1. **State the problem:** We are given the ages of state representatives: 72, 47, 57, 47, 68, 61, 33, 42, 68. We need to find the median, mode(s), and range of these ages.
2. **Median:** The median is the middle value when the data is ordered from least to greatest.
3. **Mode:** The mode is the value(s) that appear most frequently.
4. **Range:** The range is the difference between the maximum and minimum values.
5. **Order the data:**
$$33, 42, 47, 47, 57, 61, 68, 68, 72$$
6. **Find the median:** There are 9 values (odd number), so the median is the middle one, the 5th value.
7. The 5th value is $57$, so
$$\text{Median} = 57$$
8. **Find the mode:** The values 47 and 68 both appear twice, more than any other number.
$$\text{Mode} = 47 \text{ and } 68$$
9. **Find the range:**
$$\text{Range} = \text{max} - \text{min} = 72 - 33 = 39$$
10. **Final answers:**
Median: 57 years old
Mode: 47 AND 68
Range: 39 years old
Median Mode Range 8Aac4F
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