Final answer:
Without the number of assessments or the weight of the new grade, an exact new average cannot be calculated. If weighted equally, a 100% grade will increase Carrie's overall percentage above 94%, but her grade will not reach 100% overall due to the way averages are influenced by large sample sizes.
Step-by-step explanation:
If Carrie has a 94% in her math class, introducing a new grade of 100% to the average will obviously increase her overall grade. The exact amount of the increase will depend on how many assessments have already been factored into her 94% and how her school weights different grades (such as tests, homework, quizzes etc.). To calculate the new average, we would ideally need to know the numbers, and weights, of the previous assessments Carrie has completed.
For simplicity, if Carrie's 94% is an average of several equally weighted assessments, the new grade can be calculated by taking the average of all her grades, 94%, and the newly received 100%. If we assume Carrie had completed 10 assessments to get to a 94% average, adding an 11th assessment at 100% could be calculated like this:
- Sum of previous grades = 94% x 10 assessments = 940%
- New sum of grades = 940% + 100% (from the new assessment) = 1040%
- New average grade = 1040% / 11 assessments
However, without knowing the number of assessments or the weighting of the latest assessment, we cannot provide a definitive new average. If the latest 100% is weighted the same as the previous assessments, her grade will increase but not significantly enough to reach 100% overall, since averages tend to 'resist' drastic changes when the sample size is large.