Final answer:
After adding 4 bonus points to the provided averages of each student none of the recalculated scores exceed 100, suggesting that there has been no miscalculation for any of the given students.
Step-by-step explanation:
The student whose total Mrs. alvarez miscalculated can be found by adding 4 bonus points to each listed average and checking to see if it results in a possible total over 100. By examining the choices:
- A) Amanda, whose average was 82 plus 4 bonus points equals 86.
- B) John, whose average was 78 plus 4 bonus points equals 82.
- C) Sarah, whose average was 89 plus 4 bonus points equals 93.
- D) Michael, whose average was 86 plus 4 bonus points would equal 90.
After adding the 4 points, none of the students' totals exceed 100, which would indicate a miscalculation. Therefore, it seems that there is a mistake in the premise of the question as none of the provided students' recalculated averages appear to be miscalculated based on the given information.