{"product_id":"galton-board-normal-distribution-mathematical-model-scientific-ornaments-stress-relieving-gifts-teaching-aids","title":"Galton board normal distribution, mathematical desk object - QUINCUNX","description":"\u003cstyle\u003e\n.aa{font-family:Georgia,'Times New Roman',serif;color:#1A1A1A;line-height:1.7;font-size:15px;max-width:760px;margin:0 auto}\n.aa p{margin:0 0 1rem}\n.aa a{color:#185FA5;text-decoration:underline}\n.aa .aa-title{display:inline-block;border-bottom:2px solid #FAC775;padding-bottom:4px;font-size:16px;font-weight:600;margin:1.75rem 0 .5rem;letter-spacing:.3px;color:#1A1A1A}\n.aa .aa-badge{display:inline-block;font-size:11px;font-weight:700;letter-spacing:.5px;text-transform:uppercase;padding:3px 10px;border-radius:20px;margin:0 4px 4px 0;vertical-align:middle;font-family:Georgia,serif}\n.aa .aa-badge-or{background:#FAC775;color:#1A1A1A}\n.aa .aa-badge-brun{background:#5C3A1E;color:#FFF9E8}\n.aa .aa-badge-noir{background:#1A1A1A;color:#FAC775}\n.aa 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summary::after{content:\"\\2212\"}\n.aa .aa-a{font-size:13px;color:#3a3a3a;margin-top:.5rem}\n.aa .aa-a p{margin:0 0 .5rem}\n@media(max-width:600px){.aa .aa-vars,.aa .aa-ben{grid-template-columns:1fr}}\n\u003c\/style\u003e\n\u003cdiv class=\"aa\"\u003e\n\n\n\u003cp\u003e\u003cspan class=\"aa-badge aa-badge-noir\"\u003eProbability\u003c\/span\u003e \u003cspan class=\"aa-badge aa-badge-bleu\"\u003eDesk accessory\u003c\/span\u003e Flip it, and randomness falls into order before your eyes. The \u003cstrong\u003eGalton board QUINCUNX\u003c\/strong\u003e drops \u003cstrong\u003ehundreds of small black beads\u003c\/strong\u003e through rows of \u003cstrong\u003epegs\u003c\/strong\u003e: at each obstacle, every bead moves left or right at random. Yet, once they reach the bottom, they pile up in columns, tracing a shape that is almost always identical: the famous \u003cstrong\u003ebell curve\u003c\/strong\u003e of the \u003cstrong\u003enormal distribution\u003c\/strong\u003e. The vertical frame rests on a desk; the \u003cstrong\u003etransparent\u003c\/strong\u003e plate allows you to see the entire journey, from the \u003cstrong\u003ehourglass-shaped\u003c\/strong\u003e reservoir to the columns. Three versions are available: a black frame with the Gaussian curve printed in gold, a white frame with the curve printed in red, or a white frame without a curve, to let the beads speak for themselves. A demonstration piece as much as a soothing \u003cstrong\u003edesk sculpture\u003c\/strong\u003e, the Galton board fascinates mathematicians, data scientists, teachers, and anyone who loves to see an abstract idea take shape before their eyes.\u003c\/p\u003e\n\n\n\u003ch3 class=\"aa-title\"\u003eThe three versions\u003c\/h3\u003e\n\n\u003cdiv class=\"aa-vars\"\u003e\n\n  \u003cdiv class=\"aa-var\"\u003e\n\n\u003cdiv class=\"aa-var-v dark\" style=\"background:linear-gradient(135deg,#1A1A1A 0%,#2A2A2A 70%,#C8A84B 100%)\"\u003eBLACK AND GOLD\u003c\/div\u003e\n\n\u003cdiv class=\"aa-var-i\"\u003e\n\n\u003cspan class=\"aa-var-n\"\u003eBlack, gold curve\u003c\/span\u003e\u003cspan class=\"aa-var-d\"\u003eBlack frame, Gaussian curve printed in gold: the most elegant version for an executive desk\u003c\/span\u003e\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n  \u003cdiv class=\"aa-var\"\u003e\n\n\u003cdiv class=\"aa-var-v light\" style=\"background:linear-gradient(135deg,#F5F0E8 0%,#F5F0E8 70%,#A3262A 100%)\"\u003eWHITE AND RED\u003c\/div\u003e\n\n\u003cdiv class=\"aa-var-i\"\u003e\n\n\u003cspan class=\"aa-var-n\"\u003eWhite, red curve\u003c\/span\u003e\u003cspan class=\"aa-var-d\"\u003eWhite frame, curve printed in red: immediate reading of theory against experience\u003c\/span\u003e\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n  \u003cdiv class=\"aa-var\"\u003e\n\n\u003cdiv class=\"aa-var-v light\" style=\"background:#F5F0E8\"\u003ePURE