3 – Shape

The other interesting thing is things fall down in the interesting fashion as you deviate from 10, 11, 12, 13, 14 all the way to 0 or 20. Obviously we got a curve that looks a bit like this. This curves is often called a bell curve because it’s quite feasible to think of it as a church bell– that’s move left and right and rings the bells. I did a related experiment–actually I bought a piece of software to flip a coin 1000 times and if you did the last optional units on programming, you wrote a piece of software to flip a coin a 1000 times and from that, I looked at the empirical frequency which is the same as that count of heads divided by a 1000, but this one scales between 0 and 1. I called this thing an experiment–I flip the coin a 1000 times, out comes a one singular number which is the ratio of heads to the total number of experiments. It should be 0.5 in the ideal case but often it’s a little bit off 0.5. I repeated this experiment 1000 times and that means I’ve got 1000 samples of this ratio over here. When I do this, I got a whole bunch of means. When I run a histogram over those, I might see a curve. What shape do you think the curve has–is it going to be like this, is it going to be like this, like this or like this, all are focused on 0.5. Which one do you think is it?

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