How can I set the discrete graphs of these values without computer programs? (online)

I need to create a discrete graph of the following values.Without the computer, is it possible that I can do this?

I tried Wolfram Alpha, but it is impossible to do so because the number of values ​​is so long.

Thank you..


I would like to set up a graph similar to the graphs of the following distribution functions:

enter image description here

enter image description here

enter image description here

$$\text {Plot 1}\left\{ 9,27,67,118,220,348,486,771,825,1214,1373,1633,2257,1906,2554,2557,2737,3353,2728,3572,2798,3278,3935,3040,3969,2675,3469,3713,2907,3630,2491,3269,2647,2733,3408,2315,3043,1931,2584,2710,2155,2789,1904,2566,2473,2331,3061,2134,2871,1939,2595,3186,2249,3031,1967,2575,2440,2253,2909,1827,2398,1549,1992,2595,1593,2098,1248,1661,1819,1347,1741,991,1320,792,964,1310,710,939,507,694,826,473,651,341,468,264,328,494,253,357,179,263,348,180,273,130,193,133,157,209,100,138,63,91,130,58,79,40,67,58,53,77,40,53,24,32,48,22,35,20,25,28,14,17,11,15,5,8,17,7,8,2,2,4,4,8,2,2,0,1,3,1,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1\right\}$$

$$\text {Plot 2}\left\{ 10,34,90,176,350,577,871,1436,1657,2534,2966,3764,5358,4882,6698,6791,7702,9604,8231,10947,8918,10913,12958,10509,13828,9786,12794,13566,11358,14039,9970,13110,10714,11362,14112,9696,12748,8299,10977,11669,9297,11941,8009,10755,10446,9502,12403,8392,11276,7651,10182,12325,9126,12174,8067,10627,10042,9292,12137,7975,10516,6945,8760,11373,7282,9587,5943,7862,8529,6461,8474,5139,6852,4337,5341,6935,4055,5350,3019,4024,4776,3023,4058,2251,3039,1851,2247,3039,1720,2289,1249,1742,2273,1290,1830,987,1372,972,978,1372,767,1038,538,722,994,529,710,367,535,509,393,589,316,401,226,297,389,197,290,143,202,226,147,211,103,140,79,101,142,67,106,51,67,75,46,65,32,45,36,42,55,24,34,11,12,25,9,21,8,17,10,9,11,5,14,5,7,6,3,7,4,5,7,6,6,3,2,0,1,2,0,2,2,3,2,2,0,0,0,0,1,1,0,0,0,1,2,1,2,0,0,0,0,1,1,2 \right\}$$

$$\text {Plot 3}\left\{ 11,41,118,251,532,924,1500,2580,3164,5018,6108,8193,12030,11599,16410,16947,20329,25638,23361,31525,26494,33543,39633,33833,44866,33020,43543,45974,41030,50612,37388,49151,40472,44081,54221,38847,51156,33921,44680,48127,38710,48902,33436,44407,43373,39062,50116,34268,45652,30338,40610,47920,36278,48435,32356,42939,41366,37675,49334,33062,43626,29838,37507,48140,31771,42095,26739,35539,37571,29438,38388,24218,32092,21490,26087,33871,20799,27405,16238,21484,25225,16608,22120,12875,17174,10980,13179,17537,10097,13580,7732,10423,13393,7912,10700,6146,8242,6077,6224,8464,4728,6495,3578,4873,6457,3565,4909,2640,3644,3535,2742,3829,2090,2847,1587,2128,2914,1549,2116,1147,1600,1751,1134,1596,838,1190,645,836,1169,600,853,452,668,780,409,581,292,423,278,324,474,242,334,158,234,327,166,234,114,165,110,107,171,84,138,66,86,114,56,78,41,57,70,49,63,26,49,25,36,51,14,22,12,18,23,20,20,6,11,4,10,15,9,10,5,8,11,6,10,6,9,5,8,14,7,14,7,7,5,1,5,1,2,4,1,3,3,3,1,3,3,0,1,0,0,1,1,1,0,0,0,1\right\}$$

  • 1
    $\begingroup$ a) What does it mean to set a graph? b) What graph(s) are you referring to with these sets (actually lists?) or integers? If these are the vertices, what are the edges? $\endgroup$ Commented Apr 28, 2018 at 11:38
  • $\begingroup$ If you mean "without programming" by "without computer program", you could use spreadsheet software like MS Excel or LIbreOffice Calc. Otherwise, whip out a sheet of graph paper. ;-) $\endgroup$ Commented Apr 28, 2018 at 11:44
  • $\begingroup$ Would we be correct in thinking that shorter WolframAlpha input, like Plot 1{9,27,67,118,220,348,486,771} returns what you want? $\endgroup$ Commented Apr 28, 2018 at 11:44
  • $\begingroup$ @Hagen von Eitzen yes you are right.I gave incomplete information. These values ​​are the values ​​of the function, where, $x=1,2,3,4,5,.....$ $\endgroup$
    – user548054
    Commented Apr 28, 2018 at 11:45
  • $\begingroup$ @Mark McClure yes you are right. But here, $x=1,2,3...$ discrete values. Not a continous. For example, $x≠1.2$ Actually I need a histogram. $\endgroup$
    – user548054
    Commented Apr 28, 2018 at 11:48

1 Answer 1


A quick copy and paste your data to a text file. Save as .csv file. Import into LO Calc. Copy transpose. Insert/Object/Chart.


enter image description here

  • $\begingroup$ Thank you very much..which distribution function in Mathematics is more similar? $\endgroup$
    – user548054
    Commented Apr 28, 2018 at 12:07
  • $\begingroup$ @Beginner, is the "dip" around 40 significant? $\endgroup$ Commented Apr 28, 2018 at 12:28
  • $\begingroup$ Sorry, I can not understand your question..( english is my second language) $\endgroup$
    – user548054
    Commented Apr 28, 2018 at 12:33
  • $\begingroup$ Can you plotting in diagram? ( For in example, which I gave in question..) Thank you! $\endgroup$
    – user548054
    Commented Apr 28, 2018 at 12:35
  • $\begingroup$ @Beginner,Your data does not produce smooth curves. A probability distribution is going to be a smooth curve to which you find the parameters that make a best fit to your data. You can now describe your data using those parameters. The variation of your data from the best fit is what is of interest. Is it due to noise? Is it due to an incorrect probability model? Is it an attribute of the system you are studying? Your data looks like a Poisson distribution would be a good fit, but right around x=43 you are getting a variation in all three of your sets. $\endgroup$ Commented Apr 28, 2018 at 12:59

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