Showing posts with label statpics blog. Show all posts
Showing posts with label statpics blog. Show all posts

Wednesday, 2 March 2011

Normally Distributed



Another nice statistical curiosity from the Statpics blog of Professor Robert Jernigan at American University.  The entire short post is copied below, and I would love to hear responses to the final question.  And it also looks like the wear on the left door is distinctly heavier than the right..do you agree? and if it is...why?  Do we go out with our left and in with our right, or ??? Anyway, here is the Professor's blog:
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An image of the wear on exit doors at a Barnes and Noble bookstore in Rockville, Maryland. Most wear is located a little below shoulder height as customers push on the door with outstretched arms as they exit. Or are they holding open the door with fingers as they enter? It turns out it's both. (Yes, I stood there and watched!). It's both uncomfortable and inefficient to open the door much higher or much lower. We're left with a greater frequency of use centrally located with less and less wear above and below: a unimodal frequency distribution of wear. Considering that human height is approximately normally distributed, the patterns here should reflect that normality. It's interesting to note that the left hand door seems to have a frequency distribution of wear that sits slightly above that for the right hand door.
Any ideas as to why?
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http://www.armstronglock.com/images/prod-0101383-zoom.jpgAddendum: MLB sent a comment with a couple of ideas that were too perfect to leave in the comments.  Another cool place where a similar unimodal distribution pattern shows up is on Jerusalem's Western Wall:

Finally, this phenomenon is the reason why these sort of locks are unsafe:  One time I was with a group of people locked out of a building. A member of our group had left something inside, and none of us had a key. There was a lock box, though, and some careful observation of the exterior of the box gave us some good guesses as to the combination. We got in without trouble.

Wednesday, 14 July 2010

Measure of Spread


My recent post on the standard deviation (a measure of spread) happened to coincide closely with a really nice post from Professor Robert W. Jernigan over at Statpics on how the average CEO's salary compared to the average salary in the US has changed between 1965 and 2005. The "graphs" on the two tables represent the average salary as a paper cup in each stack (the little brownish blob), and the average CEO salary is shown by a stack (pyramid?) of champagne glasses. The actual numbers he gives are from 25:1 in 1965 to 275:1 in 2005. The image is actually from an Art Exhibit in Detroit on "The American Dream".

Those who actually pay attention when I gripe know I hate the casual use of the word "average" without detail, but I assume this refers to the common "arithmetic average" salary in the US. If that is what is used, it means that the truth is actually more severe than the picture shows. Every time the CEO gets a big salary jump, they drag the average up a little more beyond what the "typical" or median income is.

Without much time this morning to search, I still found a quick indicator of wealth distribution in 2005 at this site.
Here is a breakdown of how household incomes fall percentages from top to bottom according to U.S Census Bureau statistics for 2005.

* Top 1%: Earns $350,000 or more
* Top 1.5%: Earns $250,000 or more
* Top 5%: Earns $167,000 or more
* Top 20%: Earns $92,000 or more
* Top 25%: Earns $77,500 or more
* Middle 20%: Earns $35,000 to $55,000
* Middle 33%: Earns $30,000 to $62,500
* Bottom 25%: Earns $0 to $22,500
* Bottom 20%: Earns $0 to $18,500
* Bottom 10%: Earns $0 to $10,500


And apparently it has gotten worse since. Just found this at a site called "Fair Econonmy" :


CEO-WORKER DIVIDE: CEOs in the United States, despite our current hard economic times, continue to pocket outlandishly large pay packages. S&P 500 CEOs last year averaged $10.5 million, 344 times the pay of typical American workers. Compensation levels for private investment fund managers soared even further out into the pay stratosphere. Last year, the top 50 hedge and private equity fund managers averaged $588 million each, more than 19,000 times as much as typical U.S. workers earned.
Hope you are getting your share.

Sunday, 1 February 2009

Superbowl Statistics




The picture above is the graph (in a sense) of a statistical distribution...actually of at least two.. I came across this on the Statpics blogsite, which is quickly becoming a favorite.
Some really clever uses of illustrations for statistical reasoning.. check it out.

And as long as I'm pimping other peoples blogs, and talking about the dreaded (I really hate the) super bowl, Check out Dave Marain's Math Notations blog where he is asking, "Was the First super bowl more or less than a billion seconds ago?" and making some other quick comparisons about a billion (American, not British)