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#31



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#32



Wiki's skinny on the "RoundtoEven" method:
Roundtoeven method This method, also known as unbiased rounding, convergent rounding, statistician's rounding, Dutch rounding, Gaussian rounding, elitist rounding, or bankers' rounding, exactly replicates the common method of rounding except when the digit(s) following the rounding digit starts with a five and has no nonzero digits after it. The new algorithm becomes:
Despite the custom of rounding the number 4.5 up to 5, in fact 4.5 is no nearer to 5 than it is to 4 (it is 0.5 away from both). When dealing with large sets of scientific or statistical data, where trends are important, traditional rounding on average biases the data upwards slightly. Over a large set of data, or when many subsequent rounding operations are performed as in digital signal processing, the roundtoeven rule tends to reduce the total rounding error, with (on average) an equal portion of numbers rounding up as rounding down. This generally reduces upwards skewing of the result. People use roundtoeven rather than roundtoodd as it reduces rounding to a final digit of 5, and so reduces the likelihood of error resulting from double rounding. Examples:
[edit] History The Roundtoeven method has served as the ASTM (E29) standard since 1940. The origin of the terms unbiased rounding and statistician's rounding are fairly selfexplanatory. In the 1906 4th edition of Probability and Theory of Errors [1] Robert Woodward called this "the computer's rule" indicating that it was then in common use by human computers who calculated mathematical tables. Churchill Eisenhart's 1947 paper "Effects of Rounding or Grouping Data" (in Selected Techniques of Statistical Analysis, McGrawHill, 1947, Eisenhart, Hastay, and Wallis, editors) indicated that the practice was already "well established" in data analysis. The term Dutch rounding originated during the Dutch Golden Age. This period of wealth was characterized by opulent feasts where many prominent Dutchmen grew round. The origin of the term bankers' rounding remains more obscure. If this rounding method was ever a standard in banking, the evidence has proved extremely difficult to find. To the contrary, section 2 of the European Commission report The Introduction of the Euro and the Rounding of Currency Amounts [2] suggests that there had previously been no standard approach to rounding in banking, and specifies that "halfway" amounts should be rounded up. 

#33



See, I knew I wasn't crazy. SoC's dissertation says the same thing. You can't always round up as that will throw a bias into it. You have to round up half the time and down the other half, thus you pick a method that will do this.


#34



Awesome!
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#35



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#36



rounding
I love how quick ignorant people are to answer and then say an educated answer is incorrect. In science and statistics a better formula for rounding is used as not to create a bias. If you are dealing with large amounts of data and rounding is needed, by rounding up when the significant figure is followed by a 5 a bias will be created and the results will not be accurate. 5 is in the middle. It is no closer to 10 than to 0 and choosing to only round up is a faulty method. For strictly mathematical purposes it really would not matter. Just like it is only in science mathematics that we consider 3, 3.0, 3.00, an 3.000 to be completely different numbers. The type of rounding than a number of people demonized is called unbiased rounding, convergent rounding, statistician's rounding, Dutch rounding, Gaussian rounding, or bankers' rounding. For an interesting perspective on this rounding system and how it pertains to our daily lives check out the video on the link. It is about all of the money the oil companies are able to cheat us out of by using the 3rd grade method of always rounding up if there is a five. The site will also go into some detail on the subject.
http://scienceblogs.com/goodmath/200...g_and_bias.php 

#37



Rounding is for weaklings.
Real men truncate. 

#38



Quote:
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#39



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Quote: Originally Posted by Dr. Girlfriend If Obama wins, I'll post nude photos of myself. 

#40



If I owe you then it rounds down.
If you owe me then it rounds up.
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It really does blow my mind that in the richest country on Earth if a man can't afford treatment that will save his life he just doesn't get it. Zuben displaying a shocking ignorance of US healthcare system. I just think that from you're posting it's clear that you are not uni grad material. And sure enough, you're not. Zuben I was just offered a truck load of funding to finish my PhD by a school that makes Guelph,... look like the third tier institution it is. Zuben 

#41



I hate math.
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join Rotten Onions 

#42



Up.
Zero means absolute zero imo.
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@2001mark 

#43



Quote:
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I hate you Walt Freakin' Whitman! Leaves of Grass my ***! 

#44



Depends on the context. Would you round a batting average of .5 to 1 or 0? Obviously neither. It's .500 biatch!
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Still in the crease. 

#45



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