16.14: Random Number Table
- Page ID
- 135881
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)The following table provides a list of random numbers in which the digits 0 through 9 appear with approximately equal frequency. Numbers are arranged in groups of five to make the table easier to view. This arrangement is arbitrary, and you can treat the table as a sequence of random individual digits (1, 2, 1, 3, 7, 4...going down the first column of digits on the left side of the table), as a sequence of three digit numbers (111, 212, 104, 367, 739... using the first three columns of digits on the left side of the table), or in any other similar manner.
Let’s use the table to pick 10 random numbers between 1 and 50. To do so, we choose a random starting point, perhaps by dropping a pencil onto the table. For this exercise, we will assume that the starting point is the fifth row of the third column, or 12032 (highlighted in red below). Because the numbers must be between 1 and 50, we will use the last two digits, ignoring all two-digit numbers less than 01 or greater than 50. Proceeding down the third column, and moving to the top of the fourth column if necessary, gives the following 10 random numbers: 32, 01, 05, 16, 15, 38, 24, 10, 26, 14.
These random numbers (1000 total digits) are a small subset of values from the publication Million Random Digits (Rand Corporation, 2001) and used with permission. Information about the publication, and a link to a text file containing the million random digits is available at http://www.rand.org/pubs/monograph_reports/MR1418/.
| 11164 | 36318 | 75061 | 37674 | 26320 | 75100 | 10431 | 20418 | 19228 | 91792 |
| 21215 | 91791 | 76831 | 58678 | 87054 | 31687 | 93205 | 43685 | 19732 | 08468 |
| 10438 | 44482 | 66558 | 37649 | 08882 | 90870 | 12462 | 41810 | 01806 | 02977 |
| 36792 | 26236 | 33266 | 66583 | 60881 | 97395 | 20461 | 36742 | 02852 | 50564 |
| 73944 | 04773 | 12032 | 51414 | 82384 | 38370 | 00249 | 80709 | 72605 | 67497 |
| 49563 | 12872 | 14063 | 93104 | 78483 | 72717 | 68714 | 18048 | 25005 | 04151 |
| 64208 | 48237 | 41701 | 73117 | 33242 | 42314 | 83049 | 21933 | 92813 | 04763 |
| 51486 | 72875 | 38605 | 29341 | 80749 | 80151 | 33835 | 52602 | 79147 | 08868 |
| 99756 | 26360 | 64516 | 17971 | 48478 | 09610 | 04638 | 17141 | 09227 | 10606 |
| 71325 | 55217 | 13015 | 72907 | 00431 | 45117 | 33827 | 92873 | 02953 | 85474 |
| 65285 | 97198 | 12138 | 53010 | 95601 | 15838 | 16805 | 61004 | 43516 | 17020 |
| 17264 | 57327 | 38224 | 29301 | 31381 | 38109 | 34976 | 65692 | 98566 | 29550 |
| 95639 | 99754 | 31199 | 92558 | 68368 | 04985 | 51092 | 37780 | 40261 | 14479 |
| 61555 | 76404 | 86210 | 11808 | 12841 | 45147 | 97438 | 60022 | 12645 | 62000 |
| 78137 | 98768 | 04689 | 87130 | 79225 | 08153 | 84967 | 64539 | 79493 | 74917 |
| 62490 | 99215 | 84987 | 28759 | 19177 | 14733 | 24550 | 28067 | 68894 | 38490 |
| 24216 | 63444 | 21283 | 07044 | 92729 | 37284 | 13211 | 37485 | 10415 | 36457 |
| 16975 | 95428 | 33226 | 55903 | 31605 | 43817 | 22250 | 03918 | 46999 | 98501 |
| 59138 | 39542 | 71168 | 57609 | 91510 | 77904 | 74244 | 50940 | 31553 | 62562 |
| 29478 | 59652 | 50414 | 31966 | 87912 | 87514 | 12944 | 49862 | 96566 | 48825 |