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2007-04-28 17:47:08 · 10 answers · asked by RICHU 1 in Science & Mathematics Mathematics

10 answers

In mathematics, root mean square (abbreviated RMS or rms), also known as the quadratic mean, is a statistical measure of the magnitude of a varying quantity. It is especially useful when variates are positive and negative, e.g. waves.

It can be calculated for a series of discrete values or for a continuously varying function. The name comes from the fact that it is the square root of the mean of the squares of the values. It is a power mean with the power p = 2.

thus Mathematically

RMS = sqrt( ( sum of (squares of value) )/ count of value)

thus for three values a,b and c
RMS = sqrt( ( a^2+b^2+c^2 ) / 3 )

2007-04-30 02:26:13 · answer #1 · answered by Manik K 2 · 1 0

In lame terms the mean of these numbers 1, 2, 3, 4, 5 would be 1+2+3+4+5 / 5 which is 15 / 5 = 3.
The root mean square answer is 1squared + 2squared + 3squared + 4squared + 5squared divided by 5 and then all square rooted. In this case it equals 3.32
I've seen it used in physics to find a more accurate real value. You'll find the rms number will always be more than the mean number. e.g. 3.32 is greater than 3.

2007-04-29 12:00:36 · answer #2 · answered by Anonymous · 0 0

In mathematics, root mean square (abbreviated RMS or rms), also known as the quadratic mean, is a statistical measure of the magnitude of a varying quantity. It is especially useful when variates are positive and negative, e.g. waves.

It can be calculated for a series of discrete values or for a continuously varying function. The name comes from the fact that it is the square root of the mean of the squares of the values. It is a power mean with the power p = 2.

2007-04-28 19:21:27 · answer #3 · answered by Anonymous · 0 0

Root Mean Square
RMS

"A kind of average sometimes used in statistics and engineering, often abbreviated as RMS. To find the root mean square of a set of numbers, square all the numbers in the set and then find the arithmetic mean of the squares. Take the square root of the result. This is the root mean square."

2007-04-28 17:59:10 · answer #4 · answered by Anonymous · 0 0

From Wikipedia, the free encyclopedia

In mathematics, root mean square (abbreviated RMS or rms), also known as the quadratic mean, is a statistical measure of the magnitude of a varying quantity. It is especially useful when variates are positive and negative, e.g. waves.

http://en.wikipedia.org/wiki/Root_mean_square

2007-04-28 17:58:59 · answer #5 · answered by Phoenix S 2 · 0 0

Root mean square ils also known as the quadratic mean, is a statistical measure of the magnitude of a varying quantity.
The square root of the arithmetic mean of the squares of a set of numbers is called their root-mean-square.

2007-05-02 07:01:39 · answer #6 · answered by V.T.Venkataram 7 · 0 0

In mathematics,ther are types of means:

1)Arithmatic mean
i.e.(a+b+c+d+........
........+n)/n

2)Geometric mean
i.e. If a,b,c are in GP(geometrical progression), then their GM is b^2=ac or (b/a)=(c/b)

3)Root mean square
i.e. the root of mean of squares of all the observations.
I mean First square the observations, then take their mean and then square root them.

RMS(in general)=[(a^2+b^2+
c^2.........+n^2)/n]^1/2

2007-05-02 05:30:19 · answer #7 · answered by Anonymous · 0 0

suppose you have to find sqrt(10).to get a apt value quickly you could average of sqrt(9) =3 then tally with 3.2 ,3.1 ,and so on.
this was not your question but still this information will be helpful to you.

2007-04-28 21:06:06 · answer #8 · answered by sourav m 1 · 0 0

it means to be uncool but i think that went out as in insult in the 50s, unless of course it's made it's way back like everything else

2016-05-21 04:11:16 · answer #9 · answered by ? 3 · 0 0

Its a way of finding the geometric average of the product of of numbers. So if you have a and b
RMS= sqrt(a * b)

2007-04-28 17:54:23 · answer #10 · answered by cattbarf 7 · 0 1

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