WHITE\u003c\/div\u003e\n\n\u003cdiv class=\"aa-var-i\"\u003e\n\n\u003cspan class=\"aa-var-n\"\u003eWhite, no curve\u003c\/span\u003e\u003cspan class=\"aa-var-d\"\u003eWhite frame without a printed curve: only the beads draw the bell, without reference\u003c\/span\u003e\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003cdiv class=\"aa-mat\"\u003e\n\n\u003ch3\u003eFrom bead to central limit theorem\u003c\/h3\u003e\n\n\u003cp\u003eThe British scientist \u003cstrong\u003eSir Francis Galton\u003c\/strong\u003e conceived this device in the 1870s and described it in his work \u003cem\u003eNatural Inheritance\u003c\/em\u003e in 1889. He called it the \u003cstrong\u003equincunx\u003c\/strong\u003e, after the staggered arrangement of the nails. Its goal: to show that a multitude of small, random, and independent events produces, collectively, a perfectly predictable distribution.\u003c\/p\u003e\n\n\u003cp\u003eEach bead encounters several rows of pegs in succession and, each time, has about a 50\/50 chance of going left or right. To end up on the far right, it would have to fall on the same side at every row, which is very improbable; the paths leading to the center, however, are extremely numerous. The resulting distribution follows a \u003cstrong\u003ebinomial distribution\u003c\/strong\u003e which, with many rows and beads, approximates the \u003cstrong\u003enormal distribution\u003c\/strong\u003e. It is a concrete illustration of the central limit theorem, one of the pillars of modern statistics.\u003c\/p\u003e\n\n\u003cp\u003eGalton, a cousin of Charles Darwin, was interested in the variation of characteristics in populations, such as the height of individuals. The quincunx served him to show how small, multiple, and independent causes produce this famous bell-shaped distribution found everywhere in nature and in data.\u003c\/p\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003ch3 class=\"aa-title\"\u003eWhy you will love it\u003c\/h3\u003e\n\n\u003cdiv class=\"aa-ben\"\u003e\n\n  \u003cdiv class=\"aa-b\"\u003e\n\n\u003cspan class=\"ic\"\u003e✦\u003c\/span\u003e\u003cdiv\u003e\n\n\u003cspan class=\"tt\"\u003eMaths made visible\u003c\/span\u003e\u003cspan class=\"ds\"\u003eThe normal distribution takes shape before your eyes, without formulas or screens, simply by the fall of the beads.\u003c\/span\u003e\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n  \u003cdiv class=\"aa-b\"\u003e\n\n\u003cspan class=\"ic\"\u003e◆\u003c\/span\u003e\u003cdiv\u003e\n\n\u003cspan class=\"tt\"\u003eA soothing ritual\u003c\/span\u003e\u003cspan class=\"ds\"\u003eTurning the board over and watching the beads cascade offers a contemplative break in the middle of a busy day.\u003c\/span\u003e\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n  \u003cdiv class=\"aa-b\"\u003e\n\n\u003cspan class=\"ic\"\u003e➤\u003c\/span\u003e\u003cdiv\u003e\n\n\u003cspan class=\"tt\"\u003eNever twice the same\u003c\/span\u003e\u003cspan class=\"ds\"\u003eEach descent is unique in its detail, but the bell always returns: a show infinitely renewed.\u003c\/span\u003e\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n  \u003cdiv class=\"aa-b\"\u003e\n\n\u003cspan class=\"ic\"\u003e✦\u003c\/span\u003e\u003cdiv\u003e\n\n\u003cspan class=\"tt\"\u003eA teaching tool\u003c\/span\u003e\u003cspan class=\"ds\"\u003eIdeal for explaining probability, randomness, and statistics to a class, a team, or curious children.\u003c\/span\u003e\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n  \u003cdiv class=\"aa-b\"\u003e\n\n\u003cspan class=\"ic\"\u003e◆\u003c\/span\u003e\u003cdiv\u003e\n\n\u003cspan class=\"tt\"\u003eThree aesthetics\u003c\/span\u003e\u003cspan class=\"ds\"\u003eBlack and gold, white and red, or pure white: a version for every desk style.