Arizona State University - SWU 321 Module 5 Quiz 1)You received an 88 on an exam

Name: Arizona State University - SWU 321 Module 5 Quiz 1)You received an 88 on an exam. The class mean was 84 (SD = 4).
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Statistics Apr 05, 2021

Arizona State University - SWU 321

Module 5 Quiz

1)You received an 88 on an exam. The class mean was 84 (SD = 4). Convert your raw score into a z-score.

Raw scores are created by converting z-scores into standard deviation units.

In a normal distribution, approximately what percentage of scores lie within 2 standard deviations of the mean.

For what do we use z-scores?

The following data presents the number of diabetes cases among youth between 2000-2005. The following distribution is negatively skewed.

In a normal distribution, the mean is always greater than the mode.

In a dataset you are working with, you are interested in describing a variable that consists of the Adverse Childhood Experiences scale. This scale is multi-item and has Likert responses, so you know that you can treat it as an interval level variable. You look at a frequency distribution and the variable is highly positively skewed (fewer people reported many adverse childhood experiences). Which measure of central tendency would be appropriate to describe this variable?

Susan is taking an art history class and a biology class. She received a 31 on her first art history exam (Class Mean = 27; SD = 2) and a 59 on her first biology exam (Class Mean = 55; SD= 3). Susan is eager to compare her relative performance in each class.

1. How can z-scores help Susan compare her grades in these two classes?
2. Compute z-scores for both exams. In which class is Susan doing better? [Please show your calculations]
3. Susan’s friend Brian from art history class says that he scored exactly 3 standard deviations above the mean on their first exam. Did Brian do better or worse than Susan on this exam?

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