Marbles as demonstrators of distribution of the sample mean and confidence intervals

On Monday the tenth of October I introduced the normal distribution as a random distribution by scattering plastic beads and showing that the mess on the floor was distributed normally. On Wednesday I gave each student five marbles. Marble trading in progress I told them to keep all, trade away some, or trade away all - their choice. Afterwards some students had none, some still had five, and some had many marbles. Before and after trading marbles per student and quintet averages The data above from the 9:00 section shows that while many student wound up with five after trading marbles, or choosing not to trade, some students have more marbles and a few had no marbles. I asked what the average number of marbles each student had post-trading, most did not realize that the population mean for the class remained five. Statistics before and after marble trading and for the quintets That the population mean number of marbles per student remains five can been from t...