\u003c\/span\u003e\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n  \u003cdiv class=\"aa-b\"\u003e\n\n\u003cspan class=\"ic\"\u003e➤\u003c\/span\u003e\u003cdiv\u003e\n\n\u003cspan class=\"tt\"\u003eNo batteries or settings\u003c\/span\u003e\u003cspan class=\"ds\"\u003eNo power supply: gravity does all the work, with every flip.\u003c\/span\u003e\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003cdiv class=\"aa-des\"\u003e\n\n\u003cp class=\"t\"\u003eThe hidden order in randomness\u003c\/p\u003e\n\n\u003cdiv class=\"x\"\u003e\n\n\u003cp\u003eTaken one by one, a bead is unpredictable: no one can say which column it will end up in. Taken by the hundreds, they obey a law of almost disturbing regularity. This tension between the \u003cstrong\u003eunpredictable individual\u003c\/strong\u003e and \u003cstrong\u003ethe predictable collective\u003c\/strong\u003e is at the heart of statistics, gas physics, surveys, insurance, and data analysis.\u003c\/p\u003e\n\n\u003cp\u003eGalton saw it as a spectacle of rare beauty. More than a century later, the effect remains intact. On a desk, the board becomes a companion for reflection: you turn it at the start of a meeting, while a file is loading, or simply to give yourself a minute of calm. The \u003cstrong\u003erustling of the beads\u003c\/strong\u003e, the bell gradually forming, the symmetry that always ends up asserting itself: there is a lesson in patience here, and a small demonstration that the world, even if seemingly chaotic, keeps a shape.\u003c\/p\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003cdiv class=\"aa-steps\"\u003e\n\n\u003ch4\u003eUsage in 4 steps\u003c\/h4\u003e\n\n  \u003cdiv class=\"aa-step\"\u003e\n\n\u003cspan class=\"aa-step-n\"\u003e1\u003c\/span\u003e\u003cdiv class=\"aa-step-c\"\u003e\n\n\u003cstrong\u003ePlace the board\u003c\/strong\u003e upright on a flat and stable surface, with the transparent plate facing you.\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n  \u003cdiv class=\"aa-step\"\u003e\n\n\u003cspan class=\"aa-step-n\"\u003e2\u003c\/span\u003e\u003cdiv class=\"aa-step-c\"\u003e\n\n\u003cstrong\u003eGently flip it\u003c\/strong\u003e to return all the beads to the upper hourglass-shaped reservoir.\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n  \u003cdiv class=\"aa-step\"\u003e\n\n\u003cspan class=\"aa-step-n\"\u003e3\u003c\/span\u003e\u003cdiv class=\"aa-step-c\"\u003e\n\n\u003cstrong\u003ePut it back in position\u003c\/strong\u003e and let the beads pass through the rows of pegs, without shaking the frame.\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n  \u003cdiv class=\"aa-step\"\u003e\n\n\u003cspan class=\"aa-step-n\"\u003e4\u003c\/span\u003e\u003cdiv class=\"aa-step-c\"\u003e\n\n\u003cstrong\u003eObserve the bell curve\u003c\/strong\u003e forming in the columns and compare it, depending on the version, to the printed curve.\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003ch3 class=\"aa-title\"\u003eWhich version to choose?\u003c\/h3\u003e\n\n\u003cdiv class=\"aa-cmp\"\u003e\u003ctable\u003e\n\n\u003cthead\u003e\u003ctr\u003e\n\n\u003cth\u003eCriteria\u003c\/th\u003e\n\n\u003cth\u003eBlack, gold curve\u003c\/th\u003e\n\n\u003cth\u003eWhite, red curve\u003c\/th\u003e\n\n\u003cth\u003eWhite, no curve\u003c\/th\u003e\n\n\n\u003c\/tr\u003e\u003c\/thead\u003e\n\n\u003ctbody\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003eFrame\u003c\/td\u003e\n\n\u003ctd\u003eBlack\u003c\/td\u003e\n\n\u003ctd\u003eWhite\u003c\/td\u003e\n\n\u003ctd\u003eWhite\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr class=\"hl\"\u003e\n\n\u003ctd\u003ePrinted Gaussian curve\u003c\/td\u003e\n\n\u003ctd\u003eYes, gold\u003c\/td\u003e\n\n\u003ctd\u003eYes, red\u003c\/td\u003e\n\n\u003ctd\u003eNo\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003eTheory \/ experience reading\u003c\/td\u003e\n\n\u003ctd\u003eYes, elegant contrast\u003c\/td\u003e\n\n\u003ctd\u003eYes, highly legible\u003c\/td\u003e\n\n\u003ctd\u003eOpen, no reference\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr