Answer
* **Both results are between 2 and 5**, confirming that standard deviation is not wildly inconsistent with the data spread indicated by the range.
Work Step by Step
### From 4.9:
#### Distribution a: 5, 4, 3, 2, 1, 0
* **Range**: $5 - 0 = 5$
* **Standard Deviation**: $S_a \approx 1.71$
$$
\text{Range} \div S = \frac{5}{1.71} \approx 2.92
$$
**Between 2 and 5**
---
#### Distribution b: 5, 5, 5, 0, 0, 0
* **Range**: $5 - 0 = 5$
* **Standard Deviation**: $S_b = 2.5$
$$
\text{Range} \div S = \frac{5}{2.5} = 2.0
$$
**Exactly 2 — still between 2 and 5**
