For this discussion, identify the appropriate application of standardized scores to reflect on their benefits and to interpret how test scores and measures are commonly presented.
Review Chapter 3 of your course text, which introduces probability and the standard normal distribution. Examine the assumptions and limitations presented in these topics and then consider and discuss the following questions:
- When comparing data from different distributions, what is the benefit of transforming data from these distributions to conform to the standard distribution?
- What role do z-scores play in this transformation of data from multiple distributions to the standard normal distribution?
- What is the relationship between z-scores and percentages?
- In your opinion, does one do a better job of representing the proportion of the area under the standard curve? Give an example that illustrates your answer.