class=\"hl\"\u003e\n\n\u003ctd\u003eAtmosphere\u003c\/td\u003e\n\n\u003ctd\u003eExecutive office, dark interior\u003c\/td\u003e\n\n\u003ctd\u003eClassroom, bright office\u003c\/td\u003e\n\n\u003ctd\u003eMinimalist interior\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003eBeads\u003c\/td\u003e\n\n\u003ctd\u003eBlack\u003c\/td\u003e\n\n\u003ctd\u003eBlack\u003c\/td\u003e\n\n\u003ctd\u003eBlack\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr class=\"hl\"\u003e\n\n\u003ctd\u003ePrinciple\u003c\/td\u003e\n\n\u003ctd\u003eIdentical: staggered pegs, hourglass reservoir, flipping\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\n\u003c\/tbody\u003e\n\n\n\u003c\/table\u003e\u003c\/div\u003e\n\n\n\u003cdiv class=\"aa-info\"\u003e\u003cp\u003e\u003cstrong\u003eGood to know:\u003c\/strong\u003e the resulting bell is never perfectly identical from one flip to the next. One column may stick out a little, another remain slightly behind: these are \u003cstrong\u003efluctuations of randomness\u003c\/strong\u003e, also predicted by theory. The more beads there are, the closer the shape gets to the ideal curve. Other objects to awaken your logical mind await in our \u003ca href=\"\/collections\/casse-tetes-et-bureau\"\u003epuzzles and desk\u003c\/a\u003e collection.\u003c\/p\u003e\u003c\/div\u003e\n\n\n\u003cdiv class=\"aa-tip\"\u003e\n\n\u003cp\u003e\u003cstrong\u003eTip:\u003c\/strong\u003e flip the board slowly and wait for all the beads to return to the reservoir before turning it back over: the descent will be more regular. If a few beads get stuck between two pegs, gently tap the side of the frame with the tip of your finger.\u003c\/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eEducational idea:\u003c\/strong\u003e ask your students or your children to bet on the fullest column before flipping the board. The center almost always wins, and it is the ideal starting point to talk about probability.\u003c\/p\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003ch3 class=\"aa-title\"\u003eTechnical characteristics\u003c\/h3\u003e\n\n\u003cdiv class=\"aa-sp\"\u003e\u003ctable\u003e\u003ctbody\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003eType\u003c\/td\u003e\n\n\u003ctd\u003eDemonstration Galton board (quincunx)\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003ePrinciple\u003c\/td\u003e\n\n\u003ctd\u003eBinomial distribution tending towards the normal distribution\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003eFormat\u003c\/td\u003e\n\n\u003ctd\u003eVertical desktop frame\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003ePlate\u003c\/td\u003e\n\n\u003ctd\u003eTransparent, staggered rows of pegs\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003eReservoir\u003c\/td\u003e\n\n\u003ctd\u003eHourglass-shaped\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003eBeads\u003c\/td\u003e\n\n\u003ctd\u003eSeveral hundred small black beads\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003eVersions\u003c\/td\u003e\n\n\u003ctd\u003eBlack gold curve, white red curve, white no curve\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003ePrints\u003c\/td\u003e\n\n\u003ctd\u003eEnglish text on the plate\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003eOperation\u003c\/td\u003e\n\n\u003ctd\u003eBy gravity, by flipping the board\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003ePower\u003c\/td\u003e\n\n\u003ctd\u003eNone\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003eDimensions\u003c\/td\u003e\n\n\u003ctd\u003eNot communicated\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\u003ctr\u003e\n\n\u003ctd\u003eWeight and exact number of beads\u003c\/td\u003e\n\n\u003ctd\u003eNot communicated\u003c\/td\u003e\n\n\n\u003c\/tr\u003e\n\n\n\u003c\/tbody\u003e\u003c\/table\u003e\u003c\/div\u003e\n\n\n\u003cdiv class=\"aa-warn\"\u003e\u003cp\u003e\u003cstrong\u003ePrecautions:\u003c\/strong\u003e the board contains very \u003cstrong\u003esmall beads\u003c\/strong\u003e. If the plate breaks, they could escape and be swallowed: not suitable for children under 3 years old, and use by young children must be under adult supervision. Do not drop the board, do not shake it violently, and do not attempt to open it.