How can we avoid misuse or misinterpretation of averages


Discussion Post A

When you were a child, you might have seen a dark brown bottle of a mysterious liquid high on a shelf in your garage, out of your reach. "That's poison," a parent might have warned, pointing to the container. "Don't touch." It nonetheless had some use. It was there for a reason. This example illustrates a principle: Items that can be misused often have a valid use, and vice versa. An average (e.g. mean, median, and mode) is not an exception; it can be useful, but if it is misused or misinterpreted it can be destructive.

In what way might an average be misused? Alternatively, how might an average be misinterpreted? For instance, how can a misinterpreted average pertain to stereotyping? How can we avoid misuse or misinterpretation of averages? Provide a specific example to illustrate your explanation.

Discussion Post A

Using Microsoft Excel, complete the following exercises out of the textbook:

• Exercise 1: Perception of Time - What is average

The data below are times (in seconds) recorded when statistics students participated in an experiment to test their ability to determine when 1 minute (60 seconds) has passed: What do these data suggest about students' perception of time?

53 52 75 62 68 58 49 49

• Exercise 2: Perception of Time - measures in variation

The following times (in seconds) were recorded when statistics students participated in an experiment to test their ability to determine when 1 minute (60 seconds) has passed: What do these data suggest about students' perception of time?

53 52 75 62 68 58 49 49

The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.

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