Subjects statistics

Median Mode Range B4C72E

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1. **State the problem:** We are given tornado wind speeds in miles per hour: 190, 172, 126, 111, 159, 110, 145, 206, 161, 126, 126, 183. We need to find the Median, Mode, and Range of this data. 2. **Formulas and definitions:** - Median: The middle value when data is sorted. - Mode: The value that appears most frequently. - Range: Difference between the maximum and minimum values. 3. **Sort the data:** $$110, 111, 126, 126, 126, 145, 159, 161, 172, 183, 190, 206$$ 4. **Find the Median:** There are 12 data points (even number), so median is average of 6th and 7th values. 6th value = 145, 7th value = 159 $$\text{Median} = \frac{145 + 159}{2} = \frac{304}{2} = 152$$ 5. **Find the Mode:** The value 126 appears 3 times, more than any other number. $$\text{Mode} = 126$$ 6. **Find the Range:** Maximum value = 206, Minimum value = 110 $$\text{Range} = 206 - 110 = 96$$ **Final answers:** - Median = 152 mph - Mode = 126 mph - Range = 96 mph