Last Uncertainty Wednesday, we started to look at the behavior of the mean of a sample by repeatedly drawing samples. We used a sample of 10 rolls of a fair die. We know that the expected value of the probability distribution is 3.5 but we saw that the sample mean can deviate substantially from that on a small sample. In particular, with 10 rolls we got sample means both close to 1 (almost every roll is a 1) and close to 6 (almost every roll is a 6). The fact that the sample mean itself is ra...