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# Median and mean

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In this video, we introduce the median and mean by asking, Do you have more than the average number of feet?The example given is a sample of pedestrians, one of whom only has one foot due to cancer surgery. As a result, themean is less than the median. We show the process of calculating a median  by lining up the sample from smallestto tallest  and of a mean  the arithmetic calculations  and emphasize that while someone typically has the medianlevel of some characteristic (e.g., 2 feet), often no-one has the mean level (e.g., 1.89 feet). This demonstrates thedifference between a calculated parameter (such as a mean) and one that can be directly observed (such as themedian). The video ends by discussing medical risk, arguing that because median risk is generally below mean risk(often, a small number of individuals are at greatly increased risk), many of us get treatments or tests we dont need.UseThis video fits in well in the introductory part of any statistics course because a) it covers basic subjects; b) it takessomething that seems quite trivial, means and medians, and then connects them to a concrete application,overdiagnosis and overtreatment in the medicine. The video can be accompanied by Chapters 2 and 5 in What is a pvalueanyway?In the video, the statistician says that scientific statements have to be very precise and we have to thinkhard about whether they are true. This can lead to discussions about:a. How precise is very precise? Should we say e.g., that the mean height of US men is 510 orwould it be more scientific to say that it is 510.23416?

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