What is the average?
When I am interested in the “average”, I am usually trying to get a picture of a typical case. The words average, typical and some synonyms and semi-synonyms are often attempts to get a feeling about a phenomenon. I was interested in how long people often spend in hospice, a semi-medical service for those thought to be close to death.
The best book on actual hospice experience I have seen is “The In-Between” by Vlahos, a hospice nurse.
I wondered how long the typical period between a physician seeing signs that say this patient has 6 months or less to live and that patient actually dying. The book “How to Lie with Statistics” by Huff makes clear that sets of numbers can be somewhat distorted by, for instance, having a few very high numbers while mostly being numbers that are not high. That same book describes three common measures of “central tendency”: mean, median and mode. I taught calculation of the “mean”, often called the average, to 5th graders who took the step of adding a set of numbers together to get their sum but often failed to divide the sum by how many figures were in the set. Doing that gives an average or “mean” for 5, 6 and 7 of 18. The students didn’t have an adult feeling for “average” or typical.
Many people placed in hospice care live for a short time while a few live much longer.