File:Plot-uncertainty-num-of-measurements-200.svg

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Original file ‎(SVG file, nominally 462 × 295 pixels, file size: 118 KB)

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Description
English: Plot of uncertainty vs. number of measurements of normal distributed measurement values. Measurement uncertainty calculated with , with the number of measurements and the corrected sample standard deviation
Date
Source Own work
Author MikeRun
SVG development
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created on a Raspberry Pi 18px.
 
The SVG code is valid.
 
This diagram was created with Mathematica.
Source code
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Mathematica code

mean = 1.65;
stdDev = 0.1;
maxSampleSize = 200;

data = RandomVariate[NormalDistribution[mean, stdDev], maxSampleSize];

stdDevList = 
  Table[StandardDeviation[data[[1 ;; i]]], {i, 2, maxSampleSize}];

uncertaintyList = 
  Table[1/Sqrt[i]*StandardDeviation[data[[1 ;; i]]], {i, 2, 
    maxSampleSize}];

uncertaintyListPlot = 
 ListPlot[uncertaintyList, 
  PlotRange -> {{0, maxSampleSize}, {0, Max[uncertaintyList]}}, 
  AxesLabel -> {N, Subscript[u, x]}]

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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Date/TimeThumbnailDimensionsUserComment
current09:18, 6 March 2022Thumbnail for version as of 09:18, 6 March 2022462 × 295 (118 KB)MikeRun (talk | contribs)Uploaded own work with UploadWizard

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