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moving my response to the end of the thread
:On the other hand... a Prius has a dashboard display that displays the average miles per gallon as a bar chart, over five-minute intervals. On a 25-minute trip, the display registers 30 mpg for the first five minutes, 35 mpg for the next five, 40 mpg for the next five, 45 mpg for the next five, 50 mpg for last five. Assuming the car is driven at a constant speed, what's the average mileage for the trip? Answer: the harmonic mean of 30, 35, 40, 45, and 50 = 38.72 mpg. I wouldn't call that practical, but it's one of the very few real-world examples I've ever come across where the right answer is the harmonic mean. (Another is the average speed of a consisting of equal ''distances'' driven at varying speeds... e.g. if I commute to work at an average speed of 70 mph and commute home at an average speed of 30 mph, what's my average speed for the day? Answer: the harmonic mean of 70 and 30. [[User:Dpbsmith|Dpbsmith]] 21:08, 14 May 2007 (EDT)
:On the other hand... a Prius has a dashboard display that displays the average miles per gallon as a bar chart, over five-minute intervals. On a 25-minute trip, the display registers 30 mpg for the first five minutes, 35 mpg for the next five, 40 mpg for the next five, 45 mpg for the next five, 50 mpg for last five. Assuming the car is driven at a constant speed, what's the average mileage for the trip? Answer: the harmonic mean of 30, 35, 40, 45, and 50 = 38.72 mpg. I wouldn't call that practical, but it's one of the very few real-world examples I've ever come across where the right answer is the harmonic mean. (Another is the average speed of a consisting of equal ''distances'' driven at varying speeds... e.g. if I commute to work at an average speed of 70 mph and commute home at an average speed of 30 mph, what's my average speed for the day? Answer: the harmonic mean of 70 and 30. [[User:Dpbsmith|Dpbsmith]] 21:08, 14 May 2007 (EDT)
::Not sure what you meant, Sean, and anyway your decision to skip a spell check doesn't raise my confidence in you. Nor does your attempt to use my editorial decision as a launching ground for an attack on the project. What did you even come here for?
::If you're still around, read what I posted at [[talk:Median]] and what I added to [[Mean]]. I think I know more math than you: I have taught SAT prep (my math SAT, if you are familiar with US college placement tests, was 760 - that's in the 99th [[percentile]], okay?).
==some random math stuff in case anyone wants to use it==
==some random math stuff in case anyone wants to use it==
--[[User:SeanTheSheep|SeanTheSheep]] 03:48, 15 May 2007 (EDT)
--[[User:SeanTheSheep|SeanTheSheep]] 03:48, 15 May 2007 (EDT)
See for example the following from http://www.yourdictionary.com/ahd/a/a0545300.html
definition
n.
Mathematics
* A number that typifies a set of numbers of which it is a function.
* See arithmetic mean.
* An intermediate level or degree: near the average in size.
* The usual or ordinary kind or quality: Although the wines vary, the average is quite good.
* Sports The ratio of a team's or player's successful performances such as wins, hits, or goals, divided by total opportunities for successful performance, such as games, times at bat, or shots: finished the season with a .500 average; a batting average of .274.
* Law: The loss of a ship or cargo, caused by damage at sea; The incurrence of damage or loss of a ship or cargo at sea; The equitable distribution of such a loss among concerned parties; . A charge incurred through such a loss.
* Nautical Small expenses or charges that are usually paid by the master of a ship.
adj.
* Mathematics Of, relating to, or constituting an average.
* Being intermediate between extremes, as on a scale: a player of average ability.
* Usual or ordinary in kind or character: a poll of average people; average eyesight.
* Assessed in accordance with the law of averages.
* Synonyms: average, medium, mediocre, fair1, middling, indifferent, tolerable; These adjectives indicate a middle position on a scale of evaluation. Average and medium apply to what is midway between extremes and imply both sufficiency and lack of distinction: a novel of average merit; an orange of medium size.
* Mediocre stresses the undistinguished aspect of what is average: "The caliber of the students . . . has gone from mediocre to above average" (Judy Pasternak).
* What is fair is passable but substantially below excellent: in fair health; Middling refers to a ranking between average and mediocre: gave a middling performance.
* Indifferent suggests neutrality: "His home, alas, was but an indifferent attic" (Edward Everett Hale).
* Something tolerable is merely acceptable: prepared a tolerable meal
--[[User:SeanTheSheep|SeanTheSheep]] 03:55, 15 May 2007 (EDT)