Algodoo

What do the red dots in each bin represent?

Q: What do the red dots in each bin represent?
A: The red dot positions mark bar heights for a perfect binomial distribution curve.

Ahhh... makes sense! Thanks.


Edit: Would it also make sense to display the resulting number of balls in each bin after a run (like I did in my Galton Board scene)? That would be useful for people who may want to confirm your calculation results with an external calculator.

Q: Would it also make sense to display the resulting number of balls in each bin after a run?
A: Yes. Thanks. I will probably do that at some point.

That was quick!

I noticed that when I alter the "No. of rows" value, the "Ideal Std Dev" value changes immediately, without clicking the "OK" button, regardless of the number of balls selected. Is that correct?

Q: When the "No. of rows" value changes, the "Ideal Std Dev" value changes immediately. Is that correct?
A: Yes. Ideal StdDev = (0.25*rows)^0.5

I searched for "idealized standard deviation" and it appears that the concept is used for sports events like baseball or football games. Also, according to the definition that I found, one of the terms in the equation is the actual SD. Here is a quote from one of my sources: The “idealized” standard deviation (ISD) is the quotient of the actual standard deviation of results in a season divided by 0.5/N, where N is equal to the number of games in a season.

This is the first time I heard of idealized standard deviation, and therefore I don't fully understand its purpose.

I wrote "ideal" because ideal is shorter than "perfect". I'm not even sure perfect is the best word. If you searched for "formula for standard deviation of a binomial distribution" then you will find the formula.

This seems really nice! Also, I just reali(z)ed that having more balls/less rows can make it more accurate!

Thanks.