\u003c\/p\u003e\u003c\/div\u003e\n\n\n\u003cdiv class=\"aa-gift\"\u003e\n\n\u003ch3\u003eA gift for rational minds\u003c\/h3\u003e\n\n\u003cp\u003eFor a mathematics teacher, a statistician, an actuary, an engineer, a data scientist, or a recent graduate, the Galton board is a gift that makes sense: it celebrates their discipline in an elegant and fun way. It also beautifully marks a retirement, a thesis defense, or a promotion.\u003c\/p\u003e\n\n\u003cp\u003eIn a living room, on a bookshelf, or in an entryway, it also stands out as an intriguing \u003cstrong\u003edecorative\u003c\/strong\u003e object that guests cannot help but flip over. Combine it with other pieces from the \u003ca href=\"\/collections\/objets-scientifiques\"\u003eLab, our world of scientific objects\u003c\/a\u003e, to compose a desk that makes you want to think.\u003c\/p\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003ch3 class=\"aa-title\"\u003eFrequently Asked Questions\u003c\/h3\u003e\n\n\u003cdiv class=\"aa-faq\"\u003e\n\n  \u003cdetails class=\"aa-q\"\u003e\u003csummary\u003eWhat is a Galton board?\u003c\/summary\u003e\u003cdiv class=\"aa-a\"\u003e\u003cp\u003eThe Galton board, also called a \u003cstrong\u003equincunx\u003c\/strong\u003e, is a device conceived by the British scientist \u003cstrong\u003eSir Francis Galton\u003c\/strong\u003e in the 1870s and described in 1889. It consists of a vertical plate fitted with staggered rows of pegs, a bead reservoir, and receiving columns. As they fall, each bead bounces randomly to the left or right off each peg. Once all the beads have arrived, their distribution in the columns forms a \u003cstrong\u003ebell curve\u003c\/strong\u003e, characteristic of the \u003cstrong\u003enormal distribution\u003c\/strong\u003e. It is one of the most telling demonstrations of the link between individual randomness and collective regularity.\u003c\/p\u003e\u003c\/div\u003e\u003c\/details\u003e\n  \u003cdetails class=\"aa-q\"\u003e\u003csummary\u003eWhy do the beads form a bell curve?\u003c\/summary\u003e\u003cdiv class=\"aa-a\"\u003e\u003cp\u003eAt each peg, a bead has about a \u003cstrong\u003e50\/50 chance\u003c\/strong\u003e of going left or right. To end up in an extreme column, it would have to fall on the same side at every row, which happens very rarely. The central columns, on the other hand, can be reached by a very large number of different paths, mixtures of lefts and rights. This is why they fill up more. Mathematically, the distribution follows a \u003cstrong\u003ebinomial distribution\u003c\/strong\u003e, which approaches the \u003cstrong\u003enormal distribution\u003c\/strong\u003e as the number of rows and beads increases. It is a concrete illustration of the \u003cstrong\u003ecentral limit theorem\u003c\/strong\u003e.\u003c\/p\u003e\u003c\/div\u003e\u003c\/details\u003e\n  \u003cdetails class=\"aa-q\"\u003e\u003csummary\u003eHow to restart the experiment?\u003c\/summary\u003e\u003cdiv class=\"aa-a\"\u003e\u003cp\u003eSimply \u003cstrong\u003eflip the board\u003c\/strong\u003e. Rotate it gently so that all the beads return to the \u003cstrong\u003ehourglass-shaped reservoir\u003c\/strong\u003e, wait a few seconds for the last ones to go back up, then place it back in position on a flat surface. The beads then flow through the pegs again and the bell reforms in the columns. The operation can be repeated at will, without batteries or settings: only \u003cstrong\u003egravity\u003c\/strong\u003e is at work. If a few beads remain blocked, tap the side of the frame slightly; however, avoid shaking the board, which would distort the descent.