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| Keywords: Standard deviation.svg Illustration of en Standard deviation self-made with MATLAB Tweaked in Inkscape 04 55 4 August 2007 UTC Oleg Alexandrov 04 55 4 August 2007 UTC PD-self Source code MATLAB <source lang Matlab > Illustartion of standard deviation function main a -1 2; b 1 3; c -0 5; d 2 5; N 100; X linspace a b N ; Y X 3-0 2 X 2-X+2; Y X 2; scale Y to fit in the plotting window Y Y-min Y / max Y -min Y ; Y Y d-c +c; mean sum Y /length Y ; stdev sqrt sum Y-mean Y-mean /length Y ; figure 1 ; clf; hold on; axis off; axis equal; lw 3; linewidth lw2 lw/2; lw3 lw/1 5; fs 30; font size red 0 867 0 06 0 14; blue 0 129 205/256; green 0 200 70/256; black 0 0 0; plot the curves shiftl a-0 1; small 0 2; plot X Y 'linewidth' lw 'color' blue ; plot shiftl max X +small mean mean 'linewidth' lw2 'color' red ; plot shiftl max X +small mean mean+stdev 'linewidth' lw3 'color' red 'linestyle' '--' ; plot shiftl max X +small mean mean-stdev 'linewidth' lw3 'color' red 'linestyle' '--' ; plot some balls for beauty n length X ; ball_rad 0 03; ball X 1 Y 1 ball_rad blue ball X n Y n ball_rad blue axes small 0 2; arrowsize 0 2; arrow_type 0; angle 20; in degrees arrow shiftl-0 2 0 b+0 2 0 lw2 arrowsize angle arrow_type black arrow shiftl min Y-0 1 shiftl max Y lw2 arrowsize angle arrow_type black text small1 0 3; small2 0 3; text shiftl-small1 mean '\mu' 'fontsize' fs text shiftl-small1-small2 mean+stdev '\mu+\sigma' 'fontsize' fs text shiftl-small1-small2 mean-stdev '\mu-\sigma' 'fontsize' fs H text 0 1 -0 1 'x_ n+1 ' ; set H 'fontsize' fs H text 0 7 -0 1 'x_ n ' ; set H 'fontsize' fs save to disk saveas gcf 'Standard_deviation eps' 'psc2' plot2svg 'Standard_deviation svg' ; function arrow start stop thickness arrow_size sharpness arrow_type color Function arguments start stop start and end coordinates of arrow vectors of size 2 thickness thickness of arrow stick arrow_size the size of the two sides of the angle in this picture -> sharpness angle between the arrow stick and arrow side in degrees arrow_type 1 for filled arrow otherwise the arrow will be just two segments color arrow color a vector of length three with values in 0 1 convert to complex numbers i sqrt -1 ; start start 1 +i start 2 ; stop stop 1 +i stop 2 ; rotate_angle exp i pi sharpness/180 ; points making up the arrow tip besides the stop point point1 stop - arrow_size rotate_angle stop-start /abs stop-start ; point2 stop - arrow_size/rotate_angle stop-start /abs stop-start ; if arrow_type 1 filled arrow plot the stick but not till the end looks bad t 0 5 arrow_size cos pi sharpness/180 /abs stop-start ; stop1 t start+ 1-t stop; plot real start stop1 imag start stop1 'LineWidth' thickness 'Color' color ; fill the arrow H fill real stop point1 point2 imag stop point1 point2 color ; set H 'EdgeColor' 'none' else two-segment arrow plot real start stop imag start stop 'LineWidth' thickness 'Color' color ; plot real stop point1 imag stop point1 'LineWidth' thickness 'Color' color ; plot real stop point2 imag stop point2 'LineWidth' thickness 'Color' color ; end function ball x y r color Theta 0 0 1 2 pi; X r cos Theta +x; Y r sin Theta +y; H fill X Y color ; set H 'EdgeColor' 'none' ; </source> Standard deviation Images with Matlab source code Files by User Oleg Alexandrov from en wikipedia | ||||
