x=10*rand(1,100) x = Columns 1 through 2 9.50129285147175 2.31138513574288 Columns 3 through 4 6.06842583541787 4.859824687093 Columns 5 through 6 8.91298966148902 7.62096833027395 Columns 7 through 8 4.56467665168341 0.185036432482244 Columns 9 through 10 8.21407164295253 4.44703364353194 Columns 11 through 12 6.15432348100095 7.91937037427035 Columns 13 through 14 9.21812970744802 7.38207245810665 Columns 15 through 16 1.76266144494618 4.05706213062096 Columns 17 through 18 9.35469699107605 9.16904439913408 Columns 19 through 20 4.10270206990945 8.93649530913534 Columns 21 through 22 0.578913047842686 3.52868132217 Columns 23 through 24 8.13166497303758 0.0986130066092356 Columns 25 through 26 1.3889088195695 2.02765218560273 Columns 27 through 28 1.9872174266149 6.03792479193819 Columns 29 through 30 2.7218792496996 1.98814267761062 Columns 31 through 32 0.152739270290363 7.46785676564429 Columns 33 through 34 4.45096432287947 9.31814578461665 Columns 35 through 36 4.65994341675424 4.18649467727506 Columns 37 through 38 8.46221417824325 5.25152496305172 Columns 39 through 40 2.02647357650387 6.72137468474288 Columns 41 through 42 8.38118445052387 0.196395138648175 Columns 43 through 44 6.81277161282135 3.79481018027998 Columns 45 through 46 8.31796017609607 5.02812883996251 Columns 47 through 48 7.09471392703387 4.28892365340997 Columns 49 through 50 3.04617366869394 1.89653747547175 Columns 51 through 52 1.93431156405215 6.82223223591384 Columns 53 through 54 3.02764400776609 5.41673853898088 Columns 55 through 56 1.50872976149765 6.97898481859863 Columns 57 through 58 3.78373000512671 8.6001160488682 Columns 59 through 60 8.53655130662768 5.93562912539682 Columns 61 through 62 4.96552449703103 8.9976917516961 Columns 63 through 64 8.21629160735343 6.44910384193844 Columns 65 through 66 8.17974340839245 6.60227556441602 Columns 67 through 68 3.41970618270216 2.89725895856238 Columns 69 through 70 3.41193569414884 5.340790176266 Columns 71 through 72 7.27113216929677 3.09290159790958 Columns 73 through 74 8.38496044938081 5.68072461007776 Columns 75 through 76 3.70413556632117 7.02739913240377 Columns 77 through 78 5.46571151829106 4.44880204672912 Columns 79 through 80 6.94567240425548 6.21310130795413 Columns 81 through 82 7.94821080200926 9.56843448444877 Columns 83 through 84 5.22590349080708 8.80142207411327 Columns 85 through 86 1.72956141275237 9.79746896788841 Columns 87 through 88 2.714472586418 2.5232934687399 Columns 89 through 90 8.75741899818074 7.37305988465256 Columns 91 through 92 1.3651874225971 0.11756687353118 Columns 93 through 94 8.93897966445253 1.99138067205738 Columns 95 through 96 2.98723012102214 6.61442576382325 Columns 97 through 98 2.84408589749945 4.69224285211001 Columns 99 through 100 0.647811229632725 9.88334938277631 hist(x) y=exp(x) y = Columns 1 through 2 13377.0101421265 10.0883887695566 Columns 3 through 4 432.000106779076 129.001584482072 Columns 5 through 6 7427.83464725443 2040.53708729805 Columns 7 through 8 96.0315373597959 1.20326227716069 Columns 9 through 10 3692.54663120423 85.3733203181227 Columns 11 through 12 470.748264566229 2750.03900520339 Columns 13 through 14 10078.1975126704 1606.91658660212 Columns 15 through 16 5.82792748039305 57.8042400711968 Columns 17 through 18 11552.9603570234 9595.45088628604 Columns 19 through 20 60.5035517490472 7604.49888079193 Columns 21 through 22 1.7840981471135 