Emily has the following regular test scores in her economics class: 83, 91, 66, 89, 85. On her final exam, she scored a 97. When determining students' final averages, the professor drops the lowest regular test score, and then counts the remaining regular tests as 50% of the total average. What will Emily's final average be?
Answer (2)
To calculate Emily's final average in her economics class, we will follow these steps:
Drop the lowest regular test score:
Emily's regular test scores are: 83, 91, 66, 89, and 85.
Among these scores, the lowest score is 66 , so we drop it.
The remaining scores are: 83, 91, 89, and 85.
Calculate the average of the remaining regular test scores:
Add the remaining scores: 83 + 91 + 89 + 85 = 348.
Since there are 4 scores left, divide by 4 to find the average: Average of regular tests = 4 348 = 87.
Incorporate the final exam score into the final average calculation:
Emily's final exam score was 97.
According to the professor's policy:
The average of the remaining regular tests counts as 50% of the final average.
The final exam counts as the other 50%.
Compute the final average:
Combine the scores using their respective weights: Final Average = 0.5 × 87 + 0.5 × 97.
Calculate: Final Average = 43.5 + 48.5 = 92.
Thus, Emily's final average in her economics class is 92 . This weighted approach ensures balance between the ongoing assessments and the final comprehensive exam.
Emily's final average in her economics class is 92 after dropping her lowest test score, calculating the average of the remaining tests, and incorporating her final exam score. The calculations showed the average of her regular tests was 87, and her final exam score was 97, each contributing equally to her final average. Therefore, her final average is balanced between her regular test scores and her exam performance.
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