1. **State the problem:** We are given a data set representing the number of states traveled to or lived in: 2, 3, 6, 2, 6, 1, 11, 8, 2, 1, 5, 2, 1, 7, 14.
2. **Order the data from least to greatest:**
$$1, 1, 1, 2, 2, 2, 2, 3, 5, 6, 6, 7, 8, 11, 14$$
3. **Find the median:**
- The median is the middle value when data is ordered.
- Since there are 15 data points (odd number), the median is the 8th value.
- Counting to the 8th value: $$1, 1, 1, 2, 2, 2, 2, \boxed{3}, 5, 6, 6, 7, 8, 11, 14$$
- So, the median is $3$.
4. **Find the mode:**
- The mode is the value that appears most frequently.
- Count the frequency:
- 1 appears 3 times
- 2 appears 4 times
- Others appear less frequently
- The mode is $2$ because it appears 4 times.
5. **Find the range:**
- The range is the difference between the maximum and minimum values.
- Maximum value is $14$, minimum value is $1$.
- So, the range is $$14 - 1 = 13$$.
**Final answers:**
- Median: $3$
- Mode: $2$
- Range: $13$
Data Statistics 054049
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