34.0789987514272 Columns 23 through 24 3400.45652291956 1.10363911586195 Columns 25 through 26 4.01047151650609 7.59623086609815 Columns 27 through 28 7.29520604755973 419.022572982748 Columns 29 through 30 15.2088766830287 7.30195906785687 Columns 31 through 32 1.16502118370529 1750.85017922055 Columns 33 through 34 85.7095558492461 11138.3098686721 Columns 35 through 36 105.630105093364 65.791764917868 Columns 37 through 38 4732.52505940995 190.857096671714 Columns 39 through 40 7.58728315324601 829.957657760436 Columns 41 through 42 4364.17501549279 1.21700769711461 Columns 43 through 44 909.387788140839 44.4697943604059 Columns 45 through 46 4096.79473949802 152.647118114519 Columns 47 through 48 1205.57743104359 72.8879735415449 Columns 49 through 50 21.0347044950641 6.66278440141026 Columns 51 through 52 6.91927893497435 918.031988536613 Columns 53 through 54 20.6485274671193 225.143626596535 Columns 55 through 56 4.52098441697705 1073.82768357604 Columns 57 through 58 43.9797809801496 5432.2899658874 Columns 59 through 60 5097.73349215021 378.277905563821 Columns 61 through 62 143.383734897816 8084.40156790069 Columns 63 through 64 3700.75305889254 632.135545537483 Columns 65 through 66 3567.93904014378 736.769850373999 Columns 67 through 68 30.5604345175103 18.1243974955316 Columns 69 through 70 30.3238852528298 208.677537196506 Columns 71 through 72 1438.17779239079 22.0409392243037 Columns 73 through 74 4380.685287129 293.161780958305 Columns 75 through 76 40.6149232303407 1127.09536893114 Columns 77 through 78 236.444029523998 85.5244283413034 Columns 79 through 80 1038.64515187852 499.24717208537 Columns 81 through 82 2830.50608142792 14306.0025147152 Columns 83 through 84 186.029170266599 6643.68510431985 Columns 85 through 86 5.6381805319911 17988.1586548203 Columns 87 through 88 15.0966457958109 12.4695973383292 Columns 89 through 90 6357.68119695513 1592.49919930114 Columns 91 through 92 3.91645701575519 1.12475684389066 Columns 93 through 94 7623.41464503173 7.32564109120773 Columns 95 through 96 19.830677771048 745.776355590179 Columns 97 through 98 17.1858418656117 109.097595382964 Columns 99 through 100 1.91135273507 19601.2649769497 figure, hist(y) z=log(x) z = Columns 1 through 2 2.25142787897575 0.837846970692665 Columns 3 through 4 1.80309923625171 1.58100236464716 Columns 5 through 6 2.18750972521175 2.03090343908867 Columns 7 through 8 1.5183476794864 -1.68720254095599 Columns 9 through 10 2.10584873755045 1.4922372769445 Columns 11 through 12 1.81715483986694 2.069311704468 Columns 13 through 14 2.22117216530455 1.99905442007124 Columns 15 through 16 0.566824851478729 1.40045909853173 Columns 17 through 18 2.23587856915082 2.21583307136535 Columns 19 through 20 1.41164579807915 2.19014348873744 Columns 21 through 22 -0.546602989124255 1.26092423802847 Columns 23 through 24 2.0957656963239 -2.31655211320071 Columns 25 through 26 0.328518416959114 0.70687856490703 Columns 27 through 28 0.686735382150383 1.79806037541678 Columns 29 through 30 1.0013225423708 0.687200875080922 Columns 31 through 32 -1.87902292699591 2.01060804574786 Columns 33 through 34 1.49312077447238 2.23196365875587 Columns 35 through 36 1.53900330573642 1.43186379125943 Columns 37 through 38 2.13561086257119 1.65851850357824 Columns 39 through 40 0.70629712801966 1.90529269979623 Columns 41 through 42 2.12598924705069 -1.62762663566865 Columns 43 through 44 