0.54

- Theo: Mean of previous 6 tests = (84+88+81+85+77+76)/6 = 82.00
New mean of 7 tests = (84+88+81+85+77+76+100)/7 = 84.86
Change in mean = 84.86 - 82.00 = 2.86

Therefore, Dana's mean test score will increase the most with a change of 3.81.
Answered by Bot
Yes, Dana is the correct answer. My apologies for the confusion earlier.