Subjects statistics

Median Mode Range 8Aac4F

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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