This unit introduces four types of measurement scales -- nominal, ordinal, interval, and ratio -- and considers their uses and limitations. The question, When may two measurements be compared meaningfully? is posed and answered. The concept of utility is introduced. Students learn to interpret different measurement scales, see a variety of uses of meausrement scales, and learn to invent new scales to solve problems.
Table of Contents:
1. INTRODUCTION
2. TYPES OF MEASUREMENT SCALES
2.1 Nominal Scales
2.2 Ordinal Scales
2.3 Interval Scales
2.4 Ratio Scales
3. HISTORICAL DEVELOPMENT OF A MEASUREMENT SCALE
4. WHY ALL THE INTEREST IN MEASUREMENT SCALES?
5. COMPARING MEASUREMENTS
6. USING MEASUREMENT SCALES IN DECISION MAKING - UTILITY
7. SUMMARY
8. EXERCISES
9. SOLUTIONS TO EXERCISES
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COMAP develops curriculum resources, professional development programs, and contest opportunities that are multidisciplinary, academically rigorous, and fun for educators and students. COMAP's educational philosophy is centered around mathematical modeling: using mathematical tools to explore real-world problems.