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Galton Board

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Demonstration of the Galton Board from the Large Maths Outreach and Careers Kit developed by the Institute of Mathematics and its Applications as part of the National HE STEM Programme.
Категория: Люди и блоги
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Текстовые комментарии (45)
GPC™ (8 дней назад)
1:00 no, not "a few": only 1 end up in the end.
mmilerngruppe (3 месяца назад)
1:49 normal distribution? no way, that's binomial distribution
strangerpainter (3 месяца назад)
is it just me or maybe its also just because of gravity? the balls are drawn towards the middle because its more likely to follow the downward path than the sideway path?
Felipe A. Barretto (4 месяца назад)
Matt! What a surprise to find you here.
Aaroosh Ramadorai (4 месяца назад)
1:53 Thats a pretty parker square of a normal distribution
Twoony Horned (5 месяцев назад)
Hey ! 01:11 You could have cleaned that plastic funnel before shooting!
hesham khalifa (6 месяцев назад)
It is so easy It called Galton board. It made by colorless balls. After that used a computer simulation program. In details: The process is done with all balls of white colour. After that, recording video for the balls are landed in each section at the bottom. Finally, effects of a computer colour simulation program is done for the recorded video.
MelodyBlur (6 месяцев назад)
Where can I buy this board? Looked everywhere, can't find anything this big
Kaisle (2 месяца назад)
Ok what next
Gerard Hoffenkamp (3 месяца назад)
buy nails and a hammer
Dicky Silitonga (7 месяцев назад)
Looking at the reddish scar, there is a good probability that he assembled the board just hours before he recorded this vid. Did it in a hurry and a nail scratched his hand..
Gumbypotty (7 месяцев назад)
The Galton board doesn't show random distribution. You will always end up with a Bell curve.
Lyndon Hanz Pernites (1 год назад)
WTF It's Matt Parker!
sudhindra srinivas (1 год назад)
Fascinating stuff.. thanks.
zeycus (1 год назад)
Very nice everything, except the "theoretical curve' drawn in 1:53. That is NOT the shape of the PDF of a normal distribution, the slope in both sides is way too constant.
Joanna Rutkowska (1 год назад)
Do you know where I can buy it?
jimmy galton (1 год назад)
hey who ever invented this is my anaster
Ryan Denziloe (2 года назад)
Pronounced "gall-ton" actually.
Hoo Dini (4 месяца назад)
that's how he pronounced it
jimmy galton (1 год назад)
Galton you put more emphasis on the gal
allnamesaretakenb4 (2 года назад)
Valve just disprooved the normal distribution, whoo'd a thunk
Yakup Kılıç (2 года назад)
How to get 24000 on lina's ball
k (2 года назад)
dota 2 lina's ball brought me here
Reino Brown (2 года назад)
same but dota 2 is rigged
LumpyBumpyAcidFish (2 года назад)
no barrier here
Austin McDougall (2 года назад)
Hey ENGR 112 people!!
Ron1212 (6 месяцев назад)
hello are the exams difficult
chrisdavidi (2 года назад)
this just blows my mind every time i see it.
Khamis Buol (2 года назад)
Hey students of Canberra College ;)
Brianna Yap (2 года назад)
+Khamis Buol <3
Kieran Sibley (2 года назад)
+Khamis Buol inspirational comment, man you changed my life
Andy Telfer (2 года назад)
+Khamis Buol ;)
Readme .txt (4 года назад)
haha, your thinking is WRONG man :)
Toby Brooks (5 лет назад)
ah okay, thanks very much
Anirban Mandal (5 лет назад)
Bell curve right?
SuperDevoted (5 лет назад)
Hope that kind of helps. It might be good to read about the law of large numbers and the central limit theorem as that is essentially what is going on here.
SuperDevoted (5 лет назад)
And adding more nails is a representation of the central limit theorem: As the ball falls it is essentially creating a list of (supposedly independent) random variables. {X1,X2,....Xn} Where Xi is +1 if it falls right and 0 if it falls left. Adding these up tells you which space it will fall into. Central theorem says as long as n is sufficiently big then the sum will be approximately normal. So the number of rows of nails that the ball passes has to be large for it to be approximately normal
SuperDevoted (5 лет назад)
No, not really.What if there was one peg and only two spaces for balls to drop into, would it look normal then? No, it would just be 50/50. Adding more balls is showing how the "Law of large numbers" works which Bernoulli proved. Basically, this says that performing the experiment loads of times we will get close to the expected value. So the histogram of the walls will fit close to the actually distribution (whether it is normal or not)....
Toby Brooks (5 лет назад)
Why woud number of balls not also help? wouldnt it not resemble a bell curve with only 3 or 4?
I Baram (5 лет назад)
Also great example of the large number theory:)
romski3737 (5 лет назад)
For more balls, better approximation of a normal distribution, so more balls = closer to the normal distribution curve. As for more pegs, its probably a similar story, but im not sure.
SuperDevoted (5 лет назад)
Yeah, this is right. Just because you have added more balls it hasn't changed the distribution :/ it just shows the shape better
Thomas Ledgerwood (5 лет назад)
So is it a case of More balls = better representation of the distribution and more nails = closer to the normal distribution?
romski3737 (5 лет назад)
True, but the number of balls increases the approximation of the binomial distribution to be closer to a normal distribution as you are increasing the number of trails.
SuperDevoted (5 лет назад)
It's not the number of balls that match it to the normal distribution it is having more rows of pegs...

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