Question: A math instructor is teaching an algebra course, statistics course and calculus course. After the final exams are completed the instructor would like to know

A math instructor is teaching an algebra course, statistics course and calculus course.

After the final exams are completed the instructor would like to know which class had most consistent scores on the final exam and which class had the greatest variation in scores on the final exam.

The results from the final exam for these three classes are shown below:

  • Algebra class: Mean Final Exam score of 85.2, standard deviation of 3.9
  • Statistics class: Mean Final Exam score of 81.7, standard deviation of 5.3
  • Calculus class: Mean Final Exam score of 84.3, standard deviation of 1.8

Based on these results, which class had most consistent scores on the final exam and which class had the greatest variation in scores on the final exam.

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