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M 3 Pre-assessment

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Q Please answer each/all of the following five (5) questions (2 points each, 10 points total): 1. Define a z-score. What two pieces of information does this give you about the raw score? 2. Discuss theoretical predictions and empirical outcomes. How do they relate to each other? 3. Discuss the important properties of the standard normal curve. 4. Define representativeness. Why is this concept important? What is the advantage of having data that are representative? 5. Define the central limit theorem. How does this theorem relate to sampling?

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1) A z-score describes the idea about the distance between the data point and mean, it is mainly and technically calculated the number of standard deviations, high or low concerning the population mean (Gau, 2018). It defines the position of raw score regarding the distance of z-score from the mean, at the time of measuring the standard deviation unit, it is also known as a standard score. This z-score is placed on the normal distribution curve; it is important because it systemized the worth of the normal distribution by transforming them into a z-score (Gau, 2018).