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Exam grades: Measures of Center

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The exam grades for a MAT 143 midterm exam are given below. The professor is trying to determine if she should curve the grades or not. The professor wishes to find the best measure of center to represent the exam scores so that she can make an informed decision. Consider the various measures of center and scenarios when each would be the best measure of center. What would be the best measure of center and why, for the scores given below? Using the best measure of center, should the professor curve the scores?

98 76 81 64 0 72 93 95 88 67 74 80
64 68 91 85 79 100 80 89 92 83 91 31

Please answer each item below labeled one through six with complete sentences.

1. Clearly define the problem with complete sentences.
2. Identify the various strategies (techniques discussed in 6A for finding measures of center) you could use to solve the problem.
3. Choose one of these strategies and explain why you have chosen this strategy.
4. Perform the necessary calculation and give the answer.
5. " What would be the best measure of center and why, for the scores given? Using the best measure of center, should the professor curve the scores?"
6. Reflection on the problem and strategy you took. Would you revise your approach if you did the problem again? If so, how? If no why not? Other observations?

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Solution Summary

The Solution uses the exam grades example to find the best measure of center. The Excel file contains the necessary computations to answer the questions. Explanations are given for each question.

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1
The professor wants to find the best measure of center to represent the exam scores in order to determine if she should curve the grades.

2
There are three techniques used to find measures of center. These three techniques are:
Mean—the mean as also known as the average. It is found by adding all of the scores and dividing by the number of scores.
Median—the median is the middle value. The scores are arranged from lowest to highest and the middle score is found.
Mode—the mode is the ...

Solution provided by:
J Pye, MSc
Education
  • MSc, California State Polytechnic University, Pomona
  • MBA, University of California, Riverside
  • BSc, California State Polytechnic University, Pomona
  • BSc, California State Polytechnic University, Pomona
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