PRODUCTS
Products Overview
Mathematica
Mathematica for Students
Mathematica Home Edition
Wolfram
CDF Player
(free download)
Computable Document Format (CDF)
web
Mathematica
grid
Mathematica
Wolfram
Workbench
Mathematica
Add-Ons
Wolfram|Alpha Products
SOLUTIONS
Solutions Overview
Engineering
Aerospace Engineering & Defense
Chemical Engineering
Control Systems
Electrical Engineering
Image Processing
Industrial Engineering
Materials Science
Mechanical Engineering
Operations Research
Optics
Petroleum Engineering
Biotechnology & Medicine
Bioinformatics
Medical Imaging
Finance, Statistics & Business Analysis
Actuarial Sciences
Data Analysis & Mining
Econometrics
Economics
Financial Engineering & Mathematics
Financial Risk Management
Statistics
Software Engineering & Content Delivery
Authoring & Publishing
Interface Development
Software Engineering
Web Development
Science
Astronomy
Biological Sciences
Chemistry
Environmental Sciences
Geosciences
Social & Behavioral Sciences
Design, Arts & Entertainment
Game Design, Special Effects & Generative Art
Education
STEM Education Initiative
Higher Education
Community & Technical College Education
Primary & Secondary Education
Students
Technology
Computable Document Format (CDF)
High-Performance & Parallel Computing (HPC)
See Also: Technology Guide
PURCHASE
Online Store
Other Ways to Buy
Volume & Site Licensing
Contact Sales
Software
Service
Upgrades
Training
Books
SUPPORT
Support Overview
Knowledge Base
Learning Center
Community & Forums
Training & Free Seminars
Does My Site Have a License?
Wolfram User Portal
COMPANY
About Wolfram Research
News & Events
Wolfram Blog
Partnerships
Employment Opportunities
History of
Mathematica
Stephen Wolfram's Home Page
Contact Us
OUR SITES
All Sites
Wolfram|Alpha
Demonstrations Project
MathWorld
Integrator
Wolfram Functions Site
Mathematica Journal
Wolfram Media
Wolfram
Tones
Wolfram Science
Stephen Wolfram
DOCUMENTATION CENTER SEARCH
New to
Mathematica
?
Find your learning path
»
Mathematica
>
Data Manipulation
>
Statistical Data Analysis
>
Descriptive Statistics
>
RootMeanSquare
>
Mathematica
>
Mathematics and Algorithms
>
Statistical Data Analysis
>
Descriptive Statistics
>
RootMeanSquare
>
BUILT-IN MATHEMATICA SYMBOL
Descriptive Statistics
Tutorials »
|
Mean
Norm
Variance
StandardDeviation
See Also »
|
Descriptive Statistics
New in 6.0: Statistics
More About »
RootMeanSquare
RootMeanSquare
[
list
]
gives the root mean square of values in
list
.
MORE INFORMATION
For the list
, the root mean square is given by
.
RootMeanSquare
handles both numerical and symbolic data.
RootMeanSquare
gives
.
RootMeanSquare
works with
SparseArray
objects.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
RootMeanSquare
of a list:
RootMeanSquare
of columns of a matrix:
RootMeanSquare
of a list:
In[1]:=
Out[1]=
RootMeanSquare
of columns of a matrix:
In[1]:=
Out[1]=
Scope
(3)
Compute results at machine precision:
Obtain results at any precision:
Compute results for a large vector or matrix:
Generalizations & Extensions
(1)
Compute results for a
SparseArray
:
Applications
(1)
Root mean square error for a linear fit:
Properties & Relations
(5)
RootMeanSquare
is the square root of the
Mean
of the data squared:
RootMeanSquare
is equivalent to a scaled
Norm
:
RootMeanSquare
of deviations is equivalent to a scaled
StandardDeviation
:
RootMeanSquare
of deviations is the square root of a
CentralMoment
:
RootMeanSquare
as a scaled
EuclideanDistance
from the
Mean
:
SEE ALSO
Mean
Norm
Variance
StandardDeviation
TUTORIALS
Descriptive Statistics
MORE ABOUT
Descriptive Statistics
New in 6.0: Statistics
New in 6