# Normal Distrabution

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.

Guided Response: Review your classmates’ posts. Respond substantively to at least three peers. What did you find useful about their explanations and examples? What suggestions would you make for improvement? Ask a question for further clarification as to the meaning and use of the z-scores.