1.91879902896653 1.33363439122509 Columns 45 through 46 2.11841705363146 1.61504791489503 Columns 47 through 48 1.95934998943744 1.45603580481906 Columns 49 through 50 1.11388626817725 0.640029842284697 Columns 51 through 52 0.659751482325121 1.92018672562076 Columns 53 through 54 1.10778476187574 1.68949388875454 Columns 55 through 56 0.411268079253568 1.94290346473513 Columns 57 through 58 1.33071029693328 2.15177569722286 Columns 59 through 60 2.14435709797615 1.78097302503799 Columns 61 through 62 1.6025189307961 2.19696807240788 Columns 63 through 64 2.10611896461489 1.86394118192038 Columns 65 through 66 2.10166078195548 1.88741437209583 Columns 67 through 68 1.22955463589331 1.06376510331918 Columns 69 through 70 1.2272797824849 1.67537361510869 Columns 71 through 72 1.98391201109819 1.12910967874795 Columns 73 through 74 2.12643967843409 1.73707879679321 Columns 75 through 76 1.30944991609289 1.94981667042678 Columns 77 through 78 1.6984943086325 1.4926348569543 Columns 79 through 80 1.93811878998701 1.82666017675163 Columns 81 through 82 2.07294684698622 2.25846960634123 Columns 83 through 84 1.65362769980335 2.17491330775945 Columns 85 through 86 0.547867857728154 2.28212408373664 Columns 87 through 88 0.998597675368922 0.92556498027068 Columns 89 through 90 2.16990122662403 1.99783280113004 Columns 91 through 92 0.311291725143266 -2.14074797085907 Columns 93 through 94 2.19042145117892 0.688828203218903 Columns 95 through 96 1.09434657711755 1.88925298560889 Columns 97 through 98 1.04524171454377 1.54591068821351 Columns 99 through 100 -0.434155937364709 2.29085146066398 hist(z) mean(x) ans = 5.28568227448892 median(x) ans = 5.29615756965886 mean(y) ans = 2223.40364250889 median(y) ans = 199.76731693411 median(z) ans = 1.66694605934347 mean(z) ans = 1.38686170339084 x=100*rand(1,20) x = Columns 1 through 2 58.2791681561231 42.3496256851051 Columns 3 through 4 51.5511752140763 33.3951479971759 Columns 5 through 6 43.2906596106729 22.5949868144447 Columns 7 through 8 57.9806873249599 76.0365009804344 Columns 9 through 10 52.9823116716066 64.0526498989835 Columns 11 through 12 20.906940443842 37.9818370350791 Columns 13 through 14 78.3328649867713 68.084575139723 Columns 15 through 16 46.1095126656699 56.7828712428834 Columns 17 through 18 79.4210651372615 5.91825934710711 Columns 19 through 20 60.2869085666992 5.02688037468729 min(x) ans = 5.02688037468729 max(x) ans = 79.4210651372615 x=sort(x) x = Columns 1 through 2 5.02688037468729 5.91825934710711 Columns 3 through 4 20.906940443842 22.5949868144447 Columns 5 through 6 33.3951479971759 37.9818370350791 Columns 7 through 8 42.3496256851051 43.2906596106729 Columns 9 through 10 46.1095126656699 51.5511752140763 Columns 11 through 12 52.9823116716066 56.7828712428834 Columns 13 through 14 57.9806873249599 58.2791681561231 Columns 15 through 16 60.2869085666992 64.0526498989835 Columns 17 through 18 68.084575139723 76.0365009804344 Columns 19 through 20 78.3328649867713 79.4210651372615 xp=(3*x(1)-x(2))/2 xp = 4.58119088847739 xs=(3*x(20)-x(19))/2 xs = 79.9651652125066 xd=[xp,x,xs] xd = Columns 1 through 2 4.58119088847739 5.02688037468729 Columns 3 through 4 5.91825934710711 20.906940443842 Columns 5 through 6 22.5949868144447 33.3951479971759 Columns 7 through 8 37.9818370350791 42.3496256851051 Columns 9 through 10 43.2906596106729 46.1095126656699 Columns 11 through 12 51.5511752140763 