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## #1 2006-02-06 08:28:27

John E. Franklin
Star Member

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### Rounding numbers in recent additions

The only word I would change is the one that says,
the digit 5 is rounded up.  I think it would be more
fair to say it is typically agreed upon that 5 should
round up.  There are some times when 5 may round
down, but this is not the normal way to do it.

Finally, 5 is exactly halfway, so there is no fairness.
Teams with an unfair zero on a team is not fair.

Imagine for a moment that even an earthworm may possess a love of self and a love of others.

## #2 2006-02-06 09:11:06

MathsIsFun

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### Re: Rounding numbers in recent additions

Yes, I need to write a much lengthier article about methods of rounding. Floor, ceiling, rounding 5 up on even or odd, etc.

It really is about "horses for courses", but the "5 up" method is simply the most common and agreed-upon method.

I guess you really need to think about your data before you decide what method to use.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

## #3 2006-04-01 14:33:34

George,Y
Super Member

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### Re: Rounding numbers in recent additions

0.0 0.1 0.2 0.3 0.4  5 numbers
0.5 0.6 0.7 0.8 0.9  5 numbers
fair

0.00 0.01 ... 0.49 50 numbers
0.50 0.51 ... 0.99 50 numbers
fair

0.000 0.001 ... 0.499 500 numbers
0.500 0.501 ... 0.999 500 numbers
fair

so the rounding can be inferred (imagined) as fair.
when talking about infinity, you can only infer and define.

X'(y-Xβ)=0

## #4 2006-04-02 04:32:15

Ricky
Moderator

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### Re: Rounding numbers in recent additions

I guess you really need to think about your data before you decide what method to use.

That could be a very large pitfall though because people can choose their rounding method to make their data fit better.  Although in most cases it's not going to make a big difference.

George, I agree.  The one thing people say is that you aren't rounding .0, and thus, it doesn't count.  I can't understand why though.

"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."