----- Original Message ----- From: "John Pearson" To: Sent: Friday, September 12, 2003 1:22 PM Subject: Re: [PIC:] Mean averaging routine? > ----- Original Message ----- > From: "Andrew Warren" > To: > Sent: Thursday, September 11, 2003 6:03 PM > Subject: Re: [PIC:] Mean averaging routine? > > > > Jim Tellier wrote: > > > > > > The arithmetic mean is the sum of a list of numbers, divided by > > > > the total number of numbers in the list. The equation you give > > > > is valid for lists containing one or two numbers, but invalid > > > > for all others. > > > > > > No. What you describe is the Simple Average of the values. > > > > Jim: > > > > What you call "the simple average" is also known, to people who > > studied Mathematics instead of Art, as "the arithmetic mean". > > > > Perhaps if you looked for the term in a dictionary, instead of > > on some Scottish travel agent's website, you'd get a better > > definition. > > > > > See http://www.aboutscotland.com/harmony/prop4.html for a simple > > > explanation of Arithmetic Mean. > > > > That page uses "the arithmetic mean" as a term -- like "the > > Golden Mean" -- that describes artistic proportions. Elsewhere > > on that site, the "harmonic mean" and "geometric mean" are also > > discussed. > > > > That's not what we're talking about here. > > > > > The eqn above *does* use 2 values: a MIN and a MAX, which are both > > > functions of the entire n-ary dataset. > > > > I can give you examples of datasets about which the "simple > > average", the median, and/or the mode express something useful. > > > > For instance: > > > > Simple average: Overall grade in school, given a list of > > individual test grades. > > > > Median: Average salary, or average house price (half are > > above, half are below). > > > > Mode: "Winner" of a vote or survey. > > > > I can't think of a dataset for which your (min+max)/2 value: > > > > a) is significantly different from the "simple average", > > mode, or median, and > > > > b) expresses anything useful about the dataset. > > > > Can you? > > > > -Andy > > > All I know about averages is that: if my hair is on fire and I am standing > in a bucket of water, I should be okay. > Sorry but there is an error in you method. You are supposed to invert the bucket on your head after your hair catches fire thenyou should be ok. :-}} > > > > > === Andrew Warren -- aiw@cypress.com > > === Principal Design Engineer > > === Cypress Semiconductor Corporation > > === > > === Opinions expressed above do not > > === necessarily represent those of > > === Cypress Semiconductor Corporation > > > > -- > > http://www.piclist.com hint: The PICList is archived three different > > ways. See http://www.piclist.com/#archives for details. > > -- > http://www.piclist.com hint: The PICList is archived three different > ways. See http://www.piclist.com/#archives for details. > -- http://www.piclist.com#nomail Going offline? Don't AutoReply us! email listserv@mitvma.mit.edu with SET PICList DIGEST in the body