52.9823116716066 Columns 13 through 14 56.7828712428834 57.9806873249599 Columns 15 through 16 58.2791681561231 60.2869085666992 Columns 17 through 18 64.0526498989835 68.084575139723 Columns 19 through 20 76.0365009804344 78.3328649867713 Columns 21 through 22 79.4210651372615 79.9651652125066 y=1/40:1/20:1 y = Columns 1 through 2 0.025 0.075 Columns 3 through 4 0.125 0.175 Columns 5 through 6 0.225 0.275 Columns 7 through 8 0.325 0.375 Columns 9 through 10 0.425 0.475 Columns 11 through 12 0.525 0.575 Columns 13 through 14 0.625 0.675 Columns 15 through 16 0.725 0.775 Columns 17 through 18 0.825 0.875 Columns 19 through 20 0.925 0.975 yd=[0,y,1] yd = Columns 1 through 2 0 0.025 Columns 3 through 4 0.075 0.125 Columns 5 through 6 0.175 0.225 Columns 7 through 8 0.275 0.325 Columns 9 through 10 0.375 0.425 Columns 11 through 12 0.475 0.525 Columns 13 through 14 0.575 0.625 Columns 15 through 16 0.675 0.725 Columns 17 through 18 0.775 0.825 Columns 19 through 20 0.875 0.925 Columns 21 through 22 0.975 1 plot(x,y,'.') hold on plot(xd,yd) interp1(yd,xd,0.5) ans = 52.2667434428414 median(x) ans = 52.2667434428414 interp1(yd,xd,0.25) ans = 35.6884925161275 interp1(yd,xd,0.75) ans = 62.1697792328414 interp1(yd,xd,0.62) ans = 57.8609057167523 x=57*rand(1,13) x = Columns 1 through 2 23.6763670452637 17.384924589199 Columns 3 through 4 49.8389287804947 0.855541424567127 Columns 5 through 6 43.7731722306351 55.3381615375705 Columns 7 through 8 56.4347077789446 44.9651164573239 Columns 9 through 10 25.003536424942 28.4037442965634 Columns 11 through 12 12.1959099009815 36.6790604094649 Column 13 18.2420279155903 x=sort(x) x = Columns 1 through 2 0.855541424567127 12.1959099009815 Columns 3 through 4 17.384924589199 18.2420279155903 Columns 5 through 6 23.6763670452637 25.003536424942 Columns 7 through 8 28.4037442965634 36.6790604094649 Columns 9 through 10 43.7731722306351 44.9651164573239 Columns 11 through 12 49.8389287804947 55.3381615375705 Column 13 56.4347077789446 xp=(3*x(1)-x(2))/2 xp = -4.81464281364005 xd=(3*x(13)-x(12))/2 xd = 56.9829808996316 y=1/26:1/13:1 y = Columns 1 through 2 0.0384615384615385 0.115384615384615 Columns 3 through 4 0.192307692307692 0.269230769230769 Columns 5 through 6 0.346153846153846 0.423076923076923 Columns 7 through 8 0.5 0.576923076923077 Columns 9 through 10 0.653846153846154 0.730769230769231 Columns 11 through 12 0.807692307692308 0.884615384615385 Column 13 0.961538461538462 xs=xd xs = 56.9829808996316 xd=[xp,x,xs] xd = Columns 1 through 2 -4.81464281364005 0.855541424567127 Columns 3 through 4 12.1959099009815 17.384924589199 Columns 5 through 6 18.2420279155903 23.6763670452637 Columns 7 through 8 25.003536424942 28.4037442965634 Columns 9 through 10 36.6790604094649 43.7731722306351 Columns 11 through 12 44.9651164573239 49.8389287804947 Columns 13 through 14 55.3381615375705 56.4347077789446 Column 15 56.9829808996316 yd=[0 y 1] yd = Columns 1 through 2 0 0.0384615384615385 Columns 3 through 4 0.115384615384615 0.192307692307692 Columns 5 through 6 0.269230769230769 0.346153846153846 Columns 7 through 8 0.423076923076923 0.5 Columns 9 through 10 0.576923076923077 0.653846153846154 Columns 11 through 12 0.730769230769231 0.807692307692308 Columns 13 through 14 0.884615384615385 0.961538461538462 Column 15 1 interp1(yd,xd,0.5) ans = 28.4037442965634 median(0.5) ans = 0.5 plot(x,y,'.') hold off plot(x,y,'.') plot(x,y) diary off