\u003c\/p\u003e\u003c\/div\u003e\u003c\/details\u003e\n  \u003cdetails class=\"aa-q\"\u003e\u003csummary\u003eWhat is the difference between the three versions?\u003c\/summary\u003e\u003cdiv class=\"aa-a\"\u003e\u003cp\u003eThe principle and operation are identical; only the \u003cstrong\u003eaesthetics\u003c\/strong\u003e change. The \u003cstrong\u003eblack with gold curve\u003c\/strong\u003e version offers a refined look, ideal for an executive office or dark interior. The \u003cstrong\u003ewhite with red curve\u003c\/strong\u003e version allows for an immediate comparison between the actual distribution of the beads and the theoretical printed curve, making it an excellent teaching aid. The \u003cstrong\u003ewhite without curve\u003c\/strong\u003e version focuses on simplicity: no indication guides the eye; it is the beads alone that reveal the shape. In all three cases, the beads are black and English text is printed on the plate.\u003c\/p\u003e\u003c\/div\u003e\u003c\/details\u003e\n  \u003cdetails class=\"aa-q\"\u003e\u003csummary\u003eIs the resulting curve always perfect?\u003c\/summary\u003e\u003cdiv class=\"aa-a\"\u003e\u003cp\u003eNo, and that is the whole point of the experiment. The general bell shape returns with every flip, but the details vary: one column might stick out slightly, another stay a bit behind, the curve might seem slightly shifted. These deviations are the \u003cstrong\u003erandom fluctuations\u003c\/strong\u003e, also predicted by probability theory. The greater the number of beads, the closer the distribution gets to the \u003cstrong\u003eideal curve\u003c\/strong\u003e. Comparing several successive descents is, in fact, an excellent way to understand the difference between a \u003cstrong\u003etheoretical law\u003c\/strong\u003e and a real sample, an essential notion in statistics.\u003c\/p\u003e\u003c\/div\u003e\u003c\/details\u003e\n  \u003cdetails class=\"aa-q\"\u003e\u003csummary\u003eIs it suitable for educational use?\u003c\/summary\u003e\u003cdiv class=\"aa-a\"\u003e\u003cp\u003eAbsolutely. The Galton board is a classic in \u003cstrong\u003eprobability and statistics\u003c\/strong\u003e courses, from middle school to university. It allows for a visual approach to randomness, equiprobability, the \u003cstrong\u003ebinomial distribution\u003c\/strong\u003e, the normal distribution, mean, and dispersion. Before flipping it, you can ask students to predict the fullest column, then confront their intuitions with the result. The version with the printed curve facilitates comparison with the theoretical model. Given the \u003cstrong\u003esmall beads\u003c\/strong\u003e, use by young children must be under adult supervision.\u003c\/p\u003e\u003c\/div\u003e\u003c\/details\u003e\n  \u003cdetails class=\"aa-q\"\u003e\u003csummary\u003eHow to maintain the board?\u003c\/summary\u003e\u003cdiv class=\"aa-a\"\u003e\u003cp\u003eMaintenance is minimal. Dust the frame and plate with a \u003cstrong\u003edry, soft microfiber cloth\u003c\/strong\u003e; avoid household products, alcohol, and abrasive sponges, which could scratch or dull the transparent plate and the \u003cstrong\u003eprints\u003c\/strong\u003e. Do not attempt to open the board: the beads are enclosed to function correctly and not be lost. Store it away from direct sunlight and humidity, and handle it with care when flipping to avoid shocks. A clean plate guarantees a \u003cstrong\u003eclear reading\u003c\/strong\u003e of the bell and preserves the elegance of the object on your desk.\u003c\/p\u003e\u003c\/div\u003e\u003c\/details\u003e\n\n\u003c\/div\u003e\n\n\n\n\u003c\/div\u003e\n\u003cscript type=\"application\/ld+json\"\u003e{\"@context\": \"https:\/\/schema.org\", \"@type\": \"FAQPage\", \"mainEntity\": [{\"@type\": \"Question\", \"name\": \"Qu'est-ce qu'une planche de Galton ?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"Également appelée quincunx, elle a été imaginée par Sir Francis Galton dans les années 1870. C'est une plaque verticale garnie de picots en quinconce, avec un réservoir de billes et des colonnes. Chaque bille rebondit au hasard sur les picots, mais l'ensemble forme une courbe en cloche, caractéristique de la loi normale.\"}}, {\"@type\": \"Question\", \"name\": \"Pourquoi les billes forment-elles une courbe en cloche ?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"À chaque picot, la bille a environ une chance sur deux d'aller à gauche ou à droite. Atteindre une colonne extrême exige de tomber toujours du même côté, ce qui est rare, alors que de très nombreux chemins mènent au centre. La répartition suit une loi binomiale qui se rapproche de la loi normale : c'est le théorème central limite.\"}}, {\"@type\": \"Question\", \"name\": \"Comment recommencer l'expérience ?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"Retournez doucement la planche pour que toutes les billes regagnent le réservoir en forme de sablier, attendez quelques secondes, puis remettez-la à l'endroit sur une surface plane. Les billes redescendent et la cloche se reforme. L'opération se répète à volonté, sans pile, grâce à la seule gravité. Tapotez le cadre si une bille reste bloquée.\"}}, {\"@type\": \"Question\", \"name\": \"Quelle différence entre les trois versions ?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"Le fonctionnement est identique, seule l'esthétique change. Le modèle noir à courbe dorée offre un rendu raffiné pour un bureau de direction. Le modèle blanc à courbe rouge permet de comparer la répartition réelle à la courbe théorique, idéal en pédagogie. Le modèle blanc sans courbe mise sur l'épure : seules les billes révèlent la forme.\"}}, {\"@type\": \"Question\", \"name\": \"La courbe obtenue est-elle toujours parfaite ?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"Non, et c'est tout l'intérêt. La cloche revient à chaque retournement, mais le détail varie : une colonne dépasse, une autre reste en retrait. Ces écarts sont des fluctuations aléatoires prévues par la théorie. Plus il y a de billes, plus la répartition approche la courbe idéale. Comparer plusieurs descentes illustre la différence entre loi théorique et échantillon.\"}}, {\"@type\": \"Question\", \"name\": \"Est-ce adapté à un usage pédagogique ?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"Oui. C'est un classique des cours de probabilités et de statistiques, du collège à l'université. Elle aborde visuellement le hasard, la loi binomiale, la loi normale, la moyenne et la dispersion. On peut faire prédire la colonne la plus remplie avant de retourner la planche. Avec les petites billes, les jeunes enfants doivent être surveillés.\"}}, {\"@type\": \"Question\", \"name\": \"Comment entretenir la planche ?\", \"acceptedAnswer\": {\"@type\": \"Answer\", \"text\": \"Dépoussiérez le cadre et la plaque avec un chiffon microfibre sec et doux. Évitez produits ménagers, alcool et éponges abrasives, qui pourraient rayer la plaque ou ternir les impressions. N'ouvrez pas la planche : les billes doivent rester enfermées. Rangez-la à l'abri du soleil et de l'humidité, et manipulez-la avec soin lors des retournements.\"}}]}\u003c\/script\u003e\n","brand":"Atelier Atypique","offers":[{"title":"White","offer_id":54860800098627,"sku":"1005011573975047-no red curve","price":89.9,"currency_code":"GBP","in_stock":true},{"title":"White \/ Red","offer_id":54860800131395,"sku":"1005011573975047-with red curve","price":89.9,"currency_code":"GBP","in_stock":true},{"title":"Black \/ Gold","offer_id":54860800164163,"sku":"1005011573975047-black gold curve","price":89.9,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0231\/3365\/0991\/files\/Sfe9551f69f2a48299a0ee1baffc12b2fN.webp?v=1791061177","url":"https:\/\/atelier-atypique.co.uk\/products\/galton-board-normal-distribution-mathematical-model-scientific-ornaments-stress-relieving-gifts-teaching-aids","provider":"Atelier Atypique","version":"1.0","type":"link"}