Difference between revisions of "Root-mean-square"
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| − | The '''root-mean square''' or ''quadratic mean'' of a collection of [[real number]]s <math>x_1,\dots , x_n</math> is defined to be <math>\sqrt{\frac{x^2_1+x^2_2+\dots+x^2_n}{n}}</math>. This is the second [[power mean]] of the <math>x_i</math>. | + | The '''root-mean-square''' or ''quadratic mean'' of a collection of [[real number]]s <math>x_1,\dots , x_n</math> is defined to be <math>\sqrt{\frac{x^2_1+x^2_2+\dots+x^2_n}{n}}</math>. This is the second [[power mean]] of the <math>x_i</math>. |
| + | It is so-named because it is the square root of the mean of the squares of the <math>x_i</math>. | ||
== See Also == | == See Also == | ||
Revision as of 20:06, 16 July 2007
The root-mean-square or quadratic mean of a collection of real numbers 
is defined to be 
. This is the second power mean of the 
.
It is so-named because it is the square root of the mean of the squares of the .
See Also
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