Question: Sample Roll # 1 Roll # 2 Roll # 3 Average 1 5 6 3 4.666667 2 6 4 2 4 3 6 4 3
| Sample | Roll # 1 | Roll # 2 | Roll # 3 | Average |
| 1 | 5 | 6 | 3 | 4.666667 |
| 2 | 6 | 4 | 2 | 4 |
| 3 | 6 | 4 | 3 | 4.333333 |
| 4 | 2 | 2 | 2 | 2 |
| 5 | 2 | 5 | 3 | 3.333333 |
| 6 | 2 | 5 | 1 | 2.666667 |
| 7 | 3 | 2 | 5 | 3.333333 |
| 8 | 4 | 3 | 1 | 2.666667 |
| 9 | 6 | 1 | 3 | 3.333333 |
| 10 | 3 | 6 | 1 | 3.333333 |
| 11 | 6 | 5 | 2 | 4.333333 |
| 12 | 2 | 1 | 5 | 2.666667 |
| 13 | 2 | 5 | 1 | 2.666667 |
| 14 | 6 | 6 | 5 | 5.666667 |
| 15 | 5 | 6 | 6 | 5.666667 |
| 16 | 3 | 5 | 3 | 3.666667 |
| 17 | 5 | 5 | 5 | 5 |
| 18 | 6 | 1 | 4 | 3.666667 |
| 19 | 1 | 5 | 5 | 3.666667 |
| 20 | 4 | 2 | 1 | 2.333333 |
| 21 | 3 | 1 | 1 | 1.666667 |
| 22 | 5 | 1 | 5 | 3.666667 |
| 23 | 2 | 3 | 2 | 2.333333 |
| 24 | 2 | 1 | 6 | 3 |
| 25 | 4 | 2 | 3 | 3 |
| 26 | 1 | 3 | 2 | 2 |
| 27 | 6 | 4 | 4 | 4.666667 |
| 28 | 2 | 5 | 4 | 3.666667 |
| 29 | 4 | 5 | 2 | 3.666667 |
| 30 | 5 | 3 | 4 | 4 |
| Average= | 3.766667 | 3.566667 | 3.133333 | 3.488889 |
| Std Dev= | 1.686877 | 1.764149 | 1.58605 | 1.006399 |
Does it make sense that the standard deviation of the averages is less? Why
How close was your experimental data to the mean and standard deviation of the population of the roll for a single die?
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