Statistical Tables · free & public domain

Random Number Table

Reproducible uniform random digits for drawing simple random samples.

How to use this table

Enter the table at an arbitrary spot and read in one consistent direction — across rows or down columns, but decide before you look. Example: to draw 30 units from a population of 500, number them 001–500, read three-digit groups, and keep the first 30 that fall in range, discarding out-of-range numbers and repeats.

The table

Random Number Table
3507072022511843992639687999106842422064913438490853767408035004742865
8007081993136156500110305710294813976530276974733129994744537104763977
2091847786888760255475274938493139186198769521968584900698892382909823
1784418208132361066870643197650695582987459543087921772904885348870221
9415494999220074062707699585316233319954435009233253370800686678784218
1475934891633622065310282114527033041220777776248919022831156889647193
1879981663544817339573804068272269648322388270412074631412206317437717
9057992876002385168714447745119503569584586769114170369328036554640532
3499687030779643986672537066498256814326505277830195345139652085436206
5752231810980786061897788353267539880880193520871143540900349109084170
6019307996503727780816475653449229072125785153515539318244440163251485
7303295325802110319026777871805413436507817600654953528126062207428078
5307262280660224721653742177838075598499069051409980664633283349544957
3205928924378938289258557842256641771303777261217737742044484425946367
2133554017897929349348523919626067708072006340114475661446114176501927
5796340890729239583230314351409401895365589576357179478295767614072579
6929424173634691731960786421032584320143452864074757652195361475248062
0623880707844811713299896160461837602830553539968763231343725073698122
7877806226479695995734340688728725468115468574479321360696302521782196
4574589689197492677365402889818183905721877997330259654275317430433252
1358519704214692531020568246678279353000697895959330295485343879618371
9016813925410824725534110145287408350492768875946901947870741371317557
2459185330745267447506160678300971210761447160349091266666525198291604
9975980214740200343507024310453147386400451514404672897030982508584749
7013020138118741525294558264403494358908662233799734895684910813555020
6328305177619226420394409296002474540046299576020232375754012699222910
2387379794246434982385980223734130230801956879276981108228452279316280
1192798926622170593508809696782939530025404269356857760877231773116330
0197758281611885480299533073707330912425922784013526065913743105146602
9327336470567192852167907129207817794019768297933906430962547458532268
3160195252216431628352385111710597393381853125855037433764084167027602
4707854288548062018679122079013970036636931668536632714609564230215411
9071383850739794016322076266688217935567135554477048217574342143716378
4036774662101683433091629200581974835685124097193531164132103910009070
1420670141103328382465682285528173945780610397648974988966419873285921
1000295342013633996676895526506078347219230485092655156145218829154383
2324137481640133187316521370691534412984730666749355973966052263737921
8896424383420577864125682432254627233623496011671209208285858647044309
0718924492625706111171409518705592824711451051451973183249891649345943
1325526494704384183008552321322246841318221527749271697902631286725158
3515466457245151229508555848600318735000365838501750053852712401500202
3123179213349207929264888088704488425671773279932352423147112697736478
6279329759911956999763457284851056031626336543693127392576560421141933
9942205718259950409968312878965848030542071536578376542093166378458606
6993965254456885009866186579189131967058521477146191818661671135311007
9263440497248747416777012746197850650772210375686316487678165109261695
1304977534686053083584686421234117574323835698816259922982249615323691
8021297977186623073660045353442272787648980515508025855090641954595678
9970206165240916201250704666754265159911204652672361731502150966793427
2459318007698473375864597160277860824194830738624515123925838936121752

Generated with the NumPy PCG64 generator, seed 20260725.

How these values were produced

Generated with the NumPy PCG64 pseudo-random generator, seed 20260725.

Every one of these 700 values was computed from the underlying distribution — none was transcribed from a printed table. Values of this kind are mathematical facts: they come out the same for anyone who computes them correctly.

Need the test run rather than the critical value looked up? The Proof Workbench computes t, r, χ² and ANOVA in your browser with assumption checks and a re-verifiable receipt.

Use it freely

This table is dedicated to the public domain under CC0 1.0. No attribution required, no signup, no limits — copy it into a lecture, a textbook, or your own site. A link back is welcome but not asked for.

The other tables

Z-Score Table (Standard Normal Distribution)Cumulative area under the standard normal curve to the left of z, from −3.99 to 3.99.t-Distribution Table (Critical Values)Critical values of Student’s t by degrees of freedom, for one- and two-tailed tests.Chi-Square Distribution TableCritical values of χ² by degrees of freedom, right-tail areas from 0.999 to 0.001.F-Distribution Table (Critical Values)Critical values of F for five α levels, by numerator and denominator degrees of freedom.Binomial Distribution TableExact binomial probabilities P(X = x) for n = 2 to 25 on a regular grid of p.Poisson Distribution TableExact Poisson probabilities P(X = x) for means λ from 0.1 to 30.Pearson Correlation Critical Values (PPMC)Critical values of Pearson’s r by sample size, for testing H₀: ρ = 0.Tukey Studentized Range (q) TableCritical values of the studentized range q for Tukey’s HSD post-hoc comparisons.Sign Test Critical ValuesCritical values for the sign test, built on the conservative rule so the true error rate never exceeds α.Wilcoxon Signed-Rank Critical ValuesCritical values for the Wilcoxon signed-rank test, conservative construction, n to 60.Spearman Rank Correlation Critical ValuesCritical values of Spearman’s rₛ, exact permutation enumeration to n = 14.Runs Test Critical ValuesLower and upper critical run counts at α = 0.05 for testing a sequence for randomness.