# How can I set the discrete graphs of these values without computer programs?

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..

EXAMPLE

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

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

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

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

• 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? – Hagen von Eitzen Apr 28 '18 at 11:38
• 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. ;-) – Cedron Dawg Apr 28 '18 at 11:44
• 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? – Mark McClure Apr 28 '18 at 11:44
• @Hagen von Eitzen yes you are right.I gave incomplete information. These values ​​are the values ​​of the function, where, $x=1,2,3,4,5,.....$ – Elementary Apr 28 '18 at 11:45
• @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. – Elementary Apr 28 '18 at 11:48