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I have a list of experimental points. Each point was measured one or several times:

{{0, 2}, {0, 10}, {10, 90}, {20, 150}, {20, 144}, {20, 152}, {20, 161}, 
 {30, 198}, {30, 192}, {40, 210}, {50, 230}, {50, 228}, {50, 221}, 
 {60, 235}, {60, 230}} // ListPlot

Is it possible to use this list to plot ErrorListPlot? In other words how I can calculate new list {{x,mean_y_at_x, ErrorBar[sd]}, ...} from initial one? Sorry for possible duplicate, but I could not find answer.

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1 Answer 1

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data = {{0, 2}, {0, 10}, {10, 90}, {20, 150}, {20, 144}, {20, 152}, 
  {20, 161}, {30, 198}, {30, 192}, {40, 210}, {50, 230}, {50, 228}, 
  {50, 221}, {60, 235}, {60, 230}}; 

gathered = GatherBy[data, First];

elpdata =Through[{Mean, ErrorBar@If[Length@#==1, 0, StandardDeviation@#]&}@#]& /@ gathered

Needs["ErrorBarPlots`"]
ErrorListPlot[elpdata]

Mathematica graphics

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