Averages/Root mean square: Difference between revisions

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{{task}}
{{task}}
Compute the [[wp:Root mean square|Root mean square]] of the numbers 1..10.
Compute the   [[wp:Root mean square|Root mean square]]   of the numbers 1..10.


The root mean square is also known by its initial RMS (or rms), and as the '''quadratic mean'''.
The root mean square is also known by its initials RMS (or rms), and as the '''quadratic mean'''.


The RMS is calculated as the mean of the squares of the numbers, square-rooted:
The RMS is calculated as the mean of the squares of the numbers, square-rooted:

⚫
: <math>x_{\mathrm{rms}} = \sqrt {{{x_1}^2 + {x_2}^2 + \cdots + {x_n}^2} \over n}. </math>
<big><big>
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::: <math> x_{\mathrm{rms}} = \sqrt {{{x_1}^2 + {x_2}^2 + \cdots + {x_n}^2} \over n}. </math>
</big></big>



Cf. [[Averages/Pythagorean means]]
Cf. [[Averages/Pythagorean means]]
<br><br>

=={{header|Ada}}==
=={{header|Ada}}==
<lang Ada>with Ada.Float_Text_IO; use Ada.Float_Text_IO;
<lang Ada>with Ada.Float_Text_IO; use Ada.Float_Text_IO;
Retrieved from "https://rosettacode.org/wiki/Averages/Root_mean_square"