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  • Members: 191
  • Category: Mathematics
  • Founded: May 21, 2001
  • Language: English
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big "mean" math question   Message List  
Reply Message #180 of 20696 |
Re: big "mean" math question

[Joseph Pehrson wrote:]
>Well, my big "mean" math question has to do with the idea of
>the "root mean square" (RMS) method of finding averages that Graham
>Breed was talking about on the "fat" list...

>I'm actually intrigued by this, since I'm not understanding why
>squaring everything, adding it all together and then taking the
>SQUARE ROOT of the sum is going to lead to an accurate average...

>Why is this done this way again?? This is pretty interesting,
>actually...

Is it my imagination, or has nobody already caught the error in this?
Paul E, even you???

Before you take the square root, you divide by the number of values
whose square has been summed. Thus, the RMS of 3 and 4 is:

RMS = sqrt((3^2 + 4^2) / 2)
= sqrt((9 + 16) / 2)
= sqrt(12.5)
=~ 3.54

NOT sqrt(25) = 5!!

JdL




Sat Jun 9, 2001 12:40 am

jdl@...
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Message #180 of 20696 |
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Well, my big "mean" math question has to do with the idea of the "root mean square" (RMS) method of finding averages that Graham Breed was talking about on the...
jpehrson@... Send Email Jun 8, 2001
5:42 pm

... Joseph - I think there's an easier explanation than using vectors. It's basically using the Pythagorean triangle; 2 2 2 a + b = c Try...
Orphon Soul, Inc.
tuning@... Send Email
Jun 8, 2001
7:27 pm

... You don't want to take the _straight_ average because it might be zero just from positives and negative signs canceling out. The two simplest alternatives...
Paul Erlich
paul@... Send Email
Jun 8, 2001
9:01 pm

... THAT'S what standard deviation IS? Ahh.. Thank you Paul. I don't think I ever knew that. Or if I did, I managed to not retain it......
Orphon Soul, Inc.
tuning@... Send Email
Jun 8, 2001
9:17 pm

... Sorry, I was wrong about that. The Standard Deviation is something different. It's actually the RMS deviation of a set of measurements from their...
Paul Erlich
paul@... Send Email
Jun 8, 2001
9:40 pm

... Right, I remember it had to do with the mean, just didn't know how it was calculated. Thanks for clearing that up. ... Actually I've worked with that...
Orphon Soul, Inc.
tuning@... Send Email
Jun 8, 2001
9:49 pm

... http://groups.yahoo.com/group/tuning-math/message/169 Thanks, Paul... this gives me a good overview on this one! It's pretty interesting... ________...
jpehrson@... Send Email Jun 8, 2001
9:38 pm

[Joseph Pehrson wrote:] ... Is it my imagination, or has nobody already caught the error in this? Paul E, even you??? Before you take the square root, you...
John A. deLaubenfels
jdl@... Send Email
Jun 9, 2001
12:40 am

... http://groups.yahoo.com/group/tuning-math/message/180 ... this? ... Actually, John... this is interesting because, if I'd known this, I probably wouldn't...
jpehrson@... Send Email Jun 9, 2001
4:08 am

[Joseph Pehrson wrote:] ... Right. That'd be the "Root Sum Square", which, as you've surmised, wouldn't be very "averagy". In fact, I'm not sure what it...
John A. deLaubenfels
jdl@... Send Email
Jun 9, 2001
10:57 am

... http://groups.yahoo.com/group/tuning-math/message/186 ... I ... then. ... but all had a "brain fart" (which I know a lot about, 'cause I get them all the...
jpehrson@... Send Email Jun 9, 2001
12:54 pm

[I wrote:] ... Oops! Well, maybe it'd be slightly useful for such abstractions as the length of a hypotenuse of a right triangle. ;-> JdL...
John A. deLaubenfels
jdl@... Send Email
Jun 9, 2001
11:37 am
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