| $x_{1}$ | $x_{2}$ | $x_{3}$ | $x_{4}$ | $x_{5}$ | $x_{6}$ | $x_{7}$ | $x_{8}$ | $x_{9}$ | $x_{10}$ | |
|---|---|---|---|---|---|---|---|---|---|---|
| # Spin-up particles | 7 | 5 | 5 | 8 | 5 | 7 | 8 | 2 | 7 | 8 |
M=Number of events in a single experiment
N=Number of experiments
| M=100,N=1 | M=10,N=10 | M=1,N=100 | |
|---|---|---|---|
| $P=\frac{\bar{x}}{N}$ | .59 | .59 | .59 |
| $\sum x_{i}^2$ | 3481 | 385 | 59 |
| $N \bar{X}$ | 3481 | 348.1 | 34.81 |
| $S^2$ | 0 | 4.1 | .244 |
| $S_{p}=\frac{S}{M}$ | 0 | .203 | .414 |
| $\sigma_{M}=\frac{S}{\sqrt{N}}$ | 0 | .64 | .049 |
| $\sigma_{p}=\frac{\sigma_{M}}{M}$ | 0 | .